on leading edge erosion at turbine blades due to heavy

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Page 1: On leading edge erosion at turbine blades due to heavy

General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors andor other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights

Users may download and print one copy of any publication from the public portal for the purpose of private study or research

You may not further distribute the material or use it for any profit-making activity or commercial gain

You may freely distribute the URL identifying the publication in the public portal If you believe that this document breaches copyright please contact us providing details and we will remove access to the work immediately and investigate your claim

Downloaded from orbitdtudk on Jun 01 2019

On leading edge erosion at turbine blades due to heavy rain and the application oferosion safe mode control to extend life

Hasager Charlotte Bay Bech Jakob Ilsted Bak Christian

Publication date2019

Document VersionPublishers PDF also known as Version of record

Link back to DTU Orbit

Citation (APA)Hasager C B (Author) Bech J I (Author) amp Bak C (Author) (2019) On leading edge erosion at turbineblades due to heavy rain and the application of erosion safe mode control to extend life SoundVisualproduction (digital) DTU Wind Energy

DTU Wind Energy1 May 2019

On leading edge erosion at turbine blades due to heavy rain and the application of erosion safe mode control to extend life

Charlotte Hasager Jakob I Bech Christian Bak

DTU Wind Energy Risoslash Campus Roskilde Denmark

DTU Wind Energy1 May 2019

Motivation

3

Unforeseen repair cost at several offshore wind farms motivated the research project

DTU Wind Energy1 May 2019

Working hypothesis

4

DTU Wind Energy1 May 2019 5

DTU Wind Energy1 May 2019

Simulated power curves for the Vestas V52 for different leading edge roughness levels

6

0

100

200

300

400

500

600

700

800

900

3 5 7 9 11 13

Elec

trica

l pow

er [k

W]

Wind speed [ms]

Clean 20 of full LER 40 of full LER

60 of full LER 80 of full LER Full LER Bech et al 2018 WES

LER is leading edge roughness Roughness levels increase for eroded blade

DTU Wind Energy1 May 2019

Rain erosion test example

7

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Rain erosion test data plotted as a Woumlhler curve

8

Bech et al 2018 WES

D is drop sizevt is blade speed

Impacts per unit area to failure as function of the kinetic energy for each impact

DTU Wind Energy1 May 2019

Woumlhler curves for droplet diameters of 15 20 and 25 mm

9

RET is Rain Erosion Test

Bech et al 2018 WES

Chart1

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

life model polytech data

Jakob Ilsted Bechantaget
Jakob Ilsted Bechantaget
Jakob Ilsted Bechcinetic energy with diameter

life model polytech data

kinetic energy [J]
impactsm2
rain impact fatigue

impact fatigue V-N

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

impact fatigue (4)

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

fig 3

Fit
Time to removed coating [hrs]
Local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

fig 4

Fit
Impactsarea to removed coating [cm-2]
Kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig5 v-N

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

ASTM E739 stat (timespeed)

ASTM E739 stat (impactsenergy)

fig accu energ

Fit
accumulated imapct energy [Jcm-2]
kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig

Fit
impacts to erosion [cm-2]
local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

ASTM E739 stat (impactsacc en)

ASTM E739 stat (impactsspeed)

DTU Wind Energy1 May 2019

Extending lifetime

10

DTU Wind Energy1 May 2019

Assumptions

11

Bech et al 2018 WES

Weibull Abull 7 msbull 8 msbull 9 ms

Wind turbine Rain climate Wind climate

Vestas V52 850 kW pitch regulated variable speed and modified rotation speed to make it consistent with larger turbines

The temperate maritime climateof occurences of rain intensity is taken from Jones and Sims 1978

DTU Wind Energy1 May 2019

Control strategies

12

Apart from a reference case where it is assumed that there is no erosion six different control strate

on the model for expected lifetime for the blade leading edge

bull Control strategy 1 with expected life time of 16 years bull Control strategy 2 with expected life time of 104 years bull Control strategy 3 with expected life time of 244 years bull Control strategy 4 with expected life time of 539 years bull Control strategy 5 with expected life time of 1065 years bull Control strategy 6 with expected life time of infinite many years

No reduction (90 ms)

Reduction rdquolightrdquo 80 ms and 70 ms

Reduction rdquosevererdquo 55ms 65ms and 70ms

Idealized

Bech et al 2018 WES

DTU Wind Energy1 May 2019 13

Life time of the blade leading edge with no reduction of the tip speed Control strategy 1

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 90 35 51 10 20 01 88 90 79 11 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 64

Expected life [years] 16

Bech et al 2018 WES

DTU Wind Energy1 May 2019 14

Life time of the blade leading edge with reduction of the tip speed to 70ms and 80msControl strategy 2

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 70 46 38 10 20 01 88 80 263 33 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 96

Expected life [years] 104

Bech et al 2018 WES

DTU Wind Energy1 May 2019 15

Life time of the blade leading edge with reduction of the tip speed to 55ms 65ms and 70msControl strategy 5

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 55 541 03 10 20 01 88 65 2215 04 5 15 1 88 70 47514 02 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 09

Expected life [years] 107

Bech et al 2018 WES

DTU Wind Energy1 May 2019

AEP relative to AEP with no erosion

16

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019 17

bull Energy price o 50 euroMWh o 250 euroMWh

bull Inspection cost o 500 eurorotor o 1500 eurorotor

bull Repair cost o 10000 eurorotor o 20000 eurorotor

Stand still of 1 day inspected

Stand still of 2 days repaired

Cost of operation and maintenance

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Loss of income due to erosion inspection and repair

18

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019

In what geography is leading edge erosion a challenge

19

DTU Wind Energy1 May 2019

Rainfall erosivity (for soils)

20

Rainfall erosivity for soils is modelled as a function of the kinetic energy of rain the maximum intensity of rainfall the cumulative rainfall the soil properties and the slopes of terrain The map on rainfall erosivity in Europe at 500 m spatial resolution assessed by European Soil Data Centre (Panagos et al 2015)

A map for wind turbine blades is in preparation in the EROSION research project

Rainfall erosivity (for wind turbine blades)

DTU Wind Energy1 May 2019

Conclusions

21

A framework for prediction and a mitigation strategy for leading edge erosion was presented

The model takes into account the entire value chain leading edge test data actual on site precipitation erosion rate loss of production due to erosion operation and maintenance

The lost energy production due to occasional tip speed reduction is marginal in proportion to the alternative of lost production due to eroded blades

Thus the cost ndash benefit balance of erosion control looks very promising and shows a great potential for reducing the loss of produced energy due to erosion and the cost of operation and maintenance

To accomplish erosion control there is a need for more knowledge on the correlation between precipitation and erosion for different leading edge structures and materials and for development of methods and equipment for on-site now casting of precipitation

DTU Wind Energy1 May 2019

Reading

22

DTU Wind Energy1 May 2019

Acknowledgements

23

Support from Innovation Fund Denmark is acknowledged

wwwrain-erosiondk

  • Slide Number 1
  • Slide Number 2
  • Motivation
  • Working hypothesis
  • Slide Number 5
  • Simulated power curves for the Vestas V52 for different leading edge roughness levels
  • Rain erosion test example
  • Rain erosion test data plotted as a Woumlhler curve
  • Woumlhler curves for droplet diameters of 15 20 and 25 mm
  • Extending lifetime
  • Assumptions
  • Control strategies
  • Slide Number 13
  • Slide Number 14
  • Slide Number 15
  • AEP relative to AEP with no erosion
  • Cost of operation and maintenance
  • Loss of income due to erosion inspection and repair
  • In what geography is leading edge erosion a challenge
  • Rainfall erosivity (for soils)
  • Conclusions
  • Reading
  • Acknowledgements
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 84830 2118 3929 4486 15433 83204033354 SUMX 12432 2118 39329 20398 00719 46563 45844 47282 4531984 1096 38407 1096 53477 1096
122000 157762 2086 4198 4353 17623 87585455209 SUMY 26153 2086 42253 20407 00707 46484 45777 47191 4450115 1098 37815 1098 52370 1098 Regression Statistics
118533 229919 2074 4362 4301 19023 90452114031 SUMXX 25762 2074 43412 20415 00696 46405 45709 47100 4369882 1100 37232 1100 51289 1100 Multiple R 08824404681
115733 299317 2063 4476 4258 20036 92363123663 SUMYY 114332 2063 44373 20424 00684 46326 45642 47010 4291248 1102 36657 1102 50235 1102 R Square 07787011797
112267 362940 2050 4560 4204 20792 93488041277 SUMXY 54151 2050 45596 20432 00673 46247 45574 46920 4214179 1105 36092 1105 49205 1105 Adjusted R Square 07510388271
109600 425182 2040 4629 4161 21424 94414167683 SAKX 00039016342 2040 46563 20441 00662 46169 45507 46831 4138641 1107 35535 1107 48201 1107 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 235430 20449 00651 46090 45439 46741 4064600 1109 34987 1109 47220 1109 Observations 10
SAPXY -00361255109 0000 235430 20458 00640 46012 45372 46652 3992024 1111 34447 1111 46263 1111
XMEAN 20719423346 0000 235430 20466 00630 45934 45304 46564 3920881 1113 33915 1113 45329 1113 ANOVA
YMEAN 4359 0000 235430 20474 00620 45856 45236 46475 3851140 1115 33391 1115 44417 1115 df SS MS F Significance F
A1 -92590717384 -92591 -01080 0000 235430 20483 00609 45778 45169 46388 3782770 1118 32875 1118 43527 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 23543 3491729856497833400000000 1031E-218 0000 235430 20491 00600 45700 45101 46300 3715744 1120 32366 1120 42658 1120 Residual 8 1901803363282 23772542041
R2 0990 (X=349172985649783000000000Y^-009) 0000 235430 20500 00590 45623 45033 46213 3650030 1122 31864 1122 41811 1122 Total 9 8593825130074
T-VALUE 2776 0000 235430 20508 00580 45546 44965 46126 3585602 1124 31370 1124 40983 1124
F-VALUE 6940 0000 235430 20516 00571 45468 44897 46040 3522431 1126 30883 1126 40176 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 1305806455 -79532652834 -105648781934 0000 235430 20525 00562 45391 44829 45954 3460491 1128 30403 1128 39388 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 23510 23576 0000 235430 20533 00554 45314 44761 45868 3399756 1131 29929 1131 38619 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 235430 20541 00545 45238 44693 45783 3340200 1133 29462 1133 37869 1133
Xmax 1312 20549 00537 45161 44624 45698 3281797 1135 29001 1135 37137 1135
Variansanalysetabel 20558 00529 45085 44556 45614 3224524 1137 28547 1137 36423 1137
SAK f S2 F 20566 00521 45008 44487 45530 3168356 1139 28099 1139 35726 1139 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 20574 00514 44932 44418 45446 3113270 1141 27657 1141 35046 1141
Residual 0003 4 0001 20582 00507 44856 44349 45363 3059243 1144 27220 1144 34382 1144 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 20591 00501 44780 44280 45281 3006253 1146 26790 1146 33735 1146 1 649620085731 04744116959 01032033599
20599 00494 44705 44210 45199 2954278 1148 26365 1148 33104 1148 2 847353753756 81224337994 17669515023
20607 00488 44629 44141 45117 2903297 1150 25945 1150 32488 1150 3 723989604863 -37728515527 -08207448511
20615 00483 44553 44071 45036 2853289 1152 25531 1152 31888 1152 4 839679896083 35389412933 07698600923
N = 3492E+23 S^ -926 20623 00478 44478 44001 44956 2804234 1154 25122 1154 31302 1154 5 802495136516 -30746271321 -06688533467
20631 00473 44403 43930 44876 2756111 1156 24719 1156 30730 1156 6 781834750473 -45407034997 -0987783104
20639 00468 44328 43860 44796 2708902 1159 24320 1159 30173 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 44253 43789 44717 2662587 1161 23927 1161 29630 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 44178 43718 44639 2617147 1163 23538 1163 29100 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 44104 43646 44561 2572566 1165 23154 1165 28583 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 44029 43575 44484 2528824 1167 22775 1167 28079 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 43955 43503 44407 2485905 1169 22401 1169 27587 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 43881 43430 44331 2443791 1172 22031 1172 27107 1172
6 24469 514 20696 00449 43807 43358 44255 2402467 1174 21666 1174 26640 1174
7 23646 474 20704 00448 43733 43285 44180 2361915 1176 21306 1176 26184 1176
8 2306 446 20712 00447 43659 43212 44106 2322120 1178 20950 1178 25739 1178
9 22622 426 20720 00447 43585 43138 44032 2283067 1180 20599 1180 25305 1180
10 22281 41 20728 00447 43512 43065 43959 2244741 1182 20252 1182 24881 1182
11 2201 398 20736 00448 43438 42991 43886 2207126 1185 19909 1185 24468 1185
12 21788 289 20743 00449 43365 42916 43814 2170208 1187 19571 1187 24065 1187
13 21604 381 20751 00450 43292 42842 43742 2133973 1189 19238 1189 23671 1189
14 21448 374 20759 00452 43219 42767 43671 2098407 1191 18909 1191 23287 1191
15 21315 368 20767 00455 43146 42691 43601 2063496 1193 18584 1193 22912 1193
16 21199 363 20775 00457 43073 42616 43531 2029229 1195 18264 1195 22546 1195
17 21098 359 20783 00460 43001 42540 43461 1995590 1198 17949 1198 22188 1198
18 21009 355 20791 00464 42928 42464 43392 1962568 1200 17637 1200 21838 1200
19 2093 352 20798 00468 42856 42388 43324 1930151 1202 17331 1202 21497 1202
20 2086 349 20806 00472 42784 42312 43256 1898326 1204 17028 1204 21163 1204
21 20796 347 20814 00477 42712 42235 43188 1867081 1206 16730 1206 20836 1206
22 20739 344 20822 00482 42640 42158 43121 1836405 1208 16437 1208 20517 1208
23 2069 342 20830 00487 42568 42081 43055 1806286 1210 16148 1210 20205 1210
24 2064 34 20837 00492 42496 42004 42988 1776714 1213 15863 1213 19900 1213
25 206 339 20845 00498 42425 41927 42923 1747678 1215 15583 1215 19601 1215
26 2056 337 20853 00504 42353 41849 42857 1719166 1217 15307 1217 19308 1217
27 2052 335 20860 00511 42282 41771 42792 1691168 1219 15036 1219 19022 1219
28 2048 334 20868 00517 42211 41693 42728 1663675 1221 14769 1221 18741 1221
29 2045 333 20876 00524 42140 41615 42664 1636677 1223 14506 1223 18466 1223
30 2042 332 20883 00531 42069 41537 42600 1610163 1226 14247 1226 18197 1226
31 2021 323 20891 00539 41998 41459 42537 1584124 1228 13993 1228 17933 1228
40 2021 323 20899 00546 41927 41381 42473 1558550 1230 13743 1230 17675 1230
41 2 315 20906 00554 41857 41303 42411 1533434 1232 13498 1232 17421 1232
60 2 315 20914 00562 41786 41224 42348 1508765 1234 13256 1234 17172 1234
61 198 307 20922 00570 41716 41146 42286 1484535 1236 13019 1236 16928 1236
120 198 307 20929 00579 41646 41067 42224 1460735 1239 12785 1239 16689 1239
121 196 3 20937 00587 41576 40989 42163 1437358 1241 12556 1241 16454 1241
20944 00596 41506 40910 42101 1414394 1243 12331 1243 16223 1243
20952 00605 41436 40831 42040 1391836 1245 12110 1245 15997 1245
20959 00614 41366 40753 41980 1369676 1247 11892 1247 15775 1247
20967 00623 41297 40674 41919 1347906 1249 11679 1249 15557 1249
20974 00632 41227 40595 41859 1326519 1252 11469 1252 15343 1252
20982 00641 41158 40517 41799 1305508 1254 11263 1254 15132 1254
20989 00651 41089 40438 41739 1284864 1256 11061 1256 14925 1256
20997 00660 41019 40359 41680 1264582 1258 10862 1258 14722 1258
21004 00670 40950 40281 41620 1244654 1260 10667 1260 14522 1260
21012 00680 40882 40202 41561 1225073 1262 10476 1262 14326 1262
21019 00690 40813 40123 41502 1205832 1264 10288 1264 14133 1264
21027 00699 40744 40045 41444 1186927 1267 10104 1267 13943 1267
21034 00709 40676 39966 41385 1168348 1269 9923 1269 13757 1269
21041 00720 40607 39888 41327 1150092 1271 9745 1271 13573 1271
21049 00730 40539 39809 41269 1132151 1273 9570 1273 13393 1273
21056 00740 40471 39731 41211 1114520 1275 9399 1275 13216 1275
21063 00750 40403 39653 41153 1097192 1277 9231 1277 13041 1277
21071 00761 40335 39574 41096 1080163 1280 9066 1280 12869 1280
21078 00771 40267 39496 41038 1063425 1282 8904 1282 12700 1282
21085 00782 40199 39418 40981 1046975 1284 8745 1284 12534 1284
21093 00792 40132 39340 40924 1030806 1286 8589 1286 12370 1286
21100 00803 40064 39262 40867 1014914 1288 8436 1288 12209 1288
21107 00813 39997 39184 40810 999292 1290 8286 1290 12051 1290
21115 00824 39930 39106 40754 983936 1293 8139 1293 11895 1293
21122 00835 39863 39028 40697 968842 1295 7994 1295 11741 1295
21129 00845 39795 38950 40641 954003 1297 7853 1297 11590 1297
21136 00856 39729 38872 40585 939416 1299 7713 1299 11441 1299
21143 00867 39662 38795 40529 925076 1301 7577 1301 11295 1301
21151 00878 39595 38717 40473 910978 1303 7443 1303 11150 1303
21158 00889 39528 38640 40417 897117 1306 7311 1306 11008 1306
21165 00900 39462 38562 40362 883490 1308 7182 1308 10868 1308
21172 00911 39396 38485 40306 870092 1310 7055 1310 10730 1310
21179 00921 39329 38408 40251 856918 1312 6931 1312 10595 1312
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 3058 -1443 2485 2082 6178 -35867216599 SUMX -9210 -1443 24899 -15993 00719 30570 29851 31288 114017 00 966 00 1345 00
0031 4918 -1506 2692 2269 7246 -40544199354 SUMY 16942 -1506 27191 -15974 00706 30502 29796 31208 112243 00 954 00 1321 00 Regression Statistics
0029 6766 -1531 2830 2345 8011 -433394905 SUMXX 14154 -1531 28099 -15956 00693 30434 29740 31127 110504 00 942 00 1296 00 Multiple R 08824404681
0028 8397 -1552 2924 2409 8550 -45382863655 SUMYY 48049 -1552 28853 -15937 00681 30366 29685 31047 108799 00 930 00 1273 00 R Square 07787011797
0026 9581 -1578 2981 2491 8889 -47059517004 SUMXY -26064 -1578 29812 -15919 00669 30299 29630 30968 107127 00 918 00 1250 00 Adjusted R Square 07510388271
0025 10697 -1599 3029 2558 9176 -48447490003 SAKX 00156065368 -1599 30570 -15900 00657 30232 29575 30889 105489 00 907 00 1227 00 Standard Error 48757093885
SAKY (SAKtotal) 021 0000 -27478 -15882 00645 30165 29520 30811 103882 00 895 00 1205 00 Observations 10
SAPXY -0056644485 0000 -27478 -15864 00634 30099 29465 30733 102306 00 884 00 1184 00
XMEAN -15350567173 0000 -27478 -15845 00623 30033 29410 30655 100760 00 873 00 1163 00 ANOVA
YMEAN 2824 0000 -27478 -15827 00612 29967 29356 30579 99245 00 862 00 1143 00 df SS MS F Significance F
A1 -36295358692 -36295 -02755 0000 -27478 -15809 00601 29902 29301 30502 97758 00 851 00 1123 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 9404E+09 0000 -27478 -15791 00590 29836 29246 30427 96299 00 841 00 1103 00 Residual 8 1901803363282 23772542041
R2 0983 (X=00Y^-004) 0000 -27478 -15773 00580 29771 29191 30352 94868 00 830 00 1084 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 29706 29136 30277 93464 00 820 00 1066 00
F-VALUE 6940 0000 -27478 -15738 00561 29642 29081 30203 92087 00 809 00 1048 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -29766326417 -42824390967 0000 -27478 -15720 00552 29578 29026 30129 90735 00 799 00 1030 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 29514 28971 30057 89409 00 789 00 1013 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 29450 28916 29984 88107 00 779 00 996 00
Xmax 00360517444 -15667 00526 29387 28861 29913 86829 00 769 00 980 00
Variansanalysetabel -15650 00518 29323 28805 29842 85575 00 760 00 964 00
SAK f S2 F -15633 00511 29261 28750 29771 84343 00 750 00 949 00 RESIDUAL OUTPUT
Regress 02055931902 1 0206 23821 -15615 00503 29198 28694 29701 83135 00 740 00 934 00
Residual 0003 4 0001 -15598 00497 29135 28639 29632 81948 00 731 00 919 00 Observation Predicted Y Residuals Standard Residuals
Total 0209 5 -15581 00490 29073 28583 29563 80783 00 722 00 904 00 1 649620085731 04744116959 01032033599
-15564 00484 29011 28527 29496 79639 00 712 00 890 00 2 847353753756 81224337994 17669515023
-15547 00479 28950 28471 29428 78515 00 703 00 877 00 3 723989604863 -37728515527 -08207448511
-15530 00474 28888 28414 29362 77412 00 694 00 863 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -363 -15513 00469 28827 28358 29296 76328 00 685 00 850 00 5 802495136516 -30746271321 -06688533467
-15496 00465 28766 28301 29231 75264 00 676 00 838 00 6 781834750473 -45407034997 -0987783104
-15479 00461 28705 28244 29166 74218 00 667 00 825 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 28645 28187 29102 73191 00 659 00 813 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 28584 28130 29039 72182 00 650 00 801 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 28524 28072 28976 71190 00 642 00 790 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 28464 28014 28915 70216 00 633 00 779 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 28405 27956 28853 69259 00 625 00 768 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 28345 27898 28793 68319 00 616 00 757 00
6 24469 514 -15364 00447 28286 27839 28733 67394 00 608 00 747 00
7 23646 474 -15348 00447 28227 27780 28674 66486 00 600 00 737 00
8 2306 446 -15332 00447 28169 27721 28616 65593 00 592 00 727 00
9 22622 426 -15316 00448 28110 27662 28558 64715 00 584 00 717 00
10 22281 41 -15299 00449 28052 27603 28501 63853 00 576 00 708 00
11 2201 398 -15283 00451 27994 27543 28444 63005 00 568 00 699 00
12 21788 289 -15268 00453 27936 27483 28389 62171 00 560 00 690 00
13 21604 381 -15252 00455 27878 27423 28333 61351 00 552 00 681 00
14 21448 374 -15236 00458 27821 27363 28279 60545 00 545 00 673 00
15 21315 368 -15220 00461 27764 27302 28225 59752 00 537 00 664 00
16 21199 363 -15204 00465 27707 27242 28171 58973 00 530 00 656 00
17 21098 359 -15189 00469 27650 27181 28119 58207 00 523 00 648 00
18 21009 355 -15173 00473 27593 27120 28066 57453 00 515 00 641 00
19 2093 352 -15158 00478 27537 27059 28014 56711 00 508 00 633 00
20 2086 349 -15142 00483 27480 26998 27963 55982 00 501 00 626 00
21 20796 347 -15127 00488 27424 26936 27912 55265 00 494 00 618 00
22 20739 344 -15111 00494 27369 26875 27862 54559 00 487 00 611 00
23 2069 342 -15096 00499 27313 26814 27812 53865 00 480 00 604 00
24 2064 34 -15081 00506 27258 26752 27763 53182 00 473 00 597 00
25 206 339 -15065 00512 27202 26691 27714 52510 00 467 00 591 00
26 2056 337 -15050 00519 27147 26629 27666 51849 00 460 00 584 00
27 2052 335 -15035 00525 27093 26567 27618 51198 00 454 00 578 00
28 2048 334 -15020 00532 27038 26506 27570 50558 00 447 00 572 00
29 2045 333 -15005 00540 26983 26444 27523 49928 00 441 00 565 00
30 2042 332 -14990 00547 26929 26382 27476 49308 00 435 00 559 00
31 2021 323 -14975 00555 26875 26320 27430 48698 00 429 00 553 00
40 2021 323 -14960 00563 26821 26259 27384 48097 00 423 00 547 00
41 2 315 -14946 00571 26767 26197 27338 47506 00 417 00 542 00
60 2 315 -14931 00579 26714 26135 27293 46924 00 411 00 536 00
61 198 307 -14916 00587 26661 26074 27248 46351 00 405 00 531 00
120 198 307 -14902 00595 26607 26012 27203 45787 00 399 00 525 00
121 196 3 -14887 00604 26554 25951 27158 45232 00 394 00 520 00
-14872 00613 26502 25889 27114 44685 00 388 00 515 00
-14858 00621 26449 25828 27070 44147 00 383 00 509 00
-14843 00630 26397 25766 27027 43617 00 377 00 504 00
-14829 00639 26344 25705 26983 43095 00 372 00 499 00
-14815 00648 26292 25644 26940 42580 00 367 00 494 00
-14800 00657 26240 25583 26897 42074 00 362 00 489 00
-14786 00667 26188 25522 26855 41576 00 357 00 485 00
-14772 00676 26137 25461 26813 41084 00 352 00 480 00
-14758 00685 26085 25400 26771 40601 00 347 00 475 00
-14744 00695 26034 25339 26729 40124 00 342 00 471 00
-14729 00704 25983 25279 26687 39655 00 337 00 466 00
-14715 00714 25932 25218 26646 39192 00 333 00 462 00
-14701 00723 25881 25158 26604 38737 00 328 00 458 00
-14688 00733 25831 25098 26564 38288 00 323 00 453 00
-14674 00743 25780 25038 26523 37846 00 319 00 449 00
-14660 00752 25730 24978 26482 37410 00 315 00 445 00
-14646 00762 25680 24918 26442 36981 00 310 00 441 00
-14632 00772 25630 24858 26402 36558 00 306 00 437 00
-14618 00782 25580 24798 26362 36141 00 302 00 433 00
-14605 00792 25530 24739 26322 35730 00 298 00 429 00
-14591 00801 25481 24679 26282 35325 00 294 00 425 00
-14578 00811 25431 24620 26243 34926 00 290 00 421 00
-14564 00821 25382 24561 26204 34533 00 286 00 417 00
-14550 00831 25333 24502 26165 34145 00 282 00 413 00
-14537 00841 25284 24443 26126 33763 00 278 00 410 00
-14524 00851 25236 24384 26087 33386 00 274 00 406 00
-14510 00861 25187 24326 26048 33015 00 271 00 403 00
-14497 00871 25139 24267 26010 32648 00 267 00 399 00
-14484 00881 25090 24209 25972 32287 00 264 00 396 00
-14470 00891 25042 24151 25934 31932 00 260 00 392 00
-14457 00901 24994 24093 25896 31581 00 257 00 389 00
-14444 00911 24946 24035 25858 31235 00 253 00 385 00
-14431 00921 24899 23977 25820 30893 00 250 00 382 00
8482958466798 453198415510438
157762337339841 445011526968153
229919209664129 436988185343382
299317396308158 429124812025937
362939584809143 42141791349927
425182430469998 413864079156283
406459979175265
399202362454331
392088054602438
385113955985505
378277039825948
371574350354031
3650030010096
358560172692686
352243112061582
346049129876992
339975599390947
334019954779185
328179689615728
322452355388469
316835560054579
311326966634576
305924291843988
300625304761508
295427825532595
290329724107552
28532891901306
280423376156244
275611107660335
270890170731068
266258666552894
261714739214239
257256574660917
252882399676985
248590480892212
244379123815443
240246671893146
23619150559242
232212041507809
22830673149124
224474061804437
220712552293262
217020755583252
213397256295896
209840670285
206349643892635
202922853224091
199559003441363
196256828074617
193015088351196
189832572541652
186708095322343
183640497154179
180628643677042
177671425119486
174767755723285
171916573182442
16911683809627
166367533436157
16366766402567
161016256033615
158412356479738
155855032752697
153343372140009
150876481369642
148453486162936
146073530798571
143735777687276
141439406957002
139183616048281
136967619319522
134790647661941
132651948123926
130550783544548
128486432196003
126458187434752
12446535736111
122507264487102
120583245412343
118692650507738
116834843606817
115009201704496
113215114663065
111451984925241
10971922723408
10801626835959
106342546831866
10469751268058
103080627180672
101491362604075
99929201977326
98393638844908
96884177038201
95400330449854
93941622813496
92507587488613
91097767250473
89711714084978
88348988988316
87009161771285
85691810868186
3058254506667 11401660489024
4917921666667 11224254241385
6765733182963 11050353869471
8396677941728 10879875483775
9580641906173 10712737548677
1069682848 10548860806755
1038816820583
10230584828653
10076037825111
9924456346858
9775771484275
9629916205667
9486825298608
934643531335
9208684508213
9073512796881
8940861697535
8810674283738
8682895137025
8557470301108
8434347237659
8313474783592
8194803109801
8078283681286
796386921863
7851513660757
7741172128948
7632800892042
7526357332798
7421799915369
7319088153841
7218182581804
7119044722924
7021637062462
6925923019723
6831866921392
6739433975727
6648590247583
6559302634229
6471538841935
6385267363303
6300457455314
6217079118063
6135103074163
6054500748792
597524425036
5897306351775
5820660472292
5745280659917
5671141574349
559821847045
5526487182213
5455924107218
5386506191562
5318210915236
5251016277946
5184900785361
5119843435765
5055823707109
4992821544449
4930817347748
4869791960047
4809726655972
4750603130585
4692403488555
4635110233648
4578706258517
4523174834784
4468499603418
4414664565374
4361654072513
4309452818768
4258045831573
420741846352
4157556384267
410844557266
4060072309079
4012423168008
3965485010793
3919244978615
3873690485654
3828809212438
3784589099379
3741018340481
3698085377224
3655778892613
3614087805387
3573001264389
3532508643077
34925995342
3453263744596
3414491290147
3376272390858
3338597466066
3301457129784
326484218616
3228743625054
3193152617745
3158060512727
312345883164
3089339265284
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 84830 -1443 3929 2082 15433 -56691834105 SUMX -9210 -1443 39329 -15993 00719 46563 45844 47282 4531984 00 38407 00 53477 00
0031 157762 -1506 4198 2269 17623 -63231238203 SUMY 26153 -1506 42253 -15974 00706 46476 45770 47182 4442233 00 37758 00 52264 00 Regression Statistics
0029 229919 -1531 4362 2345 19023 -66787074357 SUMXX 14154 -1531 43412 -15956 00693 46390 45696 47083 4354634 00 37120 00 51085 00 Multiple R 08824404681
0028 299317 -1552 4476 2409 20036 -69470662987 SUMYY 114332 -1552 44373 -15937 00681 46303 45622 46984 4269127 00 36495 00 49939 00 R Square 07787011797
0026 362940 -1578 4560 2491 20792 -71974236821 SUMXY -40218 -1578 45596 -15919 00669 46218 45549 46886 4185652 00 35882 00 48826 00 Adjusted R Square 07510388271
0025 425182 -1599 4629 2558 21424 -74025743521 SAKX 00156065368 -1599 46563 -15900 00657 46132 45475 46789 4104154 00 35280 00 47743 00 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 -27478 -15882 00645 46047 45402 46692 4024578 00 34690 00 46692 00 Observations 10
SAPXY -00722510218 0000 -27478 -15864 00634 45963 45329 46596 3946870 00 34110 00 45670 00
XMEAN -15350567173 0000 -27478 -15845 00623 45878 45256 46501 3870979 00 33540 00 44676 00 ANOVA
YMEAN 4359 0000 -27478 -15827 00612 45794 45183 46406 3796854 00 32981 00 43710 00 df SS MS F Significance F
A1 -46295358692 -46295 -02160 0000 -27478 -15809 00601 45711 45110 46311 3724449 00 32432 00 42771 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 5262E+12 0000 -27478 -15791 00590 45627 45037 46218 3653716 00 31893 00 41858 00 Residual 8 1901803363282 23772542041
R2 0990 (X=00Y^-005) 0000 -27478 -15773 00580 45544 44964 46125 3584610 00 31362 00 40971 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 45462 44891 46032 3517086 00 30842 00 40108 00
F-VALUE 6940 0000 -27478 -15738 00561 45380 44819 45941 3451104 00 30330 00 39269 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -39766326417 -52824390967 0000 -27478 -15720 00552 45298 44746 45849 3386620 00 29826 00 38453 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 45216 44673 45759 3323595 00 29331 00 37660 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 45135 44601 45669 3261991 00 28844 00 36889 00
Xmax 00360517444 -15667 00526 45054 44528 45580 3201770 00 28366 00 36140 00
Variansanalysetabel -15650 00518 44973 44455 45491 3142896 00 27895 00 35411 00
SAK f S2 F -15633 00511 44893 44382 45404 3085332 00 27431 00 34702 00 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 -15615 00503 44813 44310 45316 3029046 00 26975 00 34013 00
Residual 0003 4 0001 -15598 00497 44733 44237 45230 2974003 00 26526 00 33343 00 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 -15581 00490 44654 44164 45144 2920172 00 26084 00 32692 00 1 649620085731 04744116959 01032033599
-15564 00484 44575 44091 45059 2867521 00 25649 00 32058 00 2 847353753756 81224337994 17669515023
-15547 00479 44496 44018 44975 2816020 00 25221 00 31442 00 3 723989604863 -37728515527 -08207448511
-15530 00474 44418 43944 44892 2765640 00 24799 00 30843 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -463 -15513 00469 44340 43871 44809 2716351 00 24383 00 30261 00 5 802495136516 -30746271321 -06688533467
-15496 00465 44262 43797 44727 2668126 00 23974 00 29694 00 6 781834750473 -45407034997 -0987783104
-15479 00461 44185 43724 44645 2620939 00 23571 00 29144 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 44107 43650 44565 2574762 00 23173 00 28608 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 44030 43576 44485 2529571 00 22782 00 28087 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 43954 43502 44406 2485341 00 22396 00 27581 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 43878 43427 44328 2442047 00 22016 00 27088 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 43802 43353 44250 2399668 00 21641 00 26608 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 43726 43278 44173 2358179 00 21272 00 26142 00
6 24469 514 -15364 00447 43650 43203 44097 2317559 00 20909 00 25688 00
7 23646 474 -15348 00447 43575 43128 44022 2277787 00 20551 00 25246 00
8 2306 446 -15332 00447 43500 43053 43947 2238842 00 20198 00 24816 00
9 22622 426 -15316 00448 43426 42978 43873 2200703 00 19851 00 24398 00
10 22281 41 -15299 00449 43351 42902 43800 2163352 00 19508 00 23990 00
11 2201 398 -15283 00451 43277 42827 43728 2126768 00 19171 00 23593 00
12 21788 289 -15268 00453 43203 42751 43656 2090935 00 18840 00 23207 00
13 21604 381 -15252 00455 43130 42675 43585 2055832 00 18513 00 22830 00
14 21448 374 -15236 00458 43057 42599 43515 2021444 00 18191 00 22463 00
15 21315 368 -15220 00461 42984 42522 43445 1987753 00 17875 00 22105 00
16 21199 363 -15204 00465 42911 42446 43376 1954742 00 17563 00 21756 00
17 21098 359 -15189 00469 42838 42370 43307 1922395 00 17257 00 21415 00
18 21009 355 -15173 00473 42766 42293 43239 1890697 00 16956 00 21083 00
19 2093 352 -15158 00478 42694 42217 43172 1859632 00 16659 00 20759 00
20 2086 349 -15142 00483 42623 42140 43105 1829186 00 16368 00 20442 00
21 20796 347 -15127 00488 42551 42063 43039 1799343 00 16081 00 20133 00
22 20739 344 -15111 00494 42480 41986 42974 1770091 00 15799 00 19831 00
23 2069 342 -15096 00499 42409 41910 42908 1741415 00 15522 00 19536 00
24 2064 34 -15081 00506 42338 41833 42844 1713302 00 15250 00 19248 00
25 206 339 -15065 00512 42268 41756 42780 1685738 00 14983 00 18966 00
26 2056 337 -15050 00519 42198 41679 42716 1658712 00 14720 00 18691 00
27 2052 335 -15035 00525 42128 41602 42653 1632212 00 14462 00 18421 00
28 2048 334 -15020 00532 42058 41526 42590 1606224 00 14209 00 18157 00
29 2045 333 -15005 00540 41989 41449 42528 1580737 00 13960 00 17899 00
30 2042 332 -14990 00547 41919 41372 42466 1555741 00 13716 00 17646 00
31 2021 323 -14975 00555 41850 41296 42405 1531224 00 13476 00 17399 00
40 2021 323 -14960 00563 41782 41219 42344 1507175 00 13241 00 17156 00
41 2 315 -14946 00571 41713 41143 42284 1483584 00 13009 00 16919 00
60 2 315 -14931 00579 41645 41066 42224 1460440 00 12783 00 16686 00
61 198 307 -14916 00587 41577 40990 42164 1437734 00 12560 00 16458 00
120 198 307 -14902 00595 41509 40914 42104 1415455 00 12341 00 16234 00
121 196 3 -14887 00604 41441 40838 42045 1393595 00 12127 00 16015 00
-14872 00613 41374 40761 41987 1372144 00 11916 00 15800 00
-14858 00621 41307 40686 41928 1351094 00 11710 00 15589 00
-14843 00630 41240 40610 41870 1330434 00 11507 00 15382 00
-14829 00639 41173 40534 41812 1310158 00 11309 00 15179 00
-14815 00648 41107 40459 41755 1290256 00 11114 00 14979 00
-14800 00657 41041 40383 41698 1270721 00 10922 00 14784 00
-14786 00667 40974 40308 41641 1251544 00 10735 00 14591 00
-14772 00676 40909 40233 41584 1232718 00 10551 00 14403 00
-14758 00685 40843 40158 41528 1214235 00 10370 00 14217 00
-14744 00695 40778 40083 41472 1196088 00 10193 00 14035 00
-14729 00704 40712 40008 41417 1178269 00 10019 00 13857 00
-14715 00714 40647 39934 41361 1160773 00 9849 00 13681 00
-14701 00723 40583 39859 41306 1143591 00 9682 00 13508 00
-14688 00733 40518 39785 41251 1126718 00 9518 00 13338 00
-14674 00743 40454 39711 41196 1110146 00 9357 00 13172 00
-14660 00752 40390 39637 41142 1093870 00 9199 00 13008 00
-14646 00762 40326 39564 41088 1077883 00 9044 00 12846 00
-14632 00772 40262 39490 41034 1062179 00 8892 00 12688 00
-14618 00782 40198 39417 40980 1046753 00 8743 00 12532 00
-14605 00792 40135 39344 40927 1031598 00 8597 00 12378 00
-14591 00801 40072 39271 40873 1016710 00 8454 00 12228 00
-14578 00811 40009 39198 40820 1002081 00 8313 00 12079 00
-14564 00821 39946 39125 40768 987708 00 8175 00 11933 00
-14550 00831 39884 39052 40715 973585 00 8040 00 11790 00
-14537 00841 39821 38980 40663 959706 00 7907 00 11648 00
-14524 00851 39759 38908 40610 946068 00 7777 00 11509 00
-14510 00861 39697 38836 40558 932664 00 7649 00 11372 00
-14497 00871 39635 38764 40507 919491 00 7524 00 11238 00
-14484 00881 39574 38693 40455 906543 00 7400 00 11105 00
-14470 00891 39512 38621 40404 893816 00 7280 00 10974 00
-14457 00901 39451 38550 40353 881306 00 7161 00 10846 00
-14444 00911 39390 38479 40302 869008 00 7045 00 10719 00
-14431 00921 39329 38408 40251 856918 00 6931 00 10595 00
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 05 2118 -0301 4486 0091 -06375616132 SUMX 12432 2118 -02966 20398 00719 05048 04330 05767 320 1096 3 1096 4 1096
122000 10 2086 0000 4353 0000 0 SUMY 1051 2086 00273 20407 00707 04961 04254 05668 313 1098 3 1098 4 1098 Regression Statistics
118533 15 2074 0176 4301 0031 03651851843 SUMXX 25762 2074 01557 20415 00696 04873 04177 05569 307 1100 3 1100 4 1100 Multiple R 08824404681
115733 20 2063 0301 4258 0091 06211628918 SUMYY 0598 2063 02622 20424 00684 04786 04101 05470 301 1102 3 1102 4 1102 R Square 07787011797
112267 25 2050 0398 4204 0158 08158768323 SUMXY 2138 2050 03977 20432 00673 04698 04025 05371 295 1105 3 1105 3 1105 Adjusted R Square 07510388271
109600 30 2040 0477 4161 0228 0973236971 SAKX 00039016342 2040 05048 20441 00662 04611 03949 05273 289 1107 2 1107 3 1107 Standard Error 48757093885
SAKY (SAKtotal) 041 0000 214314 20449 00651 04525 03873 05176 283 1109 2 1109 3 1109 Observations 10
SAPXY -00400271451 0000 214314 20458 00640 04438 03797 05078 278 1111 2 1111 3 1111
XMEAN 20719423346 0000 214314 20466 00630 04351 03721 04981 272 1113 2 1113 3 1113 ANOVA
YMEAN 0175 0000 214314 20474 00620 04265 03645 04885 267 1115 2 1115 3 1115 df SS MS F Significance F
A1 -102590717384 -102591 -00975 0000 214314 20483 00609 04179 03569 04788 262 1118 2 1118 3 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 21431 27002074746314896000000 1361E-220 0000 214314 20491 00600 04093 03493 04692 257 1120 2 1120 3 1120 Residual 8 1901803363282 23772542041
R2 0992 (X=2700207474631490000000Y^-010) 0000 214314 20500 00590 04007 03417 04597 252 1122 2 1122 3 1122 Total 9 8593825130074
T-VALUE 2776 0000 214314 20508 00580 03921 03341 04502 247 1124 2 1124 3 1124
F-VALUE 6940 0000 214314 20516 00571 03836 03264 04407 242 1126 2 1126 3 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 13058064549 -89532652835 -115648781933 0000 214314 20525 00562 03750 03188 04313 237 1128 2 1128 3 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 21398 21465 0000 214314 20533 00554 03665 03112 04219 233 1131 2 1131 3 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 214314 20541 00545 03580 03035 04125 228 1133 2 1133 3 1133
Xmax 1312 20549 00537 03495 02958 04032 224 1135 2 1135 3 1135
Variansanalysetabel 20558 00529 03410 02881 03940 219 1137 2 1137 2 1137
SAK f S2 F 20566 00521 03326 02804 03847 215 1139 2 1139 2 1139 RESIDUAL OUTPUT
Regress 04106413531 1 0411 47580 20574 00514 03242 02727 03756 211 1141 2 1141 2 1141
Residual 0003 4 0001 20582 00507 03157 02650 03664 207 1144 2 1144 2 1144 Observation Predicted Y Residuals Standard Residuals
Total 0414 5 20591 00501 03073 02573 03574 203 1146 2 1146 2 1146 1 649620085731 04744116959 01032033599
20599 00494 02989 02495 03484 199 1148 2 1148 2 1148 2 847353753756 81224337994 17669515023
20607 00488 02906 02417 03394 195 1150 2 1150 2 1150 3 723989604863 -37728515527 -08207448511
20615 00483 02822 02339 03305 192 1152 2 1152 2 1152 4 839679896083 35389412933 07698600923
N = 2700E+21 S^ -1026 20623 00478 02738 02261 03216 188 1154 2 1154 2 1154 5 802495136516 -30746271321 -06688533467
20631 00473 02655 02182 03128 184 1156 2 1156 2 1156 6 781834750473 -45407034997 -0987783104
20639 00468 02572 02104 03040 181 1159 2 1159 2 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 02489 02025 02953 177 1161 2 1161 2 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 02406 01946 02867 174 1163 2 1163 2 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 02324 01866 02781 171 1165 2 1165 2 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 02241 01786 02696 168 1167 2 1167 2 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 02159 01706 02611 164 1169 1 1169 2 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 02076 01626 02527 161 1172 1 1172 2 1172
6 24469 514 20696 00449 01994 01546 02443 158 1174 1 1174 2 1174
7 23646 474 20704 00448 01912 01465 02360 155 1176 1 1176 2 1176
8 2306 446 20712 00447 01831 01384 02278 152 1178 1 1178 2 1178
9 22622 426 20720 00447 01749 01302 02196 150 1180 1 1180 2 1180
10 22281 41 20728 00447 01668 01221 02115 147 1182 1 1182 2 1182
11 2201 398 20736 00448 01586 01139 02034 144 1185 1 1185 2 1185
12 21788 289 20743 00449 01505 01056 01954 141 1187 1 1187 2 1187
13 21604 381 20751 00450 01424 00974 01874 139 1189 1 1189 2 1189
14 21448 374 20759 00452 01343 00891 01795 136 1191 1 1191 2 1191
15 21315 368 20767 00455 01262 00808 01717 134 1193 1 1193 1 1193
16 21199 363 20775 00457 01182 00725 01639 131 1195 1 1195 1 1195
17 21098 359 20783 00460 01101 00641 01562 129 1198 1 1198 1 1198
18 21009 355 20791 00464 01021 00557 01485 127 1200 1 1200 1 1200
19 2093 352 20798 00468 00941 00473 01409 124 1202 1 1202 1 1202
20 2086 349 20806 00472 00861 00389 01333 122 1204 1 1204 1 1204
21 20796 347 20814 00477 00781 00305 01258 120 1206 1 1206 1 1206
22 20739 344 20822 00482 00701 00220 01183 118 1208 1 1208 1 1208
23 2069 342 20830 00487 00622 00135 01109 115 1210 1 1210 1 1210
24 2064 34 20837 00492 00542 00050 01035 113 1213 1 1213 1 1213
25 206 339 20845 00498 00463 -00035 00961 111 1215 1 1215 1 1215
26 2056 337 20853 00504 00384 -00120 00888 109 1217 1 1217 1 1217
27 2052 335 20860 00511 00305 -00206 00816 107 1219 1 1219 1 1219
28 2048 334 20868 00517 00226 -00291 00743 105 1221 1 1221 1 1221
29 2045 333 20876 00524 00147 -00377 00672 103 1223 1 1223 1 1223
30 2042 332 20883 00531 00069 -00463 00600 102 1226 1 1226 1 1226
31 2021 323 20891 00539 -00010 -00548 00529 100 1228 1 1228 1 1228
40 2021 323 20899 00546 -00088 -00634 00458 098 1230 1 1230 1 1230
41 2 315 20906 00554 -00166 -00720 00388 096 1232 1 1232 1 1232
60 2 315 20914 00562 -00244 -00806 00318 095 1234 1 1234 1 1234
61 198 307 20922 00570 -00322 -00892 00248 093 1236 1 1236 1 1236
120 198 307 20929 00579 -00400 -00978 00179 091 1239 1 1239 1 1239
121 196 3 20937 00587 -00478 -01065 00110 090 1241 1 1241 1 1241
20944 00596 -00555 -01151 00041 088 1243 1 1243 1 1243
20952 00605 -00632 -01237 -00028 086 1245 1 1245 1 1245
20959 00614 -00710 -01323 -00096 085 1247 1 1247 1 1247
20967 00623 -00787 -01409 -00164 083 1249 1 1249 1 1249
20974 00632 -00864 -01496 -00232 082 1252 1 1252 1 1252
20982 00641 -00941 -01582 -00299 081 1254 1 1254 1 1254
20989 00651 -01017 -01668 -00367 079 1256 1 1256 1 1256
20997 00660 -01094 -01754 -00434 078 1258 1 1258 1 1258
21004 00670 -01170 -01840 -00500 076 1260 1 1260 1 1260
21012 00680 -01247 -01926 -00567 075 1262 1 1262 1 1262
21019 00690 -01323 -02012 -00633 074 1264 1 1264 1 1264
21027 00699 -01399 -02098 -00699 072 1267 1 1267 1 1267
21034 00709 -01475 -02184 -00765 071 1269 1 1269 1 1269
21041 00720 -01550 -02270 -00831 070 1271 1 1271 1 1271
21049 00730 -01626 -02356 -00896 069 1273 1 1273 1 1273
21056 00740 -01702 -02442 -00962 068 1275 1 1275 1 1275
21063 00750 -01777 -02527 -01027 066 1277 1 1277 1 1277
21071 00761 -01852 -02613 -01092 065 1280 1 1280 1 1280
21078 00771 -01927 -02699 -01156 064 1282 1 1282 1 1282
21085 00782 -02002 -02784 -01221 063 1284 1 1284 1 1284
21093 00792 -02077 -02869 -01285 062 1286 1 1286 1 1286
21100 00803 -02152 -02955 -01349 061 1288 1 1288 1 1288
21107 00813 -02227 -03040 -01413 060 1290 0 1290 1 1290
21115 00824 -02301 -03125 -01477 059 1293 0 1293 1 1293
21122 00835 -02376 -03210 -01541 058 1295 0 1295 1 1295
21129 00845 -02450 -03295 -01605 057 1297 0 1297 1 1297
21136 00856 -02524 -03380 -01668 056 1299 0 1299 1 1299
21143 00867 -02598 -03465 -01731 055 1301 0 1301 1 1301
21151 00878 -02672 -03550 -01794 054 1303 0 1303 1 1303
21158 00889 -02746 -03634 -01857 053 1306 0 1306 1 1306
21165 00900 -02819 -03719 -01920 052 1308 0 1308 1 1308
21172 00911 -02893 -03803 -01982 051 1310 0 1310 1 1310
21179 00921 -02966 -03888 -02045 051 1312 0 1312 1 1312
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
8482958466798 453198415509923
157762337339841 444223298518267
229919209664129 435463395651789
299317396308158 426912655401948
362939584809143 418565221258607
425182430469998 410415424632938
402457778065734
394686968708487
387097852065186
379685445983355
372444924883448
365371614216194
35846098513798
351708649394869
345110354406237
338661978539499
332359526567722
326199125302371
320177019393754
314289567292081
308533237362397
302904604146922
297400344768675
292017235470486
286752148283813
281602047821987
276563988192795
271635110025519
266812637607734
262093876127455
257476209016332
252957095389845
248534067580594
244204728760957
239966750651574
235817871312228
23175589301187
227778680174694
223884157399223
220070307547618
216335169902413
212676838388095
209093459855011
205583232423197
202144403883818
198775270156044
195474173797216
192239502564294
189069688024643
185963204214298
182918566341916
179934329536705
177009087638707
174141472029822
171330150504106
168573826175856
165871236424115
16322115187225
160622375401323
158073741196027
155574113821997
15312238733337
150717484409499
148358355519769
146043978115519
143773355848089
141545517812079
139359517812904
137214433657812
135109366469516
133043440021664
131015800095362
129025613856046
127072069249961
125154374419592
12327175713739
121423464257146
119608761182432
117826931351499
116077275738105
114359112367685
112671775848397
111014616916491
109387001995557
107788312769166
106217945766462
104675311960271
103159836377317
101670957720132
10020812800029
98770812182574
97358487839736
9597064481748
94606784909365
93266421541272
91949079465149
90654294461729
89381613051922
88130592216609
86900799124579
85691810868326
05 31976750428
1 31337340646
15 30711935499
2 30100201659
25 29501814358
3 28916457161
28343821727
27783607596
27235521965
26699279482
26174602045
25661218598
25158864946
24667283564
24186223417
23715439788
23254694103
22803753765
22362392
21930387691
21507525235
21093594389
20688390133
20291712524
19903366566
19523162079
19150913566
18786440095
18429565175
18080116642
1773792654
17402831016
1707467021
1675328815
16438532653
16130255221
15828310953
15532558443
15242859697
14959080039
14681088029
14408755377
14141956865
13880570262
13624476257
13373558376
13127702911
12886798854
12650737823
12419413998
12192724054
11970567102
11752844621
11539460405
11330320499
11125333147
10924408733
1072745973
10534400646
10345147975
10159620146
09977737475
0979942212
09624598031
09453190911
09285128169
0912033888
08958753741
08800305035
0864492659
0849255374
08343123292
08196573485
0805284396
07911875721
07773611107
07637993755
07504968573
07374481705
07246480503
071209135
06997730378
06876881942
06758320095
06641997808
06527869097
06415888997
06306013539
06198199726
06092405508
05988589762
0588671227
05786733694
05688615561
05592320238
05497810915
05405051585
05314007022
05224642769
05136925114
05050821079
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
POLYTEC results
vo [ms] 140 Regn intensitet 325 mmh droplet volume 00000000042
vi [ms] 110 droplet speed 6 ms droplet size 2 mm 2
r0-ri [m] 0225 mass 00000041888 kg 00000031416
omega [rads] 133 1000 2
rpm 1273 Tid Regnmaeligngde slid [mm] hastighed cinetic energy Hitsm2s failure at failure at power function failure failure at acc impact energy 3
rotor diam 21 [hrs] [min] [sec] [J] hitsm2 hitscm2 hitsm2 hits2 mm circle [Jcm2]
05 300 18000 163 66 131 00360517444 47128 85E+07 85E+03 858E+07 27E+02 31E+02
10 600 36000 325 135 122 00311729767 43823 16E+08 16E+04 168259557551256 50E+02 49E+02
15 900 54000 488 161 119 00294265677 42578 23E+08 23E+04 219739821326208 72E+02 68E+02
20 1200 72000 650 182 116 00280527562 41572 30E+08 30E+04 27418672140055 94E+02 84E+02
25 1500 90000 813 208 112 00263973463 40327 36E+08 36E+04 363370031336381 11E+03 96E+02
30 1800 108000 975 228 110 00251582091 39369 43E+08 43E+04 453968838852237 13E+03 11E+03
c= 17872
325 100 10 m= 463
percent of time hours pr year rain intensity rain rate fall speed droplet size droplet size rain relative volume 1 droplet volume dropletsm3 density mass blade tip speed cinetic energy hitsm2s hitsm2hr hitscm2s hitscm2hr power function impacts to failure hours to failure mm to failure fraction of life spent pr year fraction of life spent pr year reduced production
[hrsyear] [mmhr] ms ms [mm] m [-] [m3] [kgm3] kg [ms] [m-2hr-1] [cm-2s-1] [cm-2hr-1] [m-2] [hrs] []
002 1752 20 00000055556 6 25 00025 00000009259 00000000082 113 1000 00000081812 700 00200440156 7922 285E+07 07922379389 2852 130E+09 456E+01 912 0038 384 00000888889
01 876 10 00000027778 6 2 0002 0000000463 00000000042 111 1000 00000041888 800 00134041287 8842 318E+07 08841941283 3183 838E+09 263E+02 2632 0033 333 00001111111
1 876 5 00000013889 6 15 00015 00000002315 00000000018 131 1000 00000017671 900 00071569408 11789 424E+07 11789255044 4244 153E+11 361E+03 18029 0024 243 0
3 2628 2 00000005556 6 1 0001 00000000926 00000000005 177 1000 00000005236 900 0002120575 15915 573E+07 15915494309 5730 427E+13 746E+05 1491421 0000 004 0
5 438 1 00000002778 6 05 00005 00000000463 00000000001 707 1000 00000000654 900 00002650719 63662 229E+08 63661977237 22918 649E+17 283E+09 2830197826 0000 000 0
2 0002 1000 800 00134041287 sum fraction 0096 9637
rpm ms D rotor lifetime years 10377 10377
SWP 23-106 16 904778684234 108
6 339292006588 108
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
Page 2: On leading edge erosion at turbine blades due to heavy

DTU Wind Energy1 May 2019

On leading edge erosion at turbine blades due to heavy rain and the application of erosion safe mode control to extend life

Charlotte Hasager Jakob I Bech Christian Bak

DTU Wind Energy Risoslash Campus Roskilde Denmark

DTU Wind Energy1 May 2019

Motivation

3

Unforeseen repair cost at several offshore wind farms motivated the research project

DTU Wind Energy1 May 2019

Working hypothesis

4

DTU Wind Energy1 May 2019 5

DTU Wind Energy1 May 2019

Simulated power curves for the Vestas V52 for different leading edge roughness levels

6

0

100

200

300

400

500

600

700

800

900

3 5 7 9 11 13

Elec

trica

l pow

er [k

W]

Wind speed [ms]

Clean 20 of full LER 40 of full LER

60 of full LER 80 of full LER Full LER Bech et al 2018 WES

LER is leading edge roughness Roughness levels increase for eroded blade

DTU Wind Energy1 May 2019

Rain erosion test example

7

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Rain erosion test data plotted as a Woumlhler curve

8

Bech et al 2018 WES

D is drop sizevt is blade speed

Impacts per unit area to failure as function of the kinetic energy for each impact

DTU Wind Energy1 May 2019

Woumlhler curves for droplet diameters of 15 20 and 25 mm

9

RET is Rain Erosion Test

Bech et al 2018 WES

Chart1

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

life model polytech data

Jakob Ilsted Bechantaget
Jakob Ilsted Bechantaget
Jakob Ilsted Bechcinetic energy with diameter

life model polytech data

kinetic energy [J]
impactsm2
rain impact fatigue

impact fatigue V-N

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

impact fatigue (4)

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

fig 3

Fit
Time to removed coating [hrs]
Local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

fig 4

Fit
Impactsarea to removed coating [cm-2]
Kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig5 v-N

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

ASTM E739 stat (timespeed)

ASTM E739 stat (impactsenergy)

fig accu energ

Fit
accumulated imapct energy [Jcm-2]
kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig

Fit
impacts to erosion [cm-2]
local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

ASTM E739 stat (impactsacc en)

ASTM E739 stat (impactsspeed)

DTU Wind Energy1 May 2019

Extending lifetime

10

DTU Wind Energy1 May 2019

Assumptions

11

Bech et al 2018 WES

Weibull Abull 7 msbull 8 msbull 9 ms

Wind turbine Rain climate Wind climate

Vestas V52 850 kW pitch regulated variable speed and modified rotation speed to make it consistent with larger turbines

The temperate maritime climateof occurences of rain intensity is taken from Jones and Sims 1978

DTU Wind Energy1 May 2019

Control strategies

12

Apart from a reference case where it is assumed that there is no erosion six different control strate

on the model for expected lifetime for the blade leading edge

bull Control strategy 1 with expected life time of 16 years bull Control strategy 2 with expected life time of 104 years bull Control strategy 3 with expected life time of 244 years bull Control strategy 4 with expected life time of 539 years bull Control strategy 5 with expected life time of 1065 years bull Control strategy 6 with expected life time of infinite many years

No reduction (90 ms)

Reduction rdquolightrdquo 80 ms and 70 ms

Reduction rdquosevererdquo 55ms 65ms and 70ms

Idealized

Bech et al 2018 WES

DTU Wind Energy1 May 2019 13

Life time of the blade leading edge with no reduction of the tip speed Control strategy 1

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 90 35 51 10 20 01 88 90 79 11 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 64

Expected life [years] 16

Bech et al 2018 WES

DTU Wind Energy1 May 2019 14

Life time of the blade leading edge with reduction of the tip speed to 70ms and 80msControl strategy 2

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 70 46 38 10 20 01 88 80 263 33 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 96

Expected life [years] 104

Bech et al 2018 WES

DTU Wind Energy1 May 2019 15

Life time of the blade leading edge with reduction of the tip speed to 55ms 65ms and 70msControl strategy 5

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 55 541 03 10 20 01 88 65 2215 04 5 15 1 88 70 47514 02 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 09

Expected life [years] 107

Bech et al 2018 WES

DTU Wind Energy1 May 2019

AEP relative to AEP with no erosion

16

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019 17

bull Energy price o 50 euroMWh o 250 euroMWh

bull Inspection cost o 500 eurorotor o 1500 eurorotor

bull Repair cost o 10000 eurorotor o 20000 eurorotor

Stand still of 1 day inspected

Stand still of 2 days repaired

Cost of operation and maintenance

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Loss of income due to erosion inspection and repair

18

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019

In what geography is leading edge erosion a challenge

19

DTU Wind Energy1 May 2019

Rainfall erosivity (for soils)

20

Rainfall erosivity for soils is modelled as a function of the kinetic energy of rain the maximum intensity of rainfall the cumulative rainfall the soil properties and the slopes of terrain The map on rainfall erosivity in Europe at 500 m spatial resolution assessed by European Soil Data Centre (Panagos et al 2015)

A map for wind turbine blades is in preparation in the EROSION research project

Rainfall erosivity (for wind turbine blades)

DTU Wind Energy1 May 2019

Conclusions

21

A framework for prediction and a mitigation strategy for leading edge erosion was presented

The model takes into account the entire value chain leading edge test data actual on site precipitation erosion rate loss of production due to erosion operation and maintenance

The lost energy production due to occasional tip speed reduction is marginal in proportion to the alternative of lost production due to eroded blades

Thus the cost ndash benefit balance of erosion control looks very promising and shows a great potential for reducing the loss of produced energy due to erosion and the cost of operation and maintenance

To accomplish erosion control there is a need for more knowledge on the correlation between precipitation and erosion for different leading edge structures and materials and for development of methods and equipment for on-site now casting of precipitation

DTU Wind Energy1 May 2019

Reading

22

DTU Wind Energy1 May 2019

Acknowledgements

23

Support from Innovation Fund Denmark is acknowledged

wwwrain-erosiondk

  • Slide Number 1
  • Slide Number 2
  • Motivation
  • Working hypothesis
  • Slide Number 5
  • Simulated power curves for the Vestas V52 for different leading edge roughness levels
  • Rain erosion test example
  • Rain erosion test data plotted as a Woumlhler curve
  • Woumlhler curves for droplet diameters of 15 20 and 25 mm
  • Extending lifetime
  • Assumptions
  • Control strategies
  • Slide Number 13
  • Slide Number 14
  • Slide Number 15
  • AEP relative to AEP with no erosion
  • Cost of operation and maintenance
  • Loss of income due to erosion inspection and repair
  • In what geography is leading edge erosion a challenge
  • Rainfall erosivity (for soils)
  • Conclusions
  • Reading
  • Acknowledgements
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 84830 2118 3929 4486 15433 83204033354 SUMX 12432 2118 39329 20398 00719 46563 45844 47282 4531984 1096 38407 1096 53477 1096
122000 157762 2086 4198 4353 17623 87585455209 SUMY 26153 2086 42253 20407 00707 46484 45777 47191 4450115 1098 37815 1098 52370 1098 Regression Statistics
118533 229919 2074 4362 4301 19023 90452114031 SUMXX 25762 2074 43412 20415 00696 46405 45709 47100 4369882 1100 37232 1100 51289 1100 Multiple R 08824404681
115733 299317 2063 4476 4258 20036 92363123663 SUMYY 114332 2063 44373 20424 00684 46326 45642 47010 4291248 1102 36657 1102 50235 1102 R Square 07787011797
112267 362940 2050 4560 4204 20792 93488041277 SUMXY 54151 2050 45596 20432 00673 46247 45574 46920 4214179 1105 36092 1105 49205 1105 Adjusted R Square 07510388271
109600 425182 2040 4629 4161 21424 94414167683 SAKX 00039016342 2040 46563 20441 00662 46169 45507 46831 4138641 1107 35535 1107 48201 1107 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 235430 20449 00651 46090 45439 46741 4064600 1109 34987 1109 47220 1109 Observations 10
SAPXY -00361255109 0000 235430 20458 00640 46012 45372 46652 3992024 1111 34447 1111 46263 1111
XMEAN 20719423346 0000 235430 20466 00630 45934 45304 46564 3920881 1113 33915 1113 45329 1113 ANOVA
YMEAN 4359 0000 235430 20474 00620 45856 45236 46475 3851140 1115 33391 1115 44417 1115 df SS MS F Significance F
A1 -92590717384 -92591 -01080 0000 235430 20483 00609 45778 45169 46388 3782770 1118 32875 1118 43527 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 23543 3491729856497833400000000 1031E-218 0000 235430 20491 00600 45700 45101 46300 3715744 1120 32366 1120 42658 1120 Residual 8 1901803363282 23772542041
R2 0990 (X=349172985649783000000000Y^-009) 0000 235430 20500 00590 45623 45033 46213 3650030 1122 31864 1122 41811 1122 Total 9 8593825130074
T-VALUE 2776 0000 235430 20508 00580 45546 44965 46126 3585602 1124 31370 1124 40983 1124
F-VALUE 6940 0000 235430 20516 00571 45468 44897 46040 3522431 1126 30883 1126 40176 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 1305806455 -79532652834 -105648781934 0000 235430 20525 00562 45391 44829 45954 3460491 1128 30403 1128 39388 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 23510 23576 0000 235430 20533 00554 45314 44761 45868 3399756 1131 29929 1131 38619 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 235430 20541 00545 45238 44693 45783 3340200 1133 29462 1133 37869 1133
Xmax 1312 20549 00537 45161 44624 45698 3281797 1135 29001 1135 37137 1135
Variansanalysetabel 20558 00529 45085 44556 45614 3224524 1137 28547 1137 36423 1137
SAK f S2 F 20566 00521 45008 44487 45530 3168356 1139 28099 1139 35726 1139 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 20574 00514 44932 44418 45446 3113270 1141 27657 1141 35046 1141
Residual 0003 4 0001 20582 00507 44856 44349 45363 3059243 1144 27220 1144 34382 1144 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 20591 00501 44780 44280 45281 3006253 1146 26790 1146 33735 1146 1 649620085731 04744116959 01032033599
20599 00494 44705 44210 45199 2954278 1148 26365 1148 33104 1148 2 847353753756 81224337994 17669515023
20607 00488 44629 44141 45117 2903297 1150 25945 1150 32488 1150 3 723989604863 -37728515527 -08207448511
20615 00483 44553 44071 45036 2853289 1152 25531 1152 31888 1152 4 839679896083 35389412933 07698600923
N = 3492E+23 S^ -926 20623 00478 44478 44001 44956 2804234 1154 25122 1154 31302 1154 5 802495136516 -30746271321 -06688533467
20631 00473 44403 43930 44876 2756111 1156 24719 1156 30730 1156 6 781834750473 -45407034997 -0987783104
20639 00468 44328 43860 44796 2708902 1159 24320 1159 30173 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 44253 43789 44717 2662587 1161 23927 1161 29630 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 44178 43718 44639 2617147 1163 23538 1163 29100 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 44104 43646 44561 2572566 1165 23154 1165 28583 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 44029 43575 44484 2528824 1167 22775 1167 28079 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 43955 43503 44407 2485905 1169 22401 1169 27587 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 43881 43430 44331 2443791 1172 22031 1172 27107 1172
6 24469 514 20696 00449 43807 43358 44255 2402467 1174 21666 1174 26640 1174
7 23646 474 20704 00448 43733 43285 44180 2361915 1176 21306 1176 26184 1176
8 2306 446 20712 00447 43659 43212 44106 2322120 1178 20950 1178 25739 1178
9 22622 426 20720 00447 43585 43138 44032 2283067 1180 20599 1180 25305 1180
10 22281 41 20728 00447 43512 43065 43959 2244741 1182 20252 1182 24881 1182
11 2201 398 20736 00448 43438 42991 43886 2207126 1185 19909 1185 24468 1185
12 21788 289 20743 00449 43365 42916 43814 2170208 1187 19571 1187 24065 1187
13 21604 381 20751 00450 43292 42842 43742 2133973 1189 19238 1189 23671 1189
14 21448 374 20759 00452 43219 42767 43671 2098407 1191 18909 1191 23287 1191
15 21315 368 20767 00455 43146 42691 43601 2063496 1193 18584 1193 22912 1193
16 21199 363 20775 00457 43073 42616 43531 2029229 1195 18264 1195 22546 1195
17 21098 359 20783 00460 43001 42540 43461 1995590 1198 17949 1198 22188 1198
18 21009 355 20791 00464 42928 42464 43392 1962568 1200 17637 1200 21838 1200
19 2093 352 20798 00468 42856 42388 43324 1930151 1202 17331 1202 21497 1202
20 2086 349 20806 00472 42784 42312 43256 1898326 1204 17028 1204 21163 1204
21 20796 347 20814 00477 42712 42235 43188 1867081 1206 16730 1206 20836 1206
22 20739 344 20822 00482 42640 42158 43121 1836405 1208 16437 1208 20517 1208
23 2069 342 20830 00487 42568 42081 43055 1806286 1210 16148 1210 20205 1210
24 2064 34 20837 00492 42496 42004 42988 1776714 1213 15863 1213 19900 1213
25 206 339 20845 00498 42425 41927 42923 1747678 1215 15583 1215 19601 1215
26 2056 337 20853 00504 42353 41849 42857 1719166 1217 15307 1217 19308 1217
27 2052 335 20860 00511 42282 41771 42792 1691168 1219 15036 1219 19022 1219
28 2048 334 20868 00517 42211 41693 42728 1663675 1221 14769 1221 18741 1221
29 2045 333 20876 00524 42140 41615 42664 1636677 1223 14506 1223 18466 1223
30 2042 332 20883 00531 42069 41537 42600 1610163 1226 14247 1226 18197 1226
31 2021 323 20891 00539 41998 41459 42537 1584124 1228 13993 1228 17933 1228
40 2021 323 20899 00546 41927 41381 42473 1558550 1230 13743 1230 17675 1230
41 2 315 20906 00554 41857 41303 42411 1533434 1232 13498 1232 17421 1232
60 2 315 20914 00562 41786 41224 42348 1508765 1234 13256 1234 17172 1234
61 198 307 20922 00570 41716 41146 42286 1484535 1236 13019 1236 16928 1236
120 198 307 20929 00579 41646 41067 42224 1460735 1239 12785 1239 16689 1239
121 196 3 20937 00587 41576 40989 42163 1437358 1241 12556 1241 16454 1241
20944 00596 41506 40910 42101 1414394 1243 12331 1243 16223 1243
20952 00605 41436 40831 42040 1391836 1245 12110 1245 15997 1245
20959 00614 41366 40753 41980 1369676 1247 11892 1247 15775 1247
20967 00623 41297 40674 41919 1347906 1249 11679 1249 15557 1249
20974 00632 41227 40595 41859 1326519 1252 11469 1252 15343 1252
20982 00641 41158 40517 41799 1305508 1254 11263 1254 15132 1254
20989 00651 41089 40438 41739 1284864 1256 11061 1256 14925 1256
20997 00660 41019 40359 41680 1264582 1258 10862 1258 14722 1258
21004 00670 40950 40281 41620 1244654 1260 10667 1260 14522 1260
21012 00680 40882 40202 41561 1225073 1262 10476 1262 14326 1262
21019 00690 40813 40123 41502 1205832 1264 10288 1264 14133 1264
21027 00699 40744 40045 41444 1186927 1267 10104 1267 13943 1267
21034 00709 40676 39966 41385 1168348 1269 9923 1269 13757 1269
21041 00720 40607 39888 41327 1150092 1271 9745 1271 13573 1271
21049 00730 40539 39809 41269 1132151 1273 9570 1273 13393 1273
21056 00740 40471 39731 41211 1114520 1275 9399 1275 13216 1275
21063 00750 40403 39653 41153 1097192 1277 9231 1277 13041 1277
21071 00761 40335 39574 41096 1080163 1280 9066 1280 12869 1280
21078 00771 40267 39496 41038 1063425 1282 8904 1282 12700 1282
21085 00782 40199 39418 40981 1046975 1284 8745 1284 12534 1284
21093 00792 40132 39340 40924 1030806 1286 8589 1286 12370 1286
21100 00803 40064 39262 40867 1014914 1288 8436 1288 12209 1288
21107 00813 39997 39184 40810 999292 1290 8286 1290 12051 1290
21115 00824 39930 39106 40754 983936 1293 8139 1293 11895 1293
21122 00835 39863 39028 40697 968842 1295 7994 1295 11741 1295
21129 00845 39795 38950 40641 954003 1297 7853 1297 11590 1297
21136 00856 39729 38872 40585 939416 1299 7713 1299 11441 1299
21143 00867 39662 38795 40529 925076 1301 7577 1301 11295 1301
21151 00878 39595 38717 40473 910978 1303 7443 1303 11150 1303
21158 00889 39528 38640 40417 897117 1306 7311 1306 11008 1306
21165 00900 39462 38562 40362 883490 1308 7182 1308 10868 1308
21172 00911 39396 38485 40306 870092 1310 7055 1310 10730 1310
21179 00921 39329 38408 40251 856918 1312 6931 1312 10595 1312
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 3058 -1443 2485 2082 6178 -35867216599 SUMX -9210 -1443 24899 -15993 00719 30570 29851 31288 114017 00 966 00 1345 00
0031 4918 -1506 2692 2269 7246 -40544199354 SUMY 16942 -1506 27191 -15974 00706 30502 29796 31208 112243 00 954 00 1321 00 Regression Statistics
0029 6766 -1531 2830 2345 8011 -433394905 SUMXX 14154 -1531 28099 -15956 00693 30434 29740 31127 110504 00 942 00 1296 00 Multiple R 08824404681
0028 8397 -1552 2924 2409 8550 -45382863655 SUMYY 48049 -1552 28853 -15937 00681 30366 29685 31047 108799 00 930 00 1273 00 R Square 07787011797
0026 9581 -1578 2981 2491 8889 -47059517004 SUMXY -26064 -1578 29812 -15919 00669 30299 29630 30968 107127 00 918 00 1250 00 Adjusted R Square 07510388271
0025 10697 -1599 3029 2558 9176 -48447490003 SAKX 00156065368 -1599 30570 -15900 00657 30232 29575 30889 105489 00 907 00 1227 00 Standard Error 48757093885
SAKY (SAKtotal) 021 0000 -27478 -15882 00645 30165 29520 30811 103882 00 895 00 1205 00 Observations 10
SAPXY -0056644485 0000 -27478 -15864 00634 30099 29465 30733 102306 00 884 00 1184 00
XMEAN -15350567173 0000 -27478 -15845 00623 30033 29410 30655 100760 00 873 00 1163 00 ANOVA
YMEAN 2824 0000 -27478 -15827 00612 29967 29356 30579 99245 00 862 00 1143 00 df SS MS F Significance F
A1 -36295358692 -36295 -02755 0000 -27478 -15809 00601 29902 29301 30502 97758 00 851 00 1123 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 9404E+09 0000 -27478 -15791 00590 29836 29246 30427 96299 00 841 00 1103 00 Residual 8 1901803363282 23772542041
R2 0983 (X=00Y^-004) 0000 -27478 -15773 00580 29771 29191 30352 94868 00 830 00 1084 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 29706 29136 30277 93464 00 820 00 1066 00
F-VALUE 6940 0000 -27478 -15738 00561 29642 29081 30203 92087 00 809 00 1048 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -29766326417 -42824390967 0000 -27478 -15720 00552 29578 29026 30129 90735 00 799 00 1030 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 29514 28971 30057 89409 00 789 00 1013 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 29450 28916 29984 88107 00 779 00 996 00
Xmax 00360517444 -15667 00526 29387 28861 29913 86829 00 769 00 980 00
Variansanalysetabel -15650 00518 29323 28805 29842 85575 00 760 00 964 00
SAK f S2 F -15633 00511 29261 28750 29771 84343 00 750 00 949 00 RESIDUAL OUTPUT
Regress 02055931902 1 0206 23821 -15615 00503 29198 28694 29701 83135 00 740 00 934 00
Residual 0003 4 0001 -15598 00497 29135 28639 29632 81948 00 731 00 919 00 Observation Predicted Y Residuals Standard Residuals
Total 0209 5 -15581 00490 29073 28583 29563 80783 00 722 00 904 00 1 649620085731 04744116959 01032033599
-15564 00484 29011 28527 29496 79639 00 712 00 890 00 2 847353753756 81224337994 17669515023
-15547 00479 28950 28471 29428 78515 00 703 00 877 00 3 723989604863 -37728515527 -08207448511
-15530 00474 28888 28414 29362 77412 00 694 00 863 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -363 -15513 00469 28827 28358 29296 76328 00 685 00 850 00 5 802495136516 -30746271321 -06688533467
-15496 00465 28766 28301 29231 75264 00 676 00 838 00 6 781834750473 -45407034997 -0987783104
-15479 00461 28705 28244 29166 74218 00 667 00 825 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 28645 28187 29102 73191 00 659 00 813 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 28584 28130 29039 72182 00 650 00 801 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 28524 28072 28976 71190 00 642 00 790 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 28464 28014 28915 70216 00 633 00 779 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 28405 27956 28853 69259 00 625 00 768 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 28345 27898 28793 68319 00 616 00 757 00
6 24469 514 -15364 00447 28286 27839 28733 67394 00 608 00 747 00
7 23646 474 -15348 00447 28227 27780 28674 66486 00 600 00 737 00
8 2306 446 -15332 00447 28169 27721 28616 65593 00 592 00 727 00
9 22622 426 -15316 00448 28110 27662 28558 64715 00 584 00 717 00
10 22281 41 -15299 00449 28052 27603 28501 63853 00 576 00 708 00
11 2201 398 -15283 00451 27994 27543 28444 63005 00 568 00 699 00
12 21788 289 -15268 00453 27936 27483 28389 62171 00 560 00 690 00
13 21604 381 -15252 00455 27878 27423 28333 61351 00 552 00 681 00
14 21448 374 -15236 00458 27821 27363 28279 60545 00 545 00 673 00
15 21315 368 -15220 00461 27764 27302 28225 59752 00 537 00 664 00
16 21199 363 -15204 00465 27707 27242 28171 58973 00 530 00 656 00
17 21098 359 -15189 00469 27650 27181 28119 58207 00 523 00 648 00
18 21009 355 -15173 00473 27593 27120 28066 57453 00 515 00 641 00
19 2093 352 -15158 00478 27537 27059 28014 56711 00 508 00 633 00
20 2086 349 -15142 00483 27480 26998 27963 55982 00 501 00 626 00
21 20796 347 -15127 00488 27424 26936 27912 55265 00 494 00 618 00
22 20739 344 -15111 00494 27369 26875 27862 54559 00 487 00 611 00
23 2069 342 -15096 00499 27313 26814 27812 53865 00 480 00 604 00
24 2064 34 -15081 00506 27258 26752 27763 53182 00 473 00 597 00
25 206 339 -15065 00512 27202 26691 27714 52510 00 467 00 591 00
26 2056 337 -15050 00519 27147 26629 27666 51849 00 460 00 584 00
27 2052 335 -15035 00525 27093 26567 27618 51198 00 454 00 578 00
28 2048 334 -15020 00532 27038 26506 27570 50558 00 447 00 572 00
29 2045 333 -15005 00540 26983 26444 27523 49928 00 441 00 565 00
30 2042 332 -14990 00547 26929 26382 27476 49308 00 435 00 559 00
31 2021 323 -14975 00555 26875 26320 27430 48698 00 429 00 553 00
40 2021 323 -14960 00563 26821 26259 27384 48097 00 423 00 547 00
41 2 315 -14946 00571 26767 26197 27338 47506 00 417 00 542 00
60 2 315 -14931 00579 26714 26135 27293 46924 00 411 00 536 00
61 198 307 -14916 00587 26661 26074 27248 46351 00 405 00 531 00
120 198 307 -14902 00595 26607 26012 27203 45787 00 399 00 525 00
121 196 3 -14887 00604 26554 25951 27158 45232 00 394 00 520 00
-14872 00613 26502 25889 27114 44685 00 388 00 515 00
-14858 00621 26449 25828 27070 44147 00 383 00 509 00
-14843 00630 26397 25766 27027 43617 00 377 00 504 00
-14829 00639 26344 25705 26983 43095 00 372 00 499 00
-14815 00648 26292 25644 26940 42580 00 367 00 494 00
-14800 00657 26240 25583 26897 42074 00 362 00 489 00
-14786 00667 26188 25522 26855 41576 00 357 00 485 00
-14772 00676 26137 25461 26813 41084 00 352 00 480 00
-14758 00685 26085 25400 26771 40601 00 347 00 475 00
-14744 00695 26034 25339 26729 40124 00 342 00 471 00
-14729 00704 25983 25279 26687 39655 00 337 00 466 00
-14715 00714 25932 25218 26646 39192 00 333 00 462 00
-14701 00723 25881 25158 26604 38737 00 328 00 458 00
-14688 00733 25831 25098 26564 38288 00 323 00 453 00
-14674 00743 25780 25038 26523 37846 00 319 00 449 00
-14660 00752 25730 24978 26482 37410 00 315 00 445 00
-14646 00762 25680 24918 26442 36981 00 310 00 441 00
-14632 00772 25630 24858 26402 36558 00 306 00 437 00
-14618 00782 25580 24798 26362 36141 00 302 00 433 00
-14605 00792 25530 24739 26322 35730 00 298 00 429 00
-14591 00801 25481 24679 26282 35325 00 294 00 425 00
-14578 00811 25431 24620 26243 34926 00 290 00 421 00
-14564 00821 25382 24561 26204 34533 00 286 00 417 00
-14550 00831 25333 24502 26165 34145 00 282 00 413 00
-14537 00841 25284 24443 26126 33763 00 278 00 410 00
-14524 00851 25236 24384 26087 33386 00 274 00 406 00
-14510 00861 25187 24326 26048 33015 00 271 00 403 00
-14497 00871 25139 24267 26010 32648 00 267 00 399 00
-14484 00881 25090 24209 25972 32287 00 264 00 396 00
-14470 00891 25042 24151 25934 31932 00 260 00 392 00
-14457 00901 24994 24093 25896 31581 00 257 00 389 00
-14444 00911 24946 24035 25858 31235 00 253 00 385 00
-14431 00921 24899 23977 25820 30893 00 250 00 382 00
8482958466798 453198415510438
157762337339841 445011526968153
229919209664129 436988185343382
299317396308158 429124812025937
362939584809143 42141791349927
425182430469998 413864079156283
406459979175265
399202362454331
392088054602438
385113955985505
378277039825948
371574350354031
3650030010096
358560172692686
352243112061582
346049129876992
339975599390947
334019954779185
328179689615728
322452355388469
316835560054579
311326966634576
305924291843988
300625304761508
295427825532595
290329724107552
28532891901306
280423376156244
275611107660335
270890170731068
266258666552894
261714739214239
257256574660917
252882399676985
248590480892212
244379123815443
240246671893146
23619150559242
232212041507809
22830673149124
224474061804437
220712552293262
217020755583252
213397256295896
209840670285
206349643892635
202922853224091
199559003441363
196256828074617
193015088351196
189832572541652
186708095322343
183640497154179
180628643677042
177671425119486
174767755723285
171916573182442
16911683809627
166367533436157
16366766402567
161016256033615
158412356479738
155855032752697
153343372140009
150876481369642
148453486162936
146073530798571
143735777687276
141439406957002
139183616048281
136967619319522
134790647661941
132651948123926
130550783544548
128486432196003
126458187434752
12446535736111
122507264487102
120583245412343
118692650507738
116834843606817
115009201704496
113215114663065
111451984925241
10971922723408
10801626835959
106342546831866
10469751268058
103080627180672
101491362604075
99929201977326
98393638844908
96884177038201
95400330449854
93941622813496
92507587488613
91097767250473
89711714084978
88348988988316
87009161771285
85691810868186
3058254506667 11401660489024
4917921666667 11224254241385
6765733182963 11050353869471
8396677941728 10879875483775
9580641906173 10712737548677
1069682848 10548860806755
1038816820583
10230584828653
10076037825111
9924456346858
9775771484275
9629916205667
9486825298608
934643531335
9208684508213
9073512796881
8940861697535
8810674283738
8682895137025
8557470301108
8434347237659
8313474783592
8194803109801
8078283681286
796386921863
7851513660757
7741172128948
7632800892042
7526357332798
7421799915369
7319088153841
7218182581804
7119044722924
7021637062462
6925923019723
6831866921392
6739433975727
6648590247583
6559302634229
6471538841935
6385267363303
6300457455314
6217079118063
6135103074163
6054500748792
597524425036
5897306351775
5820660472292
5745280659917
5671141574349
559821847045
5526487182213
5455924107218
5386506191562
5318210915236
5251016277946
5184900785361
5119843435765
5055823707109
4992821544449
4930817347748
4869791960047
4809726655972
4750603130585
4692403488555
4635110233648
4578706258517
4523174834784
4468499603418
4414664565374
4361654072513
4309452818768
4258045831573
420741846352
4157556384267
410844557266
4060072309079
4012423168008
3965485010793
3919244978615
3873690485654
3828809212438
3784589099379
3741018340481
3698085377224
3655778892613
3614087805387
3573001264389
3532508643077
34925995342
3453263744596
3414491290147
3376272390858
3338597466066
3301457129784
326484218616
3228743625054
3193152617745
3158060512727
312345883164
3089339265284
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 84830 -1443 3929 2082 15433 -56691834105 SUMX -9210 -1443 39329 -15993 00719 46563 45844 47282 4531984 00 38407 00 53477 00
0031 157762 -1506 4198 2269 17623 -63231238203 SUMY 26153 -1506 42253 -15974 00706 46476 45770 47182 4442233 00 37758 00 52264 00 Regression Statistics
0029 229919 -1531 4362 2345 19023 -66787074357 SUMXX 14154 -1531 43412 -15956 00693 46390 45696 47083 4354634 00 37120 00 51085 00 Multiple R 08824404681
0028 299317 -1552 4476 2409 20036 -69470662987 SUMYY 114332 -1552 44373 -15937 00681 46303 45622 46984 4269127 00 36495 00 49939 00 R Square 07787011797
0026 362940 -1578 4560 2491 20792 -71974236821 SUMXY -40218 -1578 45596 -15919 00669 46218 45549 46886 4185652 00 35882 00 48826 00 Adjusted R Square 07510388271
0025 425182 -1599 4629 2558 21424 -74025743521 SAKX 00156065368 -1599 46563 -15900 00657 46132 45475 46789 4104154 00 35280 00 47743 00 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 -27478 -15882 00645 46047 45402 46692 4024578 00 34690 00 46692 00 Observations 10
SAPXY -00722510218 0000 -27478 -15864 00634 45963 45329 46596 3946870 00 34110 00 45670 00
XMEAN -15350567173 0000 -27478 -15845 00623 45878 45256 46501 3870979 00 33540 00 44676 00 ANOVA
YMEAN 4359 0000 -27478 -15827 00612 45794 45183 46406 3796854 00 32981 00 43710 00 df SS MS F Significance F
A1 -46295358692 -46295 -02160 0000 -27478 -15809 00601 45711 45110 46311 3724449 00 32432 00 42771 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 5262E+12 0000 -27478 -15791 00590 45627 45037 46218 3653716 00 31893 00 41858 00 Residual 8 1901803363282 23772542041
R2 0990 (X=00Y^-005) 0000 -27478 -15773 00580 45544 44964 46125 3584610 00 31362 00 40971 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 45462 44891 46032 3517086 00 30842 00 40108 00
F-VALUE 6940 0000 -27478 -15738 00561 45380 44819 45941 3451104 00 30330 00 39269 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -39766326417 -52824390967 0000 -27478 -15720 00552 45298 44746 45849 3386620 00 29826 00 38453 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 45216 44673 45759 3323595 00 29331 00 37660 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 45135 44601 45669 3261991 00 28844 00 36889 00
Xmax 00360517444 -15667 00526 45054 44528 45580 3201770 00 28366 00 36140 00
Variansanalysetabel -15650 00518 44973 44455 45491 3142896 00 27895 00 35411 00
SAK f S2 F -15633 00511 44893 44382 45404 3085332 00 27431 00 34702 00 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 -15615 00503 44813 44310 45316 3029046 00 26975 00 34013 00
Residual 0003 4 0001 -15598 00497 44733 44237 45230 2974003 00 26526 00 33343 00 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 -15581 00490 44654 44164 45144 2920172 00 26084 00 32692 00 1 649620085731 04744116959 01032033599
-15564 00484 44575 44091 45059 2867521 00 25649 00 32058 00 2 847353753756 81224337994 17669515023
-15547 00479 44496 44018 44975 2816020 00 25221 00 31442 00 3 723989604863 -37728515527 -08207448511
-15530 00474 44418 43944 44892 2765640 00 24799 00 30843 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -463 -15513 00469 44340 43871 44809 2716351 00 24383 00 30261 00 5 802495136516 -30746271321 -06688533467
-15496 00465 44262 43797 44727 2668126 00 23974 00 29694 00 6 781834750473 -45407034997 -0987783104
-15479 00461 44185 43724 44645 2620939 00 23571 00 29144 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 44107 43650 44565 2574762 00 23173 00 28608 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 44030 43576 44485 2529571 00 22782 00 28087 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 43954 43502 44406 2485341 00 22396 00 27581 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 43878 43427 44328 2442047 00 22016 00 27088 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 43802 43353 44250 2399668 00 21641 00 26608 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 43726 43278 44173 2358179 00 21272 00 26142 00
6 24469 514 -15364 00447 43650 43203 44097 2317559 00 20909 00 25688 00
7 23646 474 -15348 00447 43575 43128 44022 2277787 00 20551 00 25246 00
8 2306 446 -15332 00447 43500 43053 43947 2238842 00 20198 00 24816 00
9 22622 426 -15316 00448 43426 42978 43873 2200703 00 19851 00 24398 00
10 22281 41 -15299 00449 43351 42902 43800 2163352 00 19508 00 23990 00
11 2201 398 -15283 00451 43277 42827 43728 2126768 00 19171 00 23593 00
12 21788 289 -15268 00453 43203 42751 43656 2090935 00 18840 00 23207 00
13 21604 381 -15252 00455 43130 42675 43585 2055832 00 18513 00 22830 00
14 21448 374 -15236 00458 43057 42599 43515 2021444 00 18191 00 22463 00
15 21315 368 -15220 00461 42984 42522 43445 1987753 00 17875 00 22105 00
16 21199 363 -15204 00465 42911 42446 43376 1954742 00 17563 00 21756 00
17 21098 359 -15189 00469 42838 42370 43307 1922395 00 17257 00 21415 00
18 21009 355 -15173 00473 42766 42293 43239 1890697 00 16956 00 21083 00
19 2093 352 -15158 00478 42694 42217 43172 1859632 00 16659 00 20759 00
20 2086 349 -15142 00483 42623 42140 43105 1829186 00 16368 00 20442 00
21 20796 347 -15127 00488 42551 42063 43039 1799343 00 16081 00 20133 00
22 20739 344 -15111 00494 42480 41986 42974 1770091 00 15799 00 19831 00
23 2069 342 -15096 00499 42409 41910 42908 1741415 00 15522 00 19536 00
24 2064 34 -15081 00506 42338 41833 42844 1713302 00 15250 00 19248 00
25 206 339 -15065 00512 42268 41756 42780 1685738 00 14983 00 18966 00
26 2056 337 -15050 00519 42198 41679 42716 1658712 00 14720 00 18691 00
27 2052 335 -15035 00525 42128 41602 42653 1632212 00 14462 00 18421 00
28 2048 334 -15020 00532 42058 41526 42590 1606224 00 14209 00 18157 00
29 2045 333 -15005 00540 41989 41449 42528 1580737 00 13960 00 17899 00
30 2042 332 -14990 00547 41919 41372 42466 1555741 00 13716 00 17646 00
31 2021 323 -14975 00555 41850 41296 42405 1531224 00 13476 00 17399 00
40 2021 323 -14960 00563 41782 41219 42344 1507175 00 13241 00 17156 00
41 2 315 -14946 00571 41713 41143 42284 1483584 00 13009 00 16919 00
60 2 315 -14931 00579 41645 41066 42224 1460440 00 12783 00 16686 00
61 198 307 -14916 00587 41577 40990 42164 1437734 00 12560 00 16458 00
120 198 307 -14902 00595 41509 40914 42104 1415455 00 12341 00 16234 00
121 196 3 -14887 00604 41441 40838 42045 1393595 00 12127 00 16015 00
-14872 00613 41374 40761 41987 1372144 00 11916 00 15800 00
-14858 00621 41307 40686 41928 1351094 00 11710 00 15589 00
-14843 00630 41240 40610 41870 1330434 00 11507 00 15382 00
-14829 00639 41173 40534 41812 1310158 00 11309 00 15179 00
-14815 00648 41107 40459 41755 1290256 00 11114 00 14979 00
-14800 00657 41041 40383 41698 1270721 00 10922 00 14784 00
-14786 00667 40974 40308 41641 1251544 00 10735 00 14591 00
-14772 00676 40909 40233 41584 1232718 00 10551 00 14403 00
-14758 00685 40843 40158 41528 1214235 00 10370 00 14217 00
-14744 00695 40778 40083 41472 1196088 00 10193 00 14035 00
-14729 00704 40712 40008 41417 1178269 00 10019 00 13857 00
-14715 00714 40647 39934 41361 1160773 00 9849 00 13681 00
-14701 00723 40583 39859 41306 1143591 00 9682 00 13508 00
-14688 00733 40518 39785 41251 1126718 00 9518 00 13338 00
-14674 00743 40454 39711 41196 1110146 00 9357 00 13172 00
-14660 00752 40390 39637 41142 1093870 00 9199 00 13008 00
-14646 00762 40326 39564 41088 1077883 00 9044 00 12846 00
-14632 00772 40262 39490 41034 1062179 00 8892 00 12688 00
-14618 00782 40198 39417 40980 1046753 00 8743 00 12532 00
-14605 00792 40135 39344 40927 1031598 00 8597 00 12378 00
-14591 00801 40072 39271 40873 1016710 00 8454 00 12228 00
-14578 00811 40009 39198 40820 1002081 00 8313 00 12079 00
-14564 00821 39946 39125 40768 987708 00 8175 00 11933 00
-14550 00831 39884 39052 40715 973585 00 8040 00 11790 00
-14537 00841 39821 38980 40663 959706 00 7907 00 11648 00
-14524 00851 39759 38908 40610 946068 00 7777 00 11509 00
-14510 00861 39697 38836 40558 932664 00 7649 00 11372 00
-14497 00871 39635 38764 40507 919491 00 7524 00 11238 00
-14484 00881 39574 38693 40455 906543 00 7400 00 11105 00
-14470 00891 39512 38621 40404 893816 00 7280 00 10974 00
-14457 00901 39451 38550 40353 881306 00 7161 00 10846 00
-14444 00911 39390 38479 40302 869008 00 7045 00 10719 00
-14431 00921 39329 38408 40251 856918 00 6931 00 10595 00
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 05 2118 -0301 4486 0091 -06375616132 SUMX 12432 2118 -02966 20398 00719 05048 04330 05767 320 1096 3 1096 4 1096
122000 10 2086 0000 4353 0000 0 SUMY 1051 2086 00273 20407 00707 04961 04254 05668 313 1098 3 1098 4 1098 Regression Statistics
118533 15 2074 0176 4301 0031 03651851843 SUMXX 25762 2074 01557 20415 00696 04873 04177 05569 307 1100 3 1100 4 1100 Multiple R 08824404681
115733 20 2063 0301 4258 0091 06211628918 SUMYY 0598 2063 02622 20424 00684 04786 04101 05470 301 1102 3 1102 4 1102 R Square 07787011797
112267 25 2050 0398 4204 0158 08158768323 SUMXY 2138 2050 03977 20432 00673 04698 04025 05371 295 1105 3 1105 3 1105 Adjusted R Square 07510388271
109600 30 2040 0477 4161 0228 0973236971 SAKX 00039016342 2040 05048 20441 00662 04611 03949 05273 289 1107 2 1107 3 1107 Standard Error 48757093885
SAKY (SAKtotal) 041 0000 214314 20449 00651 04525 03873 05176 283 1109 2 1109 3 1109 Observations 10
SAPXY -00400271451 0000 214314 20458 00640 04438 03797 05078 278 1111 2 1111 3 1111
XMEAN 20719423346 0000 214314 20466 00630 04351 03721 04981 272 1113 2 1113 3 1113 ANOVA
YMEAN 0175 0000 214314 20474 00620 04265 03645 04885 267 1115 2 1115 3 1115 df SS MS F Significance F
A1 -102590717384 -102591 -00975 0000 214314 20483 00609 04179 03569 04788 262 1118 2 1118 3 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 21431 27002074746314896000000 1361E-220 0000 214314 20491 00600 04093 03493 04692 257 1120 2 1120 3 1120 Residual 8 1901803363282 23772542041
R2 0992 (X=2700207474631490000000Y^-010) 0000 214314 20500 00590 04007 03417 04597 252 1122 2 1122 3 1122 Total 9 8593825130074
T-VALUE 2776 0000 214314 20508 00580 03921 03341 04502 247 1124 2 1124 3 1124
F-VALUE 6940 0000 214314 20516 00571 03836 03264 04407 242 1126 2 1126 3 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 13058064549 -89532652835 -115648781933 0000 214314 20525 00562 03750 03188 04313 237 1128 2 1128 3 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 21398 21465 0000 214314 20533 00554 03665 03112 04219 233 1131 2 1131 3 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 214314 20541 00545 03580 03035 04125 228 1133 2 1133 3 1133
Xmax 1312 20549 00537 03495 02958 04032 224 1135 2 1135 3 1135
Variansanalysetabel 20558 00529 03410 02881 03940 219 1137 2 1137 2 1137
SAK f S2 F 20566 00521 03326 02804 03847 215 1139 2 1139 2 1139 RESIDUAL OUTPUT
Regress 04106413531 1 0411 47580 20574 00514 03242 02727 03756 211 1141 2 1141 2 1141
Residual 0003 4 0001 20582 00507 03157 02650 03664 207 1144 2 1144 2 1144 Observation Predicted Y Residuals Standard Residuals
Total 0414 5 20591 00501 03073 02573 03574 203 1146 2 1146 2 1146 1 649620085731 04744116959 01032033599
20599 00494 02989 02495 03484 199 1148 2 1148 2 1148 2 847353753756 81224337994 17669515023
20607 00488 02906 02417 03394 195 1150 2 1150 2 1150 3 723989604863 -37728515527 -08207448511
20615 00483 02822 02339 03305 192 1152 2 1152 2 1152 4 839679896083 35389412933 07698600923
N = 2700E+21 S^ -1026 20623 00478 02738 02261 03216 188 1154 2 1154 2 1154 5 802495136516 -30746271321 -06688533467
20631 00473 02655 02182 03128 184 1156 2 1156 2 1156 6 781834750473 -45407034997 -0987783104
20639 00468 02572 02104 03040 181 1159 2 1159 2 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 02489 02025 02953 177 1161 2 1161 2 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 02406 01946 02867 174 1163 2 1163 2 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 02324 01866 02781 171 1165 2 1165 2 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 02241 01786 02696 168 1167 2 1167 2 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 02159 01706 02611 164 1169 1 1169 2 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 02076 01626 02527 161 1172 1 1172 2 1172
6 24469 514 20696 00449 01994 01546 02443 158 1174 1 1174 2 1174
7 23646 474 20704 00448 01912 01465 02360 155 1176 1 1176 2 1176
8 2306 446 20712 00447 01831 01384 02278 152 1178 1 1178 2 1178
9 22622 426 20720 00447 01749 01302 02196 150 1180 1 1180 2 1180
10 22281 41 20728 00447 01668 01221 02115 147 1182 1 1182 2 1182
11 2201 398 20736 00448 01586 01139 02034 144 1185 1 1185 2 1185
12 21788 289 20743 00449 01505 01056 01954 141 1187 1 1187 2 1187
13 21604 381 20751 00450 01424 00974 01874 139 1189 1 1189 2 1189
14 21448 374 20759 00452 01343 00891 01795 136 1191 1 1191 2 1191
15 21315 368 20767 00455 01262 00808 01717 134 1193 1 1193 1 1193
16 21199 363 20775 00457 01182 00725 01639 131 1195 1 1195 1 1195
17 21098 359 20783 00460 01101 00641 01562 129 1198 1 1198 1 1198
18 21009 355 20791 00464 01021 00557 01485 127 1200 1 1200 1 1200
19 2093 352 20798 00468 00941 00473 01409 124 1202 1 1202 1 1202
20 2086 349 20806 00472 00861 00389 01333 122 1204 1 1204 1 1204
21 20796 347 20814 00477 00781 00305 01258 120 1206 1 1206 1 1206
22 20739 344 20822 00482 00701 00220 01183 118 1208 1 1208 1 1208
23 2069 342 20830 00487 00622 00135 01109 115 1210 1 1210 1 1210
24 2064 34 20837 00492 00542 00050 01035 113 1213 1 1213 1 1213
25 206 339 20845 00498 00463 -00035 00961 111 1215 1 1215 1 1215
26 2056 337 20853 00504 00384 -00120 00888 109 1217 1 1217 1 1217
27 2052 335 20860 00511 00305 -00206 00816 107 1219 1 1219 1 1219
28 2048 334 20868 00517 00226 -00291 00743 105 1221 1 1221 1 1221
29 2045 333 20876 00524 00147 -00377 00672 103 1223 1 1223 1 1223
30 2042 332 20883 00531 00069 -00463 00600 102 1226 1 1226 1 1226
31 2021 323 20891 00539 -00010 -00548 00529 100 1228 1 1228 1 1228
40 2021 323 20899 00546 -00088 -00634 00458 098 1230 1 1230 1 1230
41 2 315 20906 00554 -00166 -00720 00388 096 1232 1 1232 1 1232
60 2 315 20914 00562 -00244 -00806 00318 095 1234 1 1234 1 1234
61 198 307 20922 00570 -00322 -00892 00248 093 1236 1 1236 1 1236
120 198 307 20929 00579 -00400 -00978 00179 091 1239 1 1239 1 1239
121 196 3 20937 00587 -00478 -01065 00110 090 1241 1 1241 1 1241
20944 00596 -00555 -01151 00041 088 1243 1 1243 1 1243
20952 00605 -00632 -01237 -00028 086 1245 1 1245 1 1245
20959 00614 -00710 -01323 -00096 085 1247 1 1247 1 1247
20967 00623 -00787 -01409 -00164 083 1249 1 1249 1 1249
20974 00632 -00864 -01496 -00232 082 1252 1 1252 1 1252
20982 00641 -00941 -01582 -00299 081 1254 1 1254 1 1254
20989 00651 -01017 -01668 -00367 079 1256 1 1256 1 1256
20997 00660 -01094 -01754 -00434 078 1258 1 1258 1 1258
21004 00670 -01170 -01840 -00500 076 1260 1 1260 1 1260
21012 00680 -01247 -01926 -00567 075 1262 1 1262 1 1262
21019 00690 -01323 -02012 -00633 074 1264 1 1264 1 1264
21027 00699 -01399 -02098 -00699 072 1267 1 1267 1 1267
21034 00709 -01475 -02184 -00765 071 1269 1 1269 1 1269
21041 00720 -01550 -02270 -00831 070 1271 1 1271 1 1271
21049 00730 -01626 -02356 -00896 069 1273 1 1273 1 1273
21056 00740 -01702 -02442 -00962 068 1275 1 1275 1 1275
21063 00750 -01777 -02527 -01027 066 1277 1 1277 1 1277
21071 00761 -01852 -02613 -01092 065 1280 1 1280 1 1280
21078 00771 -01927 -02699 -01156 064 1282 1 1282 1 1282
21085 00782 -02002 -02784 -01221 063 1284 1 1284 1 1284
21093 00792 -02077 -02869 -01285 062 1286 1 1286 1 1286
21100 00803 -02152 -02955 -01349 061 1288 1 1288 1 1288
21107 00813 -02227 -03040 -01413 060 1290 0 1290 1 1290
21115 00824 -02301 -03125 -01477 059 1293 0 1293 1 1293
21122 00835 -02376 -03210 -01541 058 1295 0 1295 1 1295
21129 00845 -02450 -03295 -01605 057 1297 0 1297 1 1297
21136 00856 -02524 -03380 -01668 056 1299 0 1299 1 1299
21143 00867 -02598 -03465 -01731 055 1301 0 1301 1 1301
21151 00878 -02672 -03550 -01794 054 1303 0 1303 1 1303
21158 00889 -02746 -03634 -01857 053 1306 0 1306 1 1306
21165 00900 -02819 -03719 -01920 052 1308 0 1308 1 1308
21172 00911 -02893 -03803 -01982 051 1310 0 1310 1 1310
21179 00921 -02966 -03888 -02045 051 1312 0 1312 1 1312
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
8482958466798 453198415509923
157762337339841 444223298518267
229919209664129 435463395651789
299317396308158 426912655401948
362939584809143 418565221258607
425182430469998 410415424632938
402457778065734
394686968708487
387097852065186
379685445983355
372444924883448
365371614216194
35846098513798
351708649394869
345110354406237
338661978539499
332359526567722
326199125302371
320177019393754
314289567292081
308533237362397
302904604146922
297400344768675
292017235470486
286752148283813
281602047821987
276563988192795
271635110025519
266812637607734
262093876127455
257476209016332
252957095389845
248534067580594
244204728760957
239966750651574
235817871312228
23175589301187
227778680174694
223884157399223
220070307547618
216335169902413
212676838388095
209093459855011
205583232423197
202144403883818
198775270156044
195474173797216
192239502564294
189069688024643
185963204214298
182918566341916
179934329536705
177009087638707
174141472029822
171330150504106
168573826175856
165871236424115
16322115187225
160622375401323
158073741196027
155574113821997
15312238733337
150717484409499
148358355519769
146043978115519
143773355848089
141545517812079
139359517812904
137214433657812
135109366469516
133043440021664
131015800095362
129025613856046
127072069249961
125154374419592
12327175713739
121423464257146
119608761182432
117826931351499
116077275738105
114359112367685
112671775848397
111014616916491
109387001995557
107788312769166
106217945766462
104675311960271
103159836377317
101670957720132
10020812800029
98770812182574
97358487839736
9597064481748
94606784909365
93266421541272
91949079465149
90654294461729
89381613051922
88130592216609
86900799124579
85691810868326
05 31976750428
1 31337340646
15 30711935499
2 30100201659
25 29501814358
3 28916457161
28343821727
27783607596
27235521965
26699279482
26174602045
25661218598
25158864946
24667283564
24186223417
23715439788
23254694103
22803753765
22362392
21930387691
21507525235
21093594389
20688390133
20291712524
19903366566
19523162079
19150913566
18786440095
18429565175
18080116642
1773792654
17402831016
1707467021
1675328815
16438532653
16130255221
15828310953
15532558443
15242859697
14959080039
14681088029
14408755377
14141956865
13880570262
13624476257
13373558376
13127702911
12886798854
12650737823
12419413998
12192724054
11970567102
11752844621
11539460405
11330320499
11125333147
10924408733
1072745973
10534400646
10345147975
10159620146
09977737475
0979942212
09624598031
09453190911
09285128169
0912033888
08958753741
08800305035
0864492659
0849255374
08343123292
08196573485
0805284396
07911875721
07773611107
07637993755
07504968573
07374481705
07246480503
071209135
06997730378
06876881942
06758320095
06641997808
06527869097
06415888997
06306013539
06198199726
06092405508
05988589762
0588671227
05786733694
05688615561
05592320238
05497810915
05405051585
05314007022
05224642769
05136925114
05050821079
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
POLYTEC results
vo [ms] 140 Regn intensitet 325 mmh droplet volume 00000000042
vi [ms] 110 droplet speed 6 ms droplet size 2 mm 2
r0-ri [m] 0225 mass 00000041888 kg 00000031416
omega [rads] 133 1000 2
rpm 1273 Tid Regnmaeligngde slid [mm] hastighed cinetic energy Hitsm2s failure at failure at power function failure failure at acc impact energy 3
rotor diam 21 [hrs] [min] [sec] [J] hitsm2 hitscm2 hitsm2 hits2 mm circle [Jcm2]
05 300 18000 163 66 131 00360517444 47128 85E+07 85E+03 858E+07 27E+02 31E+02
10 600 36000 325 135 122 00311729767 43823 16E+08 16E+04 168259557551256 50E+02 49E+02
15 900 54000 488 161 119 00294265677 42578 23E+08 23E+04 219739821326208 72E+02 68E+02
20 1200 72000 650 182 116 00280527562 41572 30E+08 30E+04 27418672140055 94E+02 84E+02
25 1500 90000 813 208 112 00263973463 40327 36E+08 36E+04 363370031336381 11E+03 96E+02
30 1800 108000 975 228 110 00251582091 39369 43E+08 43E+04 453968838852237 13E+03 11E+03
c= 17872
325 100 10 m= 463
percent of time hours pr year rain intensity rain rate fall speed droplet size droplet size rain relative volume 1 droplet volume dropletsm3 density mass blade tip speed cinetic energy hitsm2s hitsm2hr hitscm2s hitscm2hr power function impacts to failure hours to failure mm to failure fraction of life spent pr year fraction of life spent pr year reduced production
[hrsyear] [mmhr] ms ms [mm] m [-] [m3] [kgm3] kg [ms] [m-2hr-1] [cm-2s-1] [cm-2hr-1] [m-2] [hrs] []
002 1752 20 00000055556 6 25 00025 00000009259 00000000082 113 1000 00000081812 700 00200440156 7922 285E+07 07922379389 2852 130E+09 456E+01 912 0038 384 00000888889
01 876 10 00000027778 6 2 0002 0000000463 00000000042 111 1000 00000041888 800 00134041287 8842 318E+07 08841941283 3183 838E+09 263E+02 2632 0033 333 00001111111
1 876 5 00000013889 6 15 00015 00000002315 00000000018 131 1000 00000017671 900 00071569408 11789 424E+07 11789255044 4244 153E+11 361E+03 18029 0024 243 0
3 2628 2 00000005556 6 1 0001 00000000926 00000000005 177 1000 00000005236 900 0002120575 15915 573E+07 15915494309 5730 427E+13 746E+05 1491421 0000 004 0
5 438 1 00000002778 6 05 00005 00000000463 00000000001 707 1000 00000000654 900 00002650719 63662 229E+08 63661977237 22918 649E+17 283E+09 2830197826 0000 000 0
2 0002 1000 800 00134041287 sum fraction 0096 9637
rpm ms D rotor lifetime years 10377 10377
SWP 23-106 16 904778684234 108
6 339292006588 108
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
Page 3: On leading edge erosion at turbine blades due to heavy

DTU Wind Energy1 May 2019

Motivation

3

Unforeseen repair cost at several offshore wind farms motivated the research project

DTU Wind Energy1 May 2019

Working hypothesis

4

DTU Wind Energy1 May 2019 5

DTU Wind Energy1 May 2019

Simulated power curves for the Vestas V52 for different leading edge roughness levels

6

0

100

200

300

400

500

600

700

800

900

3 5 7 9 11 13

Elec

trica

l pow

er [k

W]

Wind speed [ms]

Clean 20 of full LER 40 of full LER

60 of full LER 80 of full LER Full LER Bech et al 2018 WES

LER is leading edge roughness Roughness levels increase for eroded blade

DTU Wind Energy1 May 2019

Rain erosion test example

7

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Rain erosion test data plotted as a Woumlhler curve

8

Bech et al 2018 WES

D is drop sizevt is blade speed

Impacts per unit area to failure as function of the kinetic energy for each impact

DTU Wind Energy1 May 2019

Woumlhler curves for droplet diameters of 15 20 and 25 mm

9

RET is Rain Erosion Test

Bech et al 2018 WES

Chart1

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

life model polytech data

Jakob Ilsted Bechantaget
Jakob Ilsted Bechantaget
Jakob Ilsted Bechcinetic energy with diameter

life model polytech data

kinetic energy [J]
impactsm2
rain impact fatigue

impact fatigue V-N

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

impact fatigue (4)

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

fig 3

Fit
Time to removed coating [hrs]
Local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

fig 4

Fit
Impactsarea to removed coating [cm-2]
Kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig5 v-N

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

ASTM E739 stat (timespeed)

ASTM E739 stat (impactsenergy)

fig accu energ

Fit
accumulated imapct energy [Jcm-2]
kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig

Fit
impacts to erosion [cm-2]
local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

ASTM E739 stat (impactsacc en)

ASTM E739 stat (impactsspeed)

DTU Wind Energy1 May 2019

Extending lifetime

10

DTU Wind Energy1 May 2019

Assumptions

11

Bech et al 2018 WES

Weibull Abull 7 msbull 8 msbull 9 ms

Wind turbine Rain climate Wind climate

Vestas V52 850 kW pitch regulated variable speed and modified rotation speed to make it consistent with larger turbines

The temperate maritime climateof occurences of rain intensity is taken from Jones and Sims 1978

DTU Wind Energy1 May 2019

Control strategies

12

Apart from a reference case where it is assumed that there is no erosion six different control strate

on the model for expected lifetime for the blade leading edge

bull Control strategy 1 with expected life time of 16 years bull Control strategy 2 with expected life time of 104 years bull Control strategy 3 with expected life time of 244 years bull Control strategy 4 with expected life time of 539 years bull Control strategy 5 with expected life time of 1065 years bull Control strategy 6 with expected life time of infinite many years

No reduction (90 ms)

Reduction rdquolightrdquo 80 ms and 70 ms

Reduction rdquosevererdquo 55ms 65ms and 70ms

Idealized

Bech et al 2018 WES

DTU Wind Energy1 May 2019 13

Life time of the blade leading edge with no reduction of the tip speed Control strategy 1

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 90 35 51 10 20 01 88 90 79 11 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 64

Expected life [years] 16

Bech et al 2018 WES

DTU Wind Energy1 May 2019 14

Life time of the blade leading edge with reduction of the tip speed to 70ms and 80msControl strategy 2

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 70 46 38 10 20 01 88 80 263 33 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 96

Expected life [years] 104

Bech et al 2018 WES

DTU Wind Energy1 May 2019 15

Life time of the blade leading edge with reduction of the tip speed to 55ms 65ms and 70msControl strategy 5

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 55 541 03 10 20 01 88 65 2215 04 5 15 1 88 70 47514 02 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 09

Expected life [years] 107

Bech et al 2018 WES

DTU Wind Energy1 May 2019

AEP relative to AEP with no erosion

16

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019 17

bull Energy price o 50 euroMWh o 250 euroMWh

bull Inspection cost o 500 eurorotor o 1500 eurorotor

bull Repair cost o 10000 eurorotor o 20000 eurorotor

Stand still of 1 day inspected

Stand still of 2 days repaired

Cost of operation and maintenance

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Loss of income due to erosion inspection and repair

18

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019

In what geography is leading edge erosion a challenge

19

DTU Wind Energy1 May 2019

Rainfall erosivity (for soils)

20

Rainfall erosivity for soils is modelled as a function of the kinetic energy of rain the maximum intensity of rainfall the cumulative rainfall the soil properties and the slopes of terrain The map on rainfall erosivity in Europe at 500 m spatial resolution assessed by European Soil Data Centre (Panagos et al 2015)

A map for wind turbine blades is in preparation in the EROSION research project

Rainfall erosivity (for wind turbine blades)

DTU Wind Energy1 May 2019

Conclusions

21

A framework for prediction and a mitigation strategy for leading edge erosion was presented

The model takes into account the entire value chain leading edge test data actual on site precipitation erosion rate loss of production due to erosion operation and maintenance

The lost energy production due to occasional tip speed reduction is marginal in proportion to the alternative of lost production due to eroded blades

Thus the cost ndash benefit balance of erosion control looks very promising and shows a great potential for reducing the loss of produced energy due to erosion and the cost of operation and maintenance

To accomplish erosion control there is a need for more knowledge on the correlation between precipitation and erosion for different leading edge structures and materials and for development of methods and equipment for on-site now casting of precipitation

DTU Wind Energy1 May 2019

Reading

22

DTU Wind Energy1 May 2019

Acknowledgements

23

Support from Innovation Fund Denmark is acknowledged

wwwrain-erosiondk

  • Slide Number 1
  • Slide Number 2
  • Motivation
  • Working hypothesis
  • Slide Number 5
  • Simulated power curves for the Vestas V52 for different leading edge roughness levels
  • Rain erosion test example
  • Rain erosion test data plotted as a Woumlhler curve
  • Woumlhler curves for droplet diameters of 15 20 and 25 mm
  • Extending lifetime
  • Assumptions
  • Control strategies
  • Slide Number 13
  • Slide Number 14
  • Slide Number 15
  • AEP relative to AEP with no erosion
  • Cost of operation and maintenance
  • Loss of income due to erosion inspection and repair
  • In what geography is leading edge erosion a challenge
  • Rainfall erosivity (for soils)
  • Conclusions
  • Reading
  • Acknowledgements
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 84830 2118 3929 4486 15433 83204033354 SUMX 12432 2118 39329 20398 00719 46563 45844 47282 4531984 1096 38407 1096 53477 1096
122000 157762 2086 4198 4353 17623 87585455209 SUMY 26153 2086 42253 20407 00707 46484 45777 47191 4450115 1098 37815 1098 52370 1098 Regression Statistics
118533 229919 2074 4362 4301 19023 90452114031 SUMXX 25762 2074 43412 20415 00696 46405 45709 47100 4369882 1100 37232 1100 51289 1100 Multiple R 08824404681
115733 299317 2063 4476 4258 20036 92363123663 SUMYY 114332 2063 44373 20424 00684 46326 45642 47010 4291248 1102 36657 1102 50235 1102 R Square 07787011797
112267 362940 2050 4560 4204 20792 93488041277 SUMXY 54151 2050 45596 20432 00673 46247 45574 46920 4214179 1105 36092 1105 49205 1105 Adjusted R Square 07510388271
109600 425182 2040 4629 4161 21424 94414167683 SAKX 00039016342 2040 46563 20441 00662 46169 45507 46831 4138641 1107 35535 1107 48201 1107 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 235430 20449 00651 46090 45439 46741 4064600 1109 34987 1109 47220 1109 Observations 10
SAPXY -00361255109 0000 235430 20458 00640 46012 45372 46652 3992024 1111 34447 1111 46263 1111
XMEAN 20719423346 0000 235430 20466 00630 45934 45304 46564 3920881 1113 33915 1113 45329 1113 ANOVA
YMEAN 4359 0000 235430 20474 00620 45856 45236 46475 3851140 1115 33391 1115 44417 1115 df SS MS F Significance F
A1 -92590717384 -92591 -01080 0000 235430 20483 00609 45778 45169 46388 3782770 1118 32875 1118 43527 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 23543 3491729856497833400000000 1031E-218 0000 235430 20491 00600 45700 45101 46300 3715744 1120 32366 1120 42658 1120 Residual 8 1901803363282 23772542041
R2 0990 (X=349172985649783000000000Y^-009) 0000 235430 20500 00590 45623 45033 46213 3650030 1122 31864 1122 41811 1122 Total 9 8593825130074
T-VALUE 2776 0000 235430 20508 00580 45546 44965 46126 3585602 1124 31370 1124 40983 1124
F-VALUE 6940 0000 235430 20516 00571 45468 44897 46040 3522431 1126 30883 1126 40176 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 1305806455 -79532652834 -105648781934 0000 235430 20525 00562 45391 44829 45954 3460491 1128 30403 1128 39388 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 23510 23576 0000 235430 20533 00554 45314 44761 45868 3399756 1131 29929 1131 38619 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 235430 20541 00545 45238 44693 45783 3340200 1133 29462 1133 37869 1133
Xmax 1312 20549 00537 45161 44624 45698 3281797 1135 29001 1135 37137 1135
Variansanalysetabel 20558 00529 45085 44556 45614 3224524 1137 28547 1137 36423 1137
SAK f S2 F 20566 00521 45008 44487 45530 3168356 1139 28099 1139 35726 1139 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 20574 00514 44932 44418 45446 3113270 1141 27657 1141 35046 1141
Residual 0003 4 0001 20582 00507 44856 44349 45363 3059243 1144 27220 1144 34382 1144 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 20591 00501 44780 44280 45281 3006253 1146 26790 1146 33735 1146 1 649620085731 04744116959 01032033599
20599 00494 44705 44210 45199 2954278 1148 26365 1148 33104 1148 2 847353753756 81224337994 17669515023
20607 00488 44629 44141 45117 2903297 1150 25945 1150 32488 1150 3 723989604863 -37728515527 -08207448511
20615 00483 44553 44071 45036 2853289 1152 25531 1152 31888 1152 4 839679896083 35389412933 07698600923
N = 3492E+23 S^ -926 20623 00478 44478 44001 44956 2804234 1154 25122 1154 31302 1154 5 802495136516 -30746271321 -06688533467
20631 00473 44403 43930 44876 2756111 1156 24719 1156 30730 1156 6 781834750473 -45407034997 -0987783104
20639 00468 44328 43860 44796 2708902 1159 24320 1159 30173 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 44253 43789 44717 2662587 1161 23927 1161 29630 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 44178 43718 44639 2617147 1163 23538 1163 29100 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 44104 43646 44561 2572566 1165 23154 1165 28583 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 44029 43575 44484 2528824 1167 22775 1167 28079 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 43955 43503 44407 2485905 1169 22401 1169 27587 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 43881 43430 44331 2443791 1172 22031 1172 27107 1172
6 24469 514 20696 00449 43807 43358 44255 2402467 1174 21666 1174 26640 1174
7 23646 474 20704 00448 43733 43285 44180 2361915 1176 21306 1176 26184 1176
8 2306 446 20712 00447 43659 43212 44106 2322120 1178 20950 1178 25739 1178
9 22622 426 20720 00447 43585 43138 44032 2283067 1180 20599 1180 25305 1180
10 22281 41 20728 00447 43512 43065 43959 2244741 1182 20252 1182 24881 1182
11 2201 398 20736 00448 43438 42991 43886 2207126 1185 19909 1185 24468 1185
12 21788 289 20743 00449 43365 42916 43814 2170208 1187 19571 1187 24065 1187
13 21604 381 20751 00450 43292 42842 43742 2133973 1189 19238 1189 23671 1189
14 21448 374 20759 00452 43219 42767 43671 2098407 1191 18909 1191 23287 1191
15 21315 368 20767 00455 43146 42691 43601 2063496 1193 18584 1193 22912 1193
16 21199 363 20775 00457 43073 42616 43531 2029229 1195 18264 1195 22546 1195
17 21098 359 20783 00460 43001 42540 43461 1995590 1198 17949 1198 22188 1198
18 21009 355 20791 00464 42928 42464 43392 1962568 1200 17637 1200 21838 1200
19 2093 352 20798 00468 42856 42388 43324 1930151 1202 17331 1202 21497 1202
20 2086 349 20806 00472 42784 42312 43256 1898326 1204 17028 1204 21163 1204
21 20796 347 20814 00477 42712 42235 43188 1867081 1206 16730 1206 20836 1206
22 20739 344 20822 00482 42640 42158 43121 1836405 1208 16437 1208 20517 1208
23 2069 342 20830 00487 42568 42081 43055 1806286 1210 16148 1210 20205 1210
24 2064 34 20837 00492 42496 42004 42988 1776714 1213 15863 1213 19900 1213
25 206 339 20845 00498 42425 41927 42923 1747678 1215 15583 1215 19601 1215
26 2056 337 20853 00504 42353 41849 42857 1719166 1217 15307 1217 19308 1217
27 2052 335 20860 00511 42282 41771 42792 1691168 1219 15036 1219 19022 1219
28 2048 334 20868 00517 42211 41693 42728 1663675 1221 14769 1221 18741 1221
29 2045 333 20876 00524 42140 41615 42664 1636677 1223 14506 1223 18466 1223
30 2042 332 20883 00531 42069 41537 42600 1610163 1226 14247 1226 18197 1226
31 2021 323 20891 00539 41998 41459 42537 1584124 1228 13993 1228 17933 1228
40 2021 323 20899 00546 41927 41381 42473 1558550 1230 13743 1230 17675 1230
41 2 315 20906 00554 41857 41303 42411 1533434 1232 13498 1232 17421 1232
60 2 315 20914 00562 41786 41224 42348 1508765 1234 13256 1234 17172 1234
61 198 307 20922 00570 41716 41146 42286 1484535 1236 13019 1236 16928 1236
120 198 307 20929 00579 41646 41067 42224 1460735 1239 12785 1239 16689 1239
121 196 3 20937 00587 41576 40989 42163 1437358 1241 12556 1241 16454 1241
20944 00596 41506 40910 42101 1414394 1243 12331 1243 16223 1243
20952 00605 41436 40831 42040 1391836 1245 12110 1245 15997 1245
20959 00614 41366 40753 41980 1369676 1247 11892 1247 15775 1247
20967 00623 41297 40674 41919 1347906 1249 11679 1249 15557 1249
20974 00632 41227 40595 41859 1326519 1252 11469 1252 15343 1252
20982 00641 41158 40517 41799 1305508 1254 11263 1254 15132 1254
20989 00651 41089 40438 41739 1284864 1256 11061 1256 14925 1256
20997 00660 41019 40359 41680 1264582 1258 10862 1258 14722 1258
21004 00670 40950 40281 41620 1244654 1260 10667 1260 14522 1260
21012 00680 40882 40202 41561 1225073 1262 10476 1262 14326 1262
21019 00690 40813 40123 41502 1205832 1264 10288 1264 14133 1264
21027 00699 40744 40045 41444 1186927 1267 10104 1267 13943 1267
21034 00709 40676 39966 41385 1168348 1269 9923 1269 13757 1269
21041 00720 40607 39888 41327 1150092 1271 9745 1271 13573 1271
21049 00730 40539 39809 41269 1132151 1273 9570 1273 13393 1273
21056 00740 40471 39731 41211 1114520 1275 9399 1275 13216 1275
21063 00750 40403 39653 41153 1097192 1277 9231 1277 13041 1277
21071 00761 40335 39574 41096 1080163 1280 9066 1280 12869 1280
21078 00771 40267 39496 41038 1063425 1282 8904 1282 12700 1282
21085 00782 40199 39418 40981 1046975 1284 8745 1284 12534 1284
21093 00792 40132 39340 40924 1030806 1286 8589 1286 12370 1286
21100 00803 40064 39262 40867 1014914 1288 8436 1288 12209 1288
21107 00813 39997 39184 40810 999292 1290 8286 1290 12051 1290
21115 00824 39930 39106 40754 983936 1293 8139 1293 11895 1293
21122 00835 39863 39028 40697 968842 1295 7994 1295 11741 1295
21129 00845 39795 38950 40641 954003 1297 7853 1297 11590 1297
21136 00856 39729 38872 40585 939416 1299 7713 1299 11441 1299
21143 00867 39662 38795 40529 925076 1301 7577 1301 11295 1301
21151 00878 39595 38717 40473 910978 1303 7443 1303 11150 1303
21158 00889 39528 38640 40417 897117 1306 7311 1306 11008 1306
21165 00900 39462 38562 40362 883490 1308 7182 1308 10868 1308
21172 00911 39396 38485 40306 870092 1310 7055 1310 10730 1310
21179 00921 39329 38408 40251 856918 1312 6931 1312 10595 1312
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 3058 -1443 2485 2082 6178 -35867216599 SUMX -9210 -1443 24899 -15993 00719 30570 29851 31288 114017 00 966 00 1345 00
0031 4918 -1506 2692 2269 7246 -40544199354 SUMY 16942 -1506 27191 -15974 00706 30502 29796 31208 112243 00 954 00 1321 00 Regression Statistics
0029 6766 -1531 2830 2345 8011 -433394905 SUMXX 14154 -1531 28099 -15956 00693 30434 29740 31127 110504 00 942 00 1296 00 Multiple R 08824404681
0028 8397 -1552 2924 2409 8550 -45382863655 SUMYY 48049 -1552 28853 -15937 00681 30366 29685 31047 108799 00 930 00 1273 00 R Square 07787011797
0026 9581 -1578 2981 2491 8889 -47059517004 SUMXY -26064 -1578 29812 -15919 00669 30299 29630 30968 107127 00 918 00 1250 00 Adjusted R Square 07510388271
0025 10697 -1599 3029 2558 9176 -48447490003 SAKX 00156065368 -1599 30570 -15900 00657 30232 29575 30889 105489 00 907 00 1227 00 Standard Error 48757093885
SAKY (SAKtotal) 021 0000 -27478 -15882 00645 30165 29520 30811 103882 00 895 00 1205 00 Observations 10
SAPXY -0056644485 0000 -27478 -15864 00634 30099 29465 30733 102306 00 884 00 1184 00
XMEAN -15350567173 0000 -27478 -15845 00623 30033 29410 30655 100760 00 873 00 1163 00 ANOVA
YMEAN 2824 0000 -27478 -15827 00612 29967 29356 30579 99245 00 862 00 1143 00 df SS MS F Significance F
A1 -36295358692 -36295 -02755 0000 -27478 -15809 00601 29902 29301 30502 97758 00 851 00 1123 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 9404E+09 0000 -27478 -15791 00590 29836 29246 30427 96299 00 841 00 1103 00 Residual 8 1901803363282 23772542041
R2 0983 (X=00Y^-004) 0000 -27478 -15773 00580 29771 29191 30352 94868 00 830 00 1084 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 29706 29136 30277 93464 00 820 00 1066 00
F-VALUE 6940 0000 -27478 -15738 00561 29642 29081 30203 92087 00 809 00 1048 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -29766326417 -42824390967 0000 -27478 -15720 00552 29578 29026 30129 90735 00 799 00 1030 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 29514 28971 30057 89409 00 789 00 1013 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 29450 28916 29984 88107 00 779 00 996 00
Xmax 00360517444 -15667 00526 29387 28861 29913 86829 00 769 00 980 00
Variansanalysetabel -15650 00518 29323 28805 29842 85575 00 760 00 964 00
SAK f S2 F -15633 00511 29261 28750 29771 84343 00 750 00 949 00 RESIDUAL OUTPUT
Regress 02055931902 1 0206 23821 -15615 00503 29198 28694 29701 83135 00 740 00 934 00
Residual 0003 4 0001 -15598 00497 29135 28639 29632 81948 00 731 00 919 00 Observation Predicted Y Residuals Standard Residuals
Total 0209 5 -15581 00490 29073 28583 29563 80783 00 722 00 904 00 1 649620085731 04744116959 01032033599
-15564 00484 29011 28527 29496 79639 00 712 00 890 00 2 847353753756 81224337994 17669515023
-15547 00479 28950 28471 29428 78515 00 703 00 877 00 3 723989604863 -37728515527 -08207448511
-15530 00474 28888 28414 29362 77412 00 694 00 863 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -363 -15513 00469 28827 28358 29296 76328 00 685 00 850 00 5 802495136516 -30746271321 -06688533467
-15496 00465 28766 28301 29231 75264 00 676 00 838 00 6 781834750473 -45407034997 -0987783104
-15479 00461 28705 28244 29166 74218 00 667 00 825 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 28645 28187 29102 73191 00 659 00 813 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 28584 28130 29039 72182 00 650 00 801 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 28524 28072 28976 71190 00 642 00 790 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 28464 28014 28915 70216 00 633 00 779 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 28405 27956 28853 69259 00 625 00 768 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 28345 27898 28793 68319 00 616 00 757 00
6 24469 514 -15364 00447 28286 27839 28733 67394 00 608 00 747 00
7 23646 474 -15348 00447 28227 27780 28674 66486 00 600 00 737 00
8 2306 446 -15332 00447 28169 27721 28616 65593 00 592 00 727 00
9 22622 426 -15316 00448 28110 27662 28558 64715 00 584 00 717 00
10 22281 41 -15299 00449 28052 27603 28501 63853 00 576 00 708 00
11 2201 398 -15283 00451 27994 27543 28444 63005 00 568 00 699 00
12 21788 289 -15268 00453 27936 27483 28389 62171 00 560 00 690 00
13 21604 381 -15252 00455 27878 27423 28333 61351 00 552 00 681 00
14 21448 374 -15236 00458 27821 27363 28279 60545 00 545 00 673 00
15 21315 368 -15220 00461 27764 27302 28225 59752 00 537 00 664 00
16 21199 363 -15204 00465 27707 27242 28171 58973 00 530 00 656 00
17 21098 359 -15189 00469 27650 27181 28119 58207 00 523 00 648 00
18 21009 355 -15173 00473 27593 27120 28066 57453 00 515 00 641 00
19 2093 352 -15158 00478 27537 27059 28014 56711 00 508 00 633 00
20 2086 349 -15142 00483 27480 26998 27963 55982 00 501 00 626 00
21 20796 347 -15127 00488 27424 26936 27912 55265 00 494 00 618 00
22 20739 344 -15111 00494 27369 26875 27862 54559 00 487 00 611 00
23 2069 342 -15096 00499 27313 26814 27812 53865 00 480 00 604 00
24 2064 34 -15081 00506 27258 26752 27763 53182 00 473 00 597 00
25 206 339 -15065 00512 27202 26691 27714 52510 00 467 00 591 00
26 2056 337 -15050 00519 27147 26629 27666 51849 00 460 00 584 00
27 2052 335 -15035 00525 27093 26567 27618 51198 00 454 00 578 00
28 2048 334 -15020 00532 27038 26506 27570 50558 00 447 00 572 00
29 2045 333 -15005 00540 26983 26444 27523 49928 00 441 00 565 00
30 2042 332 -14990 00547 26929 26382 27476 49308 00 435 00 559 00
31 2021 323 -14975 00555 26875 26320 27430 48698 00 429 00 553 00
40 2021 323 -14960 00563 26821 26259 27384 48097 00 423 00 547 00
41 2 315 -14946 00571 26767 26197 27338 47506 00 417 00 542 00
60 2 315 -14931 00579 26714 26135 27293 46924 00 411 00 536 00
61 198 307 -14916 00587 26661 26074 27248 46351 00 405 00 531 00
120 198 307 -14902 00595 26607 26012 27203 45787 00 399 00 525 00
121 196 3 -14887 00604 26554 25951 27158 45232 00 394 00 520 00
-14872 00613 26502 25889 27114 44685 00 388 00 515 00
-14858 00621 26449 25828 27070 44147 00 383 00 509 00
-14843 00630 26397 25766 27027 43617 00 377 00 504 00
-14829 00639 26344 25705 26983 43095 00 372 00 499 00
-14815 00648 26292 25644 26940 42580 00 367 00 494 00
-14800 00657 26240 25583 26897 42074 00 362 00 489 00
-14786 00667 26188 25522 26855 41576 00 357 00 485 00
-14772 00676 26137 25461 26813 41084 00 352 00 480 00
-14758 00685 26085 25400 26771 40601 00 347 00 475 00
-14744 00695 26034 25339 26729 40124 00 342 00 471 00
-14729 00704 25983 25279 26687 39655 00 337 00 466 00
-14715 00714 25932 25218 26646 39192 00 333 00 462 00
-14701 00723 25881 25158 26604 38737 00 328 00 458 00
-14688 00733 25831 25098 26564 38288 00 323 00 453 00
-14674 00743 25780 25038 26523 37846 00 319 00 449 00
-14660 00752 25730 24978 26482 37410 00 315 00 445 00
-14646 00762 25680 24918 26442 36981 00 310 00 441 00
-14632 00772 25630 24858 26402 36558 00 306 00 437 00
-14618 00782 25580 24798 26362 36141 00 302 00 433 00
-14605 00792 25530 24739 26322 35730 00 298 00 429 00
-14591 00801 25481 24679 26282 35325 00 294 00 425 00
-14578 00811 25431 24620 26243 34926 00 290 00 421 00
-14564 00821 25382 24561 26204 34533 00 286 00 417 00
-14550 00831 25333 24502 26165 34145 00 282 00 413 00
-14537 00841 25284 24443 26126 33763 00 278 00 410 00
-14524 00851 25236 24384 26087 33386 00 274 00 406 00
-14510 00861 25187 24326 26048 33015 00 271 00 403 00
-14497 00871 25139 24267 26010 32648 00 267 00 399 00
-14484 00881 25090 24209 25972 32287 00 264 00 396 00
-14470 00891 25042 24151 25934 31932 00 260 00 392 00
-14457 00901 24994 24093 25896 31581 00 257 00 389 00
-14444 00911 24946 24035 25858 31235 00 253 00 385 00
-14431 00921 24899 23977 25820 30893 00 250 00 382 00
8482958466798 453198415510438
157762337339841 445011526968153
229919209664129 436988185343382
299317396308158 429124812025937
362939584809143 42141791349927
425182430469998 413864079156283
406459979175265
399202362454331
392088054602438
385113955985505
378277039825948
371574350354031
3650030010096
358560172692686
352243112061582
346049129876992
339975599390947
334019954779185
328179689615728
322452355388469
316835560054579
311326966634576
305924291843988
300625304761508
295427825532595
290329724107552
28532891901306
280423376156244
275611107660335
270890170731068
266258666552894
261714739214239
257256574660917
252882399676985
248590480892212
244379123815443
240246671893146
23619150559242
232212041507809
22830673149124
224474061804437
220712552293262
217020755583252
213397256295896
209840670285
206349643892635
202922853224091
199559003441363
196256828074617
193015088351196
189832572541652
186708095322343
183640497154179
180628643677042
177671425119486
174767755723285
171916573182442
16911683809627
166367533436157
16366766402567
161016256033615
158412356479738
155855032752697
153343372140009
150876481369642
148453486162936
146073530798571
143735777687276
141439406957002
139183616048281
136967619319522
134790647661941
132651948123926
130550783544548
128486432196003
126458187434752
12446535736111
122507264487102
120583245412343
118692650507738
116834843606817
115009201704496
113215114663065
111451984925241
10971922723408
10801626835959
106342546831866
10469751268058
103080627180672
101491362604075
99929201977326
98393638844908
96884177038201
95400330449854
93941622813496
92507587488613
91097767250473
89711714084978
88348988988316
87009161771285
85691810868186
3058254506667 11401660489024
4917921666667 11224254241385
6765733182963 11050353869471
8396677941728 10879875483775
9580641906173 10712737548677
1069682848 10548860806755
1038816820583
10230584828653
10076037825111
9924456346858
9775771484275
9629916205667
9486825298608
934643531335
9208684508213
9073512796881
8940861697535
8810674283738
8682895137025
8557470301108
8434347237659
8313474783592
8194803109801
8078283681286
796386921863
7851513660757
7741172128948
7632800892042
7526357332798
7421799915369
7319088153841
7218182581804
7119044722924
7021637062462
6925923019723
6831866921392
6739433975727
6648590247583
6559302634229
6471538841935
6385267363303
6300457455314
6217079118063
6135103074163
6054500748792
597524425036
5897306351775
5820660472292
5745280659917
5671141574349
559821847045
5526487182213
5455924107218
5386506191562
5318210915236
5251016277946
5184900785361
5119843435765
5055823707109
4992821544449
4930817347748
4869791960047
4809726655972
4750603130585
4692403488555
4635110233648
4578706258517
4523174834784
4468499603418
4414664565374
4361654072513
4309452818768
4258045831573
420741846352
4157556384267
410844557266
4060072309079
4012423168008
3965485010793
3919244978615
3873690485654
3828809212438
3784589099379
3741018340481
3698085377224
3655778892613
3614087805387
3573001264389
3532508643077
34925995342
3453263744596
3414491290147
3376272390858
3338597466066
3301457129784
326484218616
3228743625054
3193152617745
3158060512727
312345883164
3089339265284
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 84830 -1443 3929 2082 15433 -56691834105 SUMX -9210 -1443 39329 -15993 00719 46563 45844 47282 4531984 00 38407 00 53477 00
0031 157762 -1506 4198 2269 17623 -63231238203 SUMY 26153 -1506 42253 -15974 00706 46476 45770 47182 4442233 00 37758 00 52264 00 Regression Statistics
0029 229919 -1531 4362 2345 19023 -66787074357 SUMXX 14154 -1531 43412 -15956 00693 46390 45696 47083 4354634 00 37120 00 51085 00 Multiple R 08824404681
0028 299317 -1552 4476 2409 20036 -69470662987 SUMYY 114332 -1552 44373 -15937 00681 46303 45622 46984 4269127 00 36495 00 49939 00 R Square 07787011797
0026 362940 -1578 4560 2491 20792 -71974236821 SUMXY -40218 -1578 45596 -15919 00669 46218 45549 46886 4185652 00 35882 00 48826 00 Adjusted R Square 07510388271
0025 425182 -1599 4629 2558 21424 -74025743521 SAKX 00156065368 -1599 46563 -15900 00657 46132 45475 46789 4104154 00 35280 00 47743 00 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 -27478 -15882 00645 46047 45402 46692 4024578 00 34690 00 46692 00 Observations 10
SAPXY -00722510218 0000 -27478 -15864 00634 45963 45329 46596 3946870 00 34110 00 45670 00
XMEAN -15350567173 0000 -27478 -15845 00623 45878 45256 46501 3870979 00 33540 00 44676 00 ANOVA
YMEAN 4359 0000 -27478 -15827 00612 45794 45183 46406 3796854 00 32981 00 43710 00 df SS MS F Significance F
A1 -46295358692 -46295 -02160 0000 -27478 -15809 00601 45711 45110 46311 3724449 00 32432 00 42771 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 5262E+12 0000 -27478 -15791 00590 45627 45037 46218 3653716 00 31893 00 41858 00 Residual 8 1901803363282 23772542041
R2 0990 (X=00Y^-005) 0000 -27478 -15773 00580 45544 44964 46125 3584610 00 31362 00 40971 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 45462 44891 46032 3517086 00 30842 00 40108 00
F-VALUE 6940 0000 -27478 -15738 00561 45380 44819 45941 3451104 00 30330 00 39269 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -39766326417 -52824390967 0000 -27478 -15720 00552 45298 44746 45849 3386620 00 29826 00 38453 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 45216 44673 45759 3323595 00 29331 00 37660 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 45135 44601 45669 3261991 00 28844 00 36889 00
Xmax 00360517444 -15667 00526 45054 44528 45580 3201770 00 28366 00 36140 00
Variansanalysetabel -15650 00518 44973 44455 45491 3142896 00 27895 00 35411 00
SAK f S2 F -15633 00511 44893 44382 45404 3085332 00 27431 00 34702 00 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 -15615 00503 44813 44310 45316 3029046 00 26975 00 34013 00
Residual 0003 4 0001 -15598 00497 44733 44237 45230 2974003 00 26526 00 33343 00 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 -15581 00490 44654 44164 45144 2920172 00 26084 00 32692 00 1 649620085731 04744116959 01032033599
-15564 00484 44575 44091 45059 2867521 00 25649 00 32058 00 2 847353753756 81224337994 17669515023
-15547 00479 44496 44018 44975 2816020 00 25221 00 31442 00 3 723989604863 -37728515527 -08207448511
-15530 00474 44418 43944 44892 2765640 00 24799 00 30843 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -463 -15513 00469 44340 43871 44809 2716351 00 24383 00 30261 00 5 802495136516 -30746271321 -06688533467
-15496 00465 44262 43797 44727 2668126 00 23974 00 29694 00 6 781834750473 -45407034997 -0987783104
-15479 00461 44185 43724 44645 2620939 00 23571 00 29144 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 44107 43650 44565 2574762 00 23173 00 28608 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 44030 43576 44485 2529571 00 22782 00 28087 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 43954 43502 44406 2485341 00 22396 00 27581 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 43878 43427 44328 2442047 00 22016 00 27088 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 43802 43353 44250 2399668 00 21641 00 26608 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 43726 43278 44173 2358179 00 21272 00 26142 00
6 24469 514 -15364 00447 43650 43203 44097 2317559 00 20909 00 25688 00
7 23646 474 -15348 00447 43575 43128 44022 2277787 00 20551 00 25246 00
8 2306 446 -15332 00447 43500 43053 43947 2238842 00 20198 00 24816 00
9 22622 426 -15316 00448 43426 42978 43873 2200703 00 19851 00 24398 00
10 22281 41 -15299 00449 43351 42902 43800 2163352 00 19508 00 23990 00
11 2201 398 -15283 00451 43277 42827 43728 2126768 00 19171 00 23593 00
12 21788 289 -15268 00453 43203 42751 43656 2090935 00 18840 00 23207 00
13 21604 381 -15252 00455 43130 42675 43585 2055832 00 18513 00 22830 00
14 21448 374 -15236 00458 43057 42599 43515 2021444 00 18191 00 22463 00
15 21315 368 -15220 00461 42984 42522 43445 1987753 00 17875 00 22105 00
16 21199 363 -15204 00465 42911 42446 43376 1954742 00 17563 00 21756 00
17 21098 359 -15189 00469 42838 42370 43307 1922395 00 17257 00 21415 00
18 21009 355 -15173 00473 42766 42293 43239 1890697 00 16956 00 21083 00
19 2093 352 -15158 00478 42694 42217 43172 1859632 00 16659 00 20759 00
20 2086 349 -15142 00483 42623 42140 43105 1829186 00 16368 00 20442 00
21 20796 347 -15127 00488 42551 42063 43039 1799343 00 16081 00 20133 00
22 20739 344 -15111 00494 42480 41986 42974 1770091 00 15799 00 19831 00
23 2069 342 -15096 00499 42409 41910 42908 1741415 00 15522 00 19536 00
24 2064 34 -15081 00506 42338 41833 42844 1713302 00 15250 00 19248 00
25 206 339 -15065 00512 42268 41756 42780 1685738 00 14983 00 18966 00
26 2056 337 -15050 00519 42198 41679 42716 1658712 00 14720 00 18691 00
27 2052 335 -15035 00525 42128 41602 42653 1632212 00 14462 00 18421 00
28 2048 334 -15020 00532 42058 41526 42590 1606224 00 14209 00 18157 00
29 2045 333 -15005 00540 41989 41449 42528 1580737 00 13960 00 17899 00
30 2042 332 -14990 00547 41919 41372 42466 1555741 00 13716 00 17646 00
31 2021 323 -14975 00555 41850 41296 42405 1531224 00 13476 00 17399 00
40 2021 323 -14960 00563 41782 41219 42344 1507175 00 13241 00 17156 00
41 2 315 -14946 00571 41713 41143 42284 1483584 00 13009 00 16919 00
60 2 315 -14931 00579 41645 41066 42224 1460440 00 12783 00 16686 00
61 198 307 -14916 00587 41577 40990 42164 1437734 00 12560 00 16458 00
120 198 307 -14902 00595 41509 40914 42104 1415455 00 12341 00 16234 00
121 196 3 -14887 00604 41441 40838 42045 1393595 00 12127 00 16015 00
-14872 00613 41374 40761 41987 1372144 00 11916 00 15800 00
-14858 00621 41307 40686 41928 1351094 00 11710 00 15589 00
-14843 00630 41240 40610 41870 1330434 00 11507 00 15382 00
-14829 00639 41173 40534 41812 1310158 00 11309 00 15179 00
-14815 00648 41107 40459 41755 1290256 00 11114 00 14979 00
-14800 00657 41041 40383 41698 1270721 00 10922 00 14784 00
-14786 00667 40974 40308 41641 1251544 00 10735 00 14591 00
-14772 00676 40909 40233 41584 1232718 00 10551 00 14403 00
-14758 00685 40843 40158 41528 1214235 00 10370 00 14217 00
-14744 00695 40778 40083 41472 1196088 00 10193 00 14035 00
-14729 00704 40712 40008 41417 1178269 00 10019 00 13857 00
-14715 00714 40647 39934 41361 1160773 00 9849 00 13681 00
-14701 00723 40583 39859 41306 1143591 00 9682 00 13508 00
-14688 00733 40518 39785 41251 1126718 00 9518 00 13338 00
-14674 00743 40454 39711 41196 1110146 00 9357 00 13172 00
-14660 00752 40390 39637 41142 1093870 00 9199 00 13008 00
-14646 00762 40326 39564 41088 1077883 00 9044 00 12846 00
-14632 00772 40262 39490 41034 1062179 00 8892 00 12688 00
-14618 00782 40198 39417 40980 1046753 00 8743 00 12532 00
-14605 00792 40135 39344 40927 1031598 00 8597 00 12378 00
-14591 00801 40072 39271 40873 1016710 00 8454 00 12228 00
-14578 00811 40009 39198 40820 1002081 00 8313 00 12079 00
-14564 00821 39946 39125 40768 987708 00 8175 00 11933 00
-14550 00831 39884 39052 40715 973585 00 8040 00 11790 00
-14537 00841 39821 38980 40663 959706 00 7907 00 11648 00
-14524 00851 39759 38908 40610 946068 00 7777 00 11509 00
-14510 00861 39697 38836 40558 932664 00 7649 00 11372 00
-14497 00871 39635 38764 40507 919491 00 7524 00 11238 00
-14484 00881 39574 38693 40455 906543 00 7400 00 11105 00
-14470 00891 39512 38621 40404 893816 00 7280 00 10974 00
-14457 00901 39451 38550 40353 881306 00 7161 00 10846 00
-14444 00911 39390 38479 40302 869008 00 7045 00 10719 00
-14431 00921 39329 38408 40251 856918 00 6931 00 10595 00
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 05 2118 -0301 4486 0091 -06375616132 SUMX 12432 2118 -02966 20398 00719 05048 04330 05767 320 1096 3 1096 4 1096
122000 10 2086 0000 4353 0000 0 SUMY 1051 2086 00273 20407 00707 04961 04254 05668 313 1098 3 1098 4 1098 Regression Statistics
118533 15 2074 0176 4301 0031 03651851843 SUMXX 25762 2074 01557 20415 00696 04873 04177 05569 307 1100 3 1100 4 1100 Multiple R 08824404681
115733 20 2063 0301 4258 0091 06211628918 SUMYY 0598 2063 02622 20424 00684 04786 04101 05470 301 1102 3 1102 4 1102 R Square 07787011797
112267 25 2050 0398 4204 0158 08158768323 SUMXY 2138 2050 03977 20432 00673 04698 04025 05371 295 1105 3 1105 3 1105 Adjusted R Square 07510388271
109600 30 2040 0477 4161 0228 0973236971 SAKX 00039016342 2040 05048 20441 00662 04611 03949 05273 289 1107 2 1107 3 1107 Standard Error 48757093885
SAKY (SAKtotal) 041 0000 214314 20449 00651 04525 03873 05176 283 1109 2 1109 3 1109 Observations 10
SAPXY -00400271451 0000 214314 20458 00640 04438 03797 05078 278 1111 2 1111 3 1111
XMEAN 20719423346 0000 214314 20466 00630 04351 03721 04981 272 1113 2 1113 3 1113 ANOVA
YMEAN 0175 0000 214314 20474 00620 04265 03645 04885 267 1115 2 1115 3 1115 df SS MS F Significance F
A1 -102590717384 -102591 -00975 0000 214314 20483 00609 04179 03569 04788 262 1118 2 1118 3 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 21431 27002074746314896000000 1361E-220 0000 214314 20491 00600 04093 03493 04692 257 1120 2 1120 3 1120 Residual 8 1901803363282 23772542041
R2 0992 (X=2700207474631490000000Y^-010) 0000 214314 20500 00590 04007 03417 04597 252 1122 2 1122 3 1122 Total 9 8593825130074
T-VALUE 2776 0000 214314 20508 00580 03921 03341 04502 247 1124 2 1124 3 1124
F-VALUE 6940 0000 214314 20516 00571 03836 03264 04407 242 1126 2 1126 3 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 13058064549 -89532652835 -115648781933 0000 214314 20525 00562 03750 03188 04313 237 1128 2 1128 3 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 21398 21465 0000 214314 20533 00554 03665 03112 04219 233 1131 2 1131 3 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 214314 20541 00545 03580 03035 04125 228 1133 2 1133 3 1133
Xmax 1312 20549 00537 03495 02958 04032 224 1135 2 1135 3 1135
Variansanalysetabel 20558 00529 03410 02881 03940 219 1137 2 1137 2 1137
SAK f S2 F 20566 00521 03326 02804 03847 215 1139 2 1139 2 1139 RESIDUAL OUTPUT
Regress 04106413531 1 0411 47580 20574 00514 03242 02727 03756 211 1141 2 1141 2 1141
Residual 0003 4 0001 20582 00507 03157 02650 03664 207 1144 2 1144 2 1144 Observation Predicted Y Residuals Standard Residuals
Total 0414 5 20591 00501 03073 02573 03574 203 1146 2 1146 2 1146 1 649620085731 04744116959 01032033599
20599 00494 02989 02495 03484 199 1148 2 1148 2 1148 2 847353753756 81224337994 17669515023
20607 00488 02906 02417 03394 195 1150 2 1150 2 1150 3 723989604863 -37728515527 -08207448511
20615 00483 02822 02339 03305 192 1152 2 1152 2 1152 4 839679896083 35389412933 07698600923
N = 2700E+21 S^ -1026 20623 00478 02738 02261 03216 188 1154 2 1154 2 1154 5 802495136516 -30746271321 -06688533467
20631 00473 02655 02182 03128 184 1156 2 1156 2 1156 6 781834750473 -45407034997 -0987783104
20639 00468 02572 02104 03040 181 1159 2 1159 2 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 02489 02025 02953 177 1161 2 1161 2 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 02406 01946 02867 174 1163 2 1163 2 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 02324 01866 02781 171 1165 2 1165 2 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 02241 01786 02696 168 1167 2 1167 2 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 02159 01706 02611 164 1169 1 1169 2 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 02076 01626 02527 161 1172 1 1172 2 1172
6 24469 514 20696 00449 01994 01546 02443 158 1174 1 1174 2 1174
7 23646 474 20704 00448 01912 01465 02360 155 1176 1 1176 2 1176
8 2306 446 20712 00447 01831 01384 02278 152 1178 1 1178 2 1178
9 22622 426 20720 00447 01749 01302 02196 150 1180 1 1180 2 1180
10 22281 41 20728 00447 01668 01221 02115 147 1182 1 1182 2 1182
11 2201 398 20736 00448 01586 01139 02034 144 1185 1 1185 2 1185
12 21788 289 20743 00449 01505 01056 01954 141 1187 1 1187 2 1187
13 21604 381 20751 00450 01424 00974 01874 139 1189 1 1189 2 1189
14 21448 374 20759 00452 01343 00891 01795 136 1191 1 1191 2 1191
15 21315 368 20767 00455 01262 00808 01717 134 1193 1 1193 1 1193
16 21199 363 20775 00457 01182 00725 01639 131 1195 1 1195 1 1195
17 21098 359 20783 00460 01101 00641 01562 129 1198 1 1198 1 1198
18 21009 355 20791 00464 01021 00557 01485 127 1200 1 1200 1 1200
19 2093 352 20798 00468 00941 00473 01409 124 1202 1 1202 1 1202
20 2086 349 20806 00472 00861 00389 01333 122 1204 1 1204 1 1204
21 20796 347 20814 00477 00781 00305 01258 120 1206 1 1206 1 1206
22 20739 344 20822 00482 00701 00220 01183 118 1208 1 1208 1 1208
23 2069 342 20830 00487 00622 00135 01109 115 1210 1 1210 1 1210
24 2064 34 20837 00492 00542 00050 01035 113 1213 1 1213 1 1213
25 206 339 20845 00498 00463 -00035 00961 111 1215 1 1215 1 1215
26 2056 337 20853 00504 00384 -00120 00888 109 1217 1 1217 1 1217
27 2052 335 20860 00511 00305 -00206 00816 107 1219 1 1219 1 1219
28 2048 334 20868 00517 00226 -00291 00743 105 1221 1 1221 1 1221
29 2045 333 20876 00524 00147 -00377 00672 103 1223 1 1223 1 1223
30 2042 332 20883 00531 00069 -00463 00600 102 1226 1 1226 1 1226
31 2021 323 20891 00539 -00010 -00548 00529 100 1228 1 1228 1 1228
40 2021 323 20899 00546 -00088 -00634 00458 098 1230 1 1230 1 1230
41 2 315 20906 00554 -00166 -00720 00388 096 1232 1 1232 1 1232
60 2 315 20914 00562 -00244 -00806 00318 095 1234 1 1234 1 1234
61 198 307 20922 00570 -00322 -00892 00248 093 1236 1 1236 1 1236
120 198 307 20929 00579 -00400 -00978 00179 091 1239 1 1239 1 1239
121 196 3 20937 00587 -00478 -01065 00110 090 1241 1 1241 1 1241
20944 00596 -00555 -01151 00041 088 1243 1 1243 1 1243
20952 00605 -00632 -01237 -00028 086 1245 1 1245 1 1245
20959 00614 -00710 -01323 -00096 085 1247 1 1247 1 1247
20967 00623 -00787 -01409 -00164 083 1249 1 1249 1 1249
20974 00632 -00864 -01496 -00232 082 1252 1 1252 1 1252
20982 00641 -00941 -01582 -00299 081 1254 1 1254 1 1254
20989 00651 -01017 -01668 -00367 079 1256 1 1256 1 1256
20997 00660 -01094 -01754 -00434 078 1258 1 1258 1 1258
21004 00670 -01170 -01840 -00500 076 1260 1 1260 1 1260
21012 00680 -01247 -01926 -00567 075 1262 1 1262 1 1262
21019 00690 -01323 -02012 -00633 074 1264 1 1264 1 1264
21027 00699 -01399 -02098 -00699 072 1267 1 1267 1 1267
21034 00709 -01475 -02184 -00765 071 1269 1 1269 1 1269
21041 00720 -01550 -02270 -00831 070 1271 1 1271 1 1271
21049 00730 -01626 -02356 -00896 069 1273 1 1273 1 1273
21056 00740 -01702 -02442 -00962 068 1275 1 1275 1 1275
21063 00750 -01777 -02527 -01027 066 1277 1 1277 1 1277
21071 00761 -01852 -02613 -01092 065 1280 1 1280 1 1280
21078 00771 -01927 -02699 -01156 064 1282 1 1282 1 1282
21085 00782 -02002 -02784 -01221 063 1284 1 1284 1 1284
21093 00792 -02077 -02869 -01285 062 1286 1 1286 1 1286
21100 00803 -02152 -02955 -01349 061 1288 1 1288 1 1288
21107 00813 -02227 -03040 -01413 060 1290 0 1290 1 1290
21115 00824 -02301 -03125 -01477 059 1293 0 1293 1 1293
21122 00835 -02376 -03210 -01541 058 1295 0 1295 1 1295
21129 00845 -02450 -03295 -01605 057 1297 0 1297 1 1297
21136 00856 -02524 -03380 -01668 056 1299 0 1299 1 1299
21143 00867 -02598 -03465 -01731 055 1301 0 1301 1 1301
21151 00878 -02672 -03550 -01794 054 1303 0 1303 1 1303
21158 00889 -02746 -03634 -01857 053 1306 0 1306 1 1306
21165 00900 -02819 -03719 -01920 052 1308 0 1308 1 1308
21172 00911 -02893 -03803 -01982 051 1310 0 1310 1 1310
21179 00921 -02966 -03888 -02045 051 1312 0 1312 1 1312
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
8482958466798 453198415509923
157762337339841 444223298518267
229919209664129 435463395651789
299317396308158 426912655401948
362939584809143 418565221258607
425182430469998 410415424632938
402457778065734
394686968708487
387097852065186
379685445983355
372444924883448
365371614216194
35846098513798
351708649394869
345110354406237
338661978539499
332359526567722
326199125302371
320177019393754
314289567292081
308533237362397
302904604146922
297400344768675
292017235470486
286752148283813
281602047821987
276563988192795
271635110025519
266812637607734
262093876127455
257476209016332
252957095389845
248534067580594
244204728760957
239966750651574
235817871312228
23175589301187
227778680174694
223884157399223
220070307547618
216335169902413
212676838388095
209093459855011
205583232423197
202144403883818
198775270156044
195474173797216
192239502564294
189069688024643
185963204214298
182918566341916
179934329536705
177009087638707
174141472029822
171330150504106
168573826175856
165871236424115
16322115187225
160622375401323
158073741196027
155574113821997
15312238733337
150717484409499
148358355519769
146043978115519
143773355848089
141545517812079
139359517812904
137214433657812
135109366469516
133043440021664
131015800095362
129025613856046
127072069249961
125154374419592
12327175713739
121423464257146
119608761182432
117826931351499
116077275738105
114359112367685
112671775848397
111014616916491
109387001995557
107788312769166
106217945766462
104675311960271
103159836377317
101670957720132
10020812800029
98770812182574
97358487839736
9597064481748
94606784909365
93266421541272
91949079465149
90654294461729
89381613051922
88130592216609
86900799124579
85691810868326
05 31976750428
1 31337340646
15 30711935499
2 30100201659
25 29501814358
3 28916457161
28343821727
27783607596
27235521965
26699279482
26174602045
25661218598
25158864946
24667283564
24186223417
23715439788
23254694103
22803753765
22362392
21930387691
21507525235
21093594389
20688390133
20291712524
19903366566
19523162079
19150913566
18786440095
18429565175
18080116642
1773792654
17402831016
1707467021
1675328815
16438532653
16130255221
15828310953
15532558443
15242859697
14959080039
14681088029
14408755377
14141956865
13880570262
13624476257
13373558376
13127702911
12886798854
12650737823
12419413998
12192724054
11970567102
11752844621
11539460405
11330320499
11125333147
10924408733
1072745973
10534400646
10345147975
10159620146
09977737475
0979942212
09624598031
09453190911
09285128169
0912033888
08958753741
08800305035
0864492659
0849255374
08343123292
08196573485
0805284396
07911875721
07773611107
07637993755
07504968573
07374481705
07246480503
071209135
06997730378
06876881942
06758320095
06641997808
06527869097
06415888997
06306013539
06198199726
06092405508
05988589762
0588671227
05786733694
05688615561
05592320238
05497810915
05405051585
05314007022
05224642769
05136925114
05050821079
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
POLYTEC results
vo [ms] 140 Regn intensitet 325 mmh droplet volume 00000000042
vi [ms] 110 droplet speed 6 ms droplet size 2 mm 2
r0-ri [m] 0225 mass 00000041888 kg 00000031416
omega [rads] 133 1000 2
rpm 1273 Tid Regnmaeligngde slid [mm] hastighed cinetic energy Hitsm2s failure at failure at power function failure failure at acc impact energy 3
rotor diam 21 [hrs] [min] [sec] [J] hitsm2 hitscm2 hitsm2 hits2 mm circle [Jcm2]
05 300 18000 163 66 131 00360517444 47128 85E+07 85E+03 858E+07 27E+02 31E+02
10 600 36000 325 135 122 00311729767 43823 16E+08 16E+04 168259557551256 50E+02 49E+02
15 900 54000 488 161 119 00294265677 42578 23E+08 23E+04 219739821326208 72E+02 68E+02
20 1200 72000 650 182 116 00280527562 41572 30E+08 30E+04 27418672140055 94E+02 84E+02
25 1500 90000 813 208 112 00263973463 40327 36E+08 36E+04 363370031336381 11E+03 96E+02
30 1800 108000 975 228 110 00251582091 39369 43E+08 43E+04 453968838852237 13E+03 11E+03
c= 17872
325 100 10 m= 463
percent of time hours pr year rain intensity rain rate fall speed droplet size droplet size rain relative volume 1 droplet volume dropletsm3 density mass blade tip speed cinetic energy hitsm2s hitsm2hr hitscm2s hitscm2hr power function impacts to failure hours to failure mm to failure fraction of life spent pr year fraction of life spent pr year reduced production
[hrsyear] [mmhr] ms ms [mm] m [-] [m3] [kgm3] kg [ms] [m-2hr-1] [cm-2s-1] [cm-2hr-1] [m-2] [hrs] []
002 1752 20 00000055556 6 25 00025 00000009259 00000000082 113 1000 00000081812 700 00200440156 7922 285E+07 07922379389 2852 130E+09 456E+01 912 0038 384 00000888889
01 876 10 00000027778 6 2 0002 0000000463 00000000042 111 1000 00000041888 800 00134041287 8842 318E+07 08841941283 3183 838E+09 263E+02 2632 0033 333 00001111111
1 876 5 00000013889 6 15 00015 00000002315 00000000018 131 1000 00000017671 900 00071569408 11789 424E+07 11789255044 4244 153E+11 361E+03 18029 0024 243 0
3 2628 2 00000005556 6 1 0001 00000000926 00000000005 177 1000 00000005236 900 0002120575 15915 573E+07 15915494309 5730 427E+13 746E+05 1491421 0000 004 0
5 438 1 00000002778 6 05 00005 00000000463 00000000001 707 1000 00000000654 900 00002650719 63662 229E+08 63661977237 22918 649E+17 283E+09 2830197826 0000 000 0
2 0002 1000 800 00134041287 sum fraction 0096 9637
rpm ms D rotor lifetime years 10377 10377
SWP 23-106 16 904778684234 108
6 339292006588 108
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
Page 4: On leading edge erosion at turbine blades due to heavy

DTU Wind Energy1 May 2019

Working hypothesis

4

DTU Wind Energy1 May 2019 5

DTU Wind Energy1 May 2019

Simulated power curves for the Vestas V52 for different leading edge roughness levels

6

0

100

200

300

400

500

600

700

800

900

3 5 7 9 11 13

Elec

trica

l pow

er [k

W]

Wind speed [ms]

Clean 20 of full LER 40 of full LER

60 of full LER 80 of full LER Full LER Bech et al 2018 WES

LER is leading edge roughness Roughness levels increase for eroded blade

DTU Wind Energy1 May 2019

Rain erosion test example

7

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Rain erosion test data plotted as a Woumlhler curve

8

Bech et al 2018 WES

D is drop sizevt is blade speed

Impacts per unit area to failure as function of the kinetic energy for each impact

DTU Wind Energy1 May 2019

Woumlhler curves for droplet diameters of 15 20 and 25 mm

9

RET is Rain Erosion Test

Bech et al 2018 WES

Chart1

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

life model polytech data

Jakob Ilsted Bechantaget
Jakob Ilsted Bechantaget
Jakob Ilsted Bechcinetic energy with diameter

life model polytech data

kinetic energy [J]
impactsm2
rain impact fatigue

impact fatigue V-N

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

impact fatigue (4)

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

fig 3

Fit
Time to removed coating [hrs]
Local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

fig 4

Fit
Impactsarea to removed coating [cm-2]
Kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig5 v-N

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

ASTM E739 stat (timespeed)

ASTM E739 stat (impactsenergy)

fig accu energ

Fit
accumulated imapct energy [Jcm-2]
kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig

Fit
impacts to erosion [cm-2]
local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

ASTM E739 stat (impactsacc en)

ASTM E739 stat (impactsspeed)

DTU Wind Energy1 May 2019

Extending lifetime

10

DTU Wind Energy1 May 2019

Assumptions

11

Bech et al 2018 WES

Weibull Abull 7 msbull 8 msbull 9 ms

Wind turbine Rain climate Wind climate

Vestas V52 850 kW pitch regulated variable speed and modified rotation speed to make it consistent with larger turbines

The temperate maritime climateof occurences of rain intensity is taken from Jones and Sims 1978

DTU Wind Energy1 May 2019

Control strategies

12

Apart from a reference case where it is assumed that there is no erosion six different control strate

on the model for expected lifetime for the blade leading edge

bull Control strategy 1 with expected life time of 16 years bull Control strategy 2 with expected life time of 104 years bull Control strategy 3 with expected life time of 244 years bull Control strategy 4 with expected life time of 539 years bull Control strategy 5 with expected life time of 1065 years bull Control strategy 6 with expected life time of infinite many years

No reduction (90 ms)

Reduction rdquolightrdquo 80 ms and 70 ms

Reduction rdquosevererdquo 55ms 65ms and 70ms

Idealized

Bech et al 2018 WES

DTU Wind Energy1 May 2019 13

Life time of the blade leading edge with no reduction of the tip speed Control strategy 1

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 90 35 51 10 20 01 88 90 79 11 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 64

Expected life [years] 16

Bech et al 2018 WES

DTU Wind Energy1 May 2019 14

Life time of the blade leading edge with reduction of the tip speed to 70ms and 80msControl strategy 2

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 70 46 38 10 20 01 88 80 263 33 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 96

Expected life [years] 104

Bech et al 2018 WES

DTU Wind Energy1 May 2019 15

Life time of the blade leading edge with reduction of the tip speed to 55ms 65ms and 70msControl strategy 5

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 55 541 03 10 20 01 88 65 2215 04 5 15 1 88 70 47514 02 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 09

Expected life [years] 107

Bech et al 2018 WES

DTU Wind Energy1 May 2019

AEP relative to AEP with no erosion

16

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019 17

bull Energy price o 50 euroMWh o 250 euroMWh

bull Inspection cost o 500 eurorotor o 1500 eurorotor

bull Repair cost o 10000 eurorotor o 20000 eurorotor

Stand still of 1 day inspected

Stand still of 2 days repaired

Cost of operation and maintenance

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Loss of income due to erosion inspection and repair

18

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019

In what geography is leading edge erosion a challenge

19

DTU Wind Energy1 May 2019

Rainfall erosivity (for soils)

20

Rainfall erosivity for soils is modelled as a function of the kinetic energy of rain the maximum intensity of rainfall the cumulative rainfall the soil properties and the slopes of terrain The map on rainfall erosivity in Europe at 500 m spatial resolution assessed by European Soil Data Centre (Panagos et al 2015)

A map for wind turbine blades is in preparation in the EROSION research project

Rainfall erosivity (for wind turbine blades)

DTU Wind Energy1 May 2019

Conclusions

21

A framework for prediction and a mitigation strategy for leading edge erosion was presented

The model takes into account the entire value chain leading edge test data actual on site precipitation erosion rate loss of production due to erosion operation and maintenance

The lost energy production due to occasional tip speed reduction is marginal in proportion to the alternative of lost production due to eroded blades

Thus the cost ndash benefit balance of erosion control looks very promising and shows a great potential for reducing the loss of produced energy due to erosion and the cost of operation and maintenance

To accomplish erosion control there is a need for more knowledge on the correlation between precipitation and erosion for different leading edge structures and materials and for development of methods and equipment for on-site now casting of precipitation

DTU Wind Energy1 May 2019

Reading

22

DTU Wind Energy1 May 2019

Acknowledgements

23

Support from Innovation Fund Denmark is acknowledged

wwwrain-erosiondk

  • Slide Number 1
  • Slide Number 2
  • Motivation
  • Working hypothesis
  • Slide Number 5
  • Simulated power curves for the Vestas V52 for different leading edge roughness levels
  • Rain erosion test example
  • Rain erosion test data plotted as a Woumlhler curve
  • Woumlhler curves for droplet diameters of 15 20 and 25 mm
  • Extending lifetime
  • Assumptions
  • Control strategies
  • Slide Number 13
  • Slide Number 14
  • Slide Number 15
  • AEP relative to AEP with no erosion
  • Cost of operation and maintenance
  • Loss of income due to erosion inspection and repair
  • In what geography is leading edge erosion a challenge
  • Rainfall erosivity (for soils)
  • Conclusions
  • Reading
  • Acknowledgements
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 84830 2118 3929 4486 15433 83204033354 SUMX 12432 2118 39329 20398 00719 46563 45844 47282 4531984 1096 38407 1096 53477 1096
122000 157762 2086 4198 4353 17623 87585455209 SUMY 26153 2086 42253 20407 00707 46484 45777 47191 4450115 1098 37815 1098 52370 1098 Regression Statistics
118533 229919 2074 4362 4301 19023 90452114031 SUMXX 25762 2074 43412 20415 00696 46405 45709 47100 4369882 1100 37232 1100 51289 1100 Multiple R 08824404681
115733 299317 2063 4476 4258 20036 92363123663 SUMYY 114332 2063 44373 20424 00684 46326 45642 47010 4291248 1102 36657 1102 50235 1102 R Square 07787011797
112267 362940 2050 4560 4204 20792 93488041277 SUMXY 54151 2050 45596 20432 00673 46247 45574 46920 4214179 1105 36092 1105 49205 1105 Adjusted R Square 07510388271
109600 425182 2040 4629 4161 21424 94414167683 SAKX 00039016342 2040 46563 20441 00662 46169 45507 46831 4138641 1107 35535 1107 48201 1107 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 235430 20449 00651 46090 45439 46741 4064600 1109 34987 1109 47220 1109 Observations 10
SAPXY -00361255109 0000 235430 20458 00640 46012 45372 46652 3992024 1111 34447 1111 46263 1111
XMEAN 20719423346 0000 235430 20466 00630 45934 45304 46564 3920881 1113 33915 1113 45329 1113 ANOVA
YMEAN 4359 0000 235430 20474 00620 45856 45236 46475 3851140 1115 33391 1115 44417 1115 df SS MS F Significance F
A1 -92590717384 -92591 -01080 0000 235430 20483 00609 45778 45169 46388 3782770 1118 32875 1118 43527 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 23543 3491729856497833400000000 1031E-218 0000 235430 20491 00600 45700 45101 46300 3715744 1120 32366 1120 42658 1120 Residual 8 1901803363282 23772542041
R2 0990 (X=349172985649783000000000Y^-009) 0000 235430 20500 00590 45623 45033 46213 3650030 1122 31864 1122 41811 1122 Total 9 8593825130074
T-VALUE 2776 0000 235430 20508 00580 45546 44965 46126 3585602 1124 31370 1124 40983 1124
F-VALUE 6940 0000 235430 20516 00571 45468 44897 46040 3522431 1126 30883 1126 40176 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 1305806455 -79532652834 -105648781934 0000 235430 20525 00562 45391 44829 45954 3460491 1128 30403 1128 39388 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 23510 23576 0000 235430 20533 00554 45314 44761 45868 3399756 1131 29929 1131 38619 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 235430 20541 00545 45238 44693 45783 3340200 1133 29462 1133 37869 1133
Xmax 1312 20549 00537 45161 44624 45698 3281797 1135 29001 1135 37137 1135
Variansanalysetabel 20558 00529 45085 44556 45614 3224524 1137 28547 1137 36423 1137
SAK f S2 F 20566 00521 45008 44487 45530 3168356 1139 28099 1139 35726 1139 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 20574 00514 44932 44418 45446 3113270 1141 27657 1141 35046 1141
Residual 0003 4 0001 20582 00507 44856 44349 45363 3059243 1144 27220 1144 34382 1144 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 20591 00501 44780 44280 45281 3006253 1146 26790 1146 33735 1146 1 649620085731 04744116959 01032033599
20599 00494 44705 44210 45199 2954278 1148 26365 1148 33104 1148 2 847353753756 81224337994 17669515023
20607 00488 44629 44141 45117 2903297 1150 25945 1150 32488 1150 3 723989604863 -37728515527 -08207448511
20615 00483 44553 44071 45036 2853289 1152 25531 1152 31888 1152 4 839679896083 35389412933 07698600923
N = 3492E+23 S^ -926 20623 00478 44478 44001 44956 2804234 1154 25122 1154 31302 1154 5 802495136516 -30746271321 -06688533467
20631 00473 44403 43930 44876 2756111 1156 24719 1156 30730 1156 6 781834750473 -45407034997 -0987783104
20639 00468 44328 43860 44796 2708902 1159 24320 1159 30173 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 44253 43789 44717 2662587 1161 23927 1161 29630 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 44178 43718 44639 2617147 1163 23538 1163 29100 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 44104 43646 44561 2572566 1165 23154 1165 28583 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 44029 43575 44484 2528824 1167 22775 1167 28079 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 43955 43503 44407 2485905 1169 22401 1169 27587 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 43881 43430 44331 2443791 1172 22031 1172 27107 1172
6 24469 514 20696 00449 43807 43358 44255 2402467 1174 21666 1174 26640 1174
7 23646 474 20704 00448 43733 43285 44180 2361915 1176 21306 1176 26184 1176
8 2306 446 20712 00447 43659 43212 44106 2322120 1178 20950 1178 25739 1178
9 22622 426 20720 00447 43585 43138 44032 2283067 1180 20599 1180 25305 1180
10 22281 41 20728 00447 43512 43065 43959 2244741 1182 20252 1182 24881 1182
11 2201 398 20736 00448 43438 42991 43886 2207126 1185 19909 1185 24468 1185
12 21788 289 20743 00449 43365 42916 43814 2170208 1187 19571 1187 24065 1187
13 21604 381 20751 00450 43292 42842 43742 2133973 1189 19238 1189 23671 1189
14 21448 374 20759 00452 43219 42767 43671 2098407 1191 18909 1191 23287 1191
15 21315 368 20767 00455 43146 42691 43601 2063496 1193 18584 1193 22912 1193
16 21199 363 20775 00457 43073 42616 43531 2029229 1195 18264 1195 22546 1195
17 21098 359 20783 00460 43001 42540 43461 1995590 1198 17949 1198 22188 1198
18 21009 355 20791 00464 42928 42464 43392 1962568 1200 17637 1200 21838 1200
19 2093 352 20798 00468 42856 42388 43324 1930151 1202 17331 1202 21497 1202
20 2086 349 20806 00472 42784 42312 43256 1898326 1204 17028 1204 21163 1204
21 20796 347 20814 00477 42712 42235 43188 1867081 1206 16730 1206 20836 1206
22 20739 344 20822 00482 42640 42158 43121 1836405 1208 16437 1208 20517 1208
23 2069 342 20830 00487 42568 42081 43055 1806286 1210 16148 1210 20205 1210
24 2064 34 20837 00492 42496 42004 42988 1776714 1213 15863 1213 19900 1213
25 206 339 20845 00498 42425 41927 42923 1747678 1215 15583 1215 19601 1215
26 2056 337 20853 00504 42353 41849 42857 1719166 1217 15307 1217 19308 1217
27 2052 335 20860 00511 42282 41771 42792 1691168 1219 15036 1219 19022 1219
28 2048 334 20868 00517 42211 41693 42728 1663675 1221 14769 1221 18741 1221
29 2045 333 20876 00524 42140 41615 42664 1636677 1223 14506 1223 18466 1223
30 2042 332 20883 00531 42069 41537 42600 1610163 1226 14247 1226 18197 1226
31 2021 323 20891 00539 41998 41459 42537 1584124 1228 13993 1228 17933 1228
40 2021 323 20899 00546 41927 41381 42473 1558550 1230 13743 1230 17675 1230
41 2 315 20906 00554 41857 41303 42411 1533434 1232 13498 1232 17421 1232
60 2 315 20914 00562 41786 41224 42348 1508765 1234 13256 1234 17172 1234
61 198 307 20922 00570 41716 41146 42286 1484535 1236 13019 1236 16928 1236
120 198 307 20929 00579 41646 41067 42224 1460735 1239 12785 1239 16689 1239
121 196 3 20937 00587 41576 40989 42163 1437358 1241 12556 1241 16454 1241
20944 00596 41506 40910 42101 1414394 1243 12331 1243 16223 1243
20952 00605 41436 40831 42040 1391836 1245 12110 1245 15997 1245
20959 00614 41366 40753 41980 1369676 1247 11892 1247 15775 1247
20967 00623 41297 40674 41919 1347906 1249 11679 1249 15557 1249
20974 00632 41227 40595 41859 1326519 1252 11469 1252 15343 1252
20982 00641 41158 40517 41799 1305508 1254 11263 1254 15132 1254
20989 00651 41089 40438 41739 1284864 1256 11061 1256 14925 1256
20997 00660 41019 40359 41680 1264582 1258 10862 1258 14722 1258
21004 00670 40950 40281 41620 1244654 1260 10667 1260 14522 1260
21012 00680 40882 40202 41561 1225073 1262 10476 1262 14326 1262
21019 00690 40813 40123 41502 1205832 1264 10288 1264 14133 1264
21027 00699 40744 40045 41444 1186927 1267 10104 1267 13943 1267
21034 00709 40676 39966 41385 1168348 1269 9923 1269 13757 1269
21041 00720 40607 39888 41327 1150092 1271 9745 1271 13573 1271
21049 00730 40539 39809 41269 1132151 1273 9570 1273 13393 1273
21056 00740 40471 39731 41211 1114520 1275 9399 1275 13216 1275
21063 00750 40403 39653 41153 1097192 1277 9231 1277 13041 1277
21071 00761 40335 39574 41096 1080163 1280 9066 1280 12869 1280
21078 00771 40267 39496 41038 1063425 1282 8904 1282 12700 1282
21085 00782 40199 39418 40981 1046975 1284 8745 1284 12534 1284
21093 00792 40132 39340 40924 1030806 1286 8589 1286 12370 1286
21100 00803 40064 39262 40867 1014914 1288 8436 1288 12209 1288
21107 00813 39997 39184 40810 999292 1290 8286 1290 12051 1290
21115 00824 39930 39106 40754 983936 1293 8139 1293 11895 1293
21122 00835 39863 39028 40697 968842 1295 7994 1295 11741 1295
21129 00845 39795 38950 40641 954003 1297 7853 1297 11590 1297
21136 00856 39729 38872 40585 939416 1299 7713 1299 11441 1299
21143 00867 39662 38795 40529 925076 1301 7577 1301 11295 1301
21151 00878 39595 38717 40473 910978 1303 7443 1303 11150 1303
21158 00889 39528 38640 40417 897117 1306 7311 1306 11008 1306
21165 00900 39462 38562 40362 883490 1308 7182 1308 10868 1308
21172 00911 39396 38485 40306 870092 1310 7055 1310 10730 1310
21179 00921 39329 38408 40251 856918 1312 6931 1312 10595 1312
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 3058 -1443 2485 2082 6178 -35867216599 SUMX -9210 -1443 24899 -15993 00719 30570 29851 31288 114017 00 966 00 1345 00
0031 4918 -1506 2692 2269 7246 -40544199354 SUMY 16942 -1506 27191 -15974 00706 30502 29796 31208 112243 00 954 00 1321 00 Regression Statistics
0029 6766 -1531 2830 2345 8011 -433394905 SUMXX 14154 -1531 28099 -15956 00693 30434 29740 31127 110504 00 942 00 1296 00 Multiple R 08824404681
0028 8397 -1552 2924 2409 8550 -45382863655 SUMYY 48049 -1552 28853 -15937 00681 30366 29685 31047 108799 00 930 00 1273 00 R Square 07787011797
0026 9581 -1578 2981 2491 8889 -47059517004 SUMXY -26064 -1578 29812 -15919 00669 30299 29630 30968 107127 00 918 00 1250 00 Adjusted R Square 07510388271
0025 10697 -1599 3029 2558 9176 -48447490003 SAKX 00156065368 -1599 30570 -15900 00657 30232 29575 30889 105489 00 907 00 1227 00 Standard Error 48757093885
SAKY (SAKtotal) 021 0000 -27478 -15882 00645 30165 29520 30811 103882 00 895 00 1205 00 Observations 10
SAPXY -0056644485 0000 -27478 -15864 00634 30099 29465 30733 102306 00 884 00 1184 00
XMEAN -15350567173 0000 -27478 -15845 00623 30033 29410 30655 100760 00 873 00 1163 00 ANOVA
YMEAN 2824 0000 -27478 -15827 00612 29967 29356 30579 99245 00 862 00 1143 00 df SS MS F Significance F
A1 -36295358692 -36295 -02755 0000 -27478 -15809 00601 29902 29301 30502 97758 00 851 00 1123 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 9404E+09 0000 -27478 -15791 00590 29836 29246 30427 96299 00 841 00 1103 00 Residual 8 1901803363282 23772542041
R2 0983 (X=00Y^-004) 0000 -27478 -15773 00580 29771 29191 30352 94868 00 830 00 1084 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 29706 29136 30277 93464 00 820 00 1066 00
F-VALUE 6940 0000 -27478 -15738 00561 29642 29081 30203 92087 00 809 00 1048 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -29766326417 -42824390967 0000 -27478 -15720 00552 29578 29026 30129 90735 00 799 00 1030 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 29514 28971 30057 89409 00 789 00 1013 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 29450 28916 29984 88107 00 779 00 996 00
Xmax 00360517444 -15667 00526 29387 28861 29913 86829 00 769 00 980 00
Variansanalysetabel -15650 00518 29323 28805 29842 85575 00 760 00 964 00
SAK f S2 F -15633 00511 29261 28750 29771 84343 00 750 00 949 00 RESIDUAL OUTPUT
Regress 02055931902 1 0206 23821 -15615 00503 29198 28694 29701 83135 00 740 00 934 00
Residual 0003 4 0001 -15598 00497 29135 28639 29632 81948 00 731 00 919 00 Observation Predicted Y Residuals Standard Residuals
Total 0209 5 -15581 00490 29073 28583 29563 80783 00 722 00 904 00 1 649620085731 04744116959 01032033599
-15564 00484 29011 28527 29496 79639 00 712 00 890 00 2 847353753756 81224337994 17669515023
-15547 00479 28950 28471 29428 78515 00 703 00 877 00 3 723989604863 -37728515527 -08207448511
-15530 00474 28888 28414 29362 77412 00 694 00 863 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -363 -15513 00469 28827 28358 29296 76328 00 685 00 850 00 5 802495136516 -30746271321 -06688533467
-15496 00465 28766 28301 29231 75264 00 676 00 838 00 6 781834750473 -45407034997 -0987783104
-15479 00461 28705 28244 29166 74218 00 667 00 825 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 28645 28187 29102 73191 00 659 00 813 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 28584 28130 29039 72182 00 650 00 801 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 28524 28072 28976 71190 00 642 00 790 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 28464 28014 28915 70216 00 633 00 779 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 28405 27956 28853 69259 00 625 00 768 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 28345 27898 28793 68319 00 616 00 757 00
6 24469 514 -15364 00447 28286 27839 28733 67394 00 608 00 747 00
7 23646 474 -15348 00447 28227 27780 28674 66486 00 600 00 737 00
8 2306 446 -15332 00447 28169 27721 28616 65593 00 592 00 727 00
9 22622 426 -15316 00448 28110 27662 28558 64715 00 584 00 717 00
10 22281 41 -15299 00449 28052 27603 28501 63853 00 576 00 708 00
11 2201 398 -15283 00451 27994 27543 28444 63005 00 568 00 699 00
12 21788 289 -15268 00453 27936 27483 28389 62171 00 560 00 690 00
13 21604 381 -15252 00455 27878 27423 28333 61351 00 552 00 681 00
14 21448 374 -15236 00458 27821 27363 28279 60545 00 545 00 673 00
15 21315 368 -15220 00461 27764 27302 28225 59752 00 537 00 664 00
16 21199 363 -15204 00465 27707 27242 28171 58973 00 530 00 656 00
17 21098 359 -15189 00469 27650 27181 28119 58207 00 523 00 648 00
18 21009 355 -15173 00473 27593 27120 28066 57453 00 515 00 641 00
19 2093 352 -15158 00478 27537 27059 28014 56711 00 508 00 633 00
20 2086 349 -15142 00483 27480 26998 27963 55982 00 501 00 626 00
21 20796 347 -15127 00488 27424 26936 27912 55265 00 494 00 618 00
22 20739 344 -15111 00494 27369 26875 27862 54559 00 487 00 611 00
23 2069 342 -15096 00499 27313 26814 27812 53865 00 480 00 604 00
24 2064 34 -15081 00506 27258 26752 27763 53182 00 473 00 597 00
25 206 339 -15065 00512 27202 26691 27714 52510 00 467 00 591 00
26 2056 337 -15050 00519 27147 26629 27666 51849 00 460 00 584 00
27 2052 335 -15035 00525 27093 26567 27618 51198 00 454 00 578 00
28 2048 334 -15020 00532 27038 26506 27570 50558 00 447 00 572 00
29 2045 333 -15005 00540 26983 26444 27523 49928 00 441 00 565 00
30 2042 332 -14990 00547 26929 26382 27476 49308 00 435 00 559 00
31 2021 323 -14975 00555 26875 26320 27430 48698 00 429 00 553 00
40 2021 323 -14960 00563 26821 26259 27384 48097 00 423 00 547 00
41 2 315 -14946 00571 26767 26197 27338 47506 00 417 00 542 00
60 2 315 -14931 00579 26714 26135 27293 46924 00 411 00 536 00
61 198 307 -14916 00587 26661 26074 27248 46351 00 405 00 531 00
120 198 307 -14902 00595 26607 26012 27203 45787 00 399 00 525 00
121 196 3 -14887 00604 26554 25951 27158 45232 00 394 00 520 00
-14872 00613 26502 25889 27114 44685 00 388 00 515 00
-14858 00621 26449 25828 27070 44147 00 383 00 509 00
-14843 00630 26397 25766 27027 43617 00 377 00 504 00
-14829 00639 26344 25705 26983 43095 00 372 00 499 00
-14815 00648 26292 25644 26940 42580 00 367 00 494 00
-14800 00657 26240 25583 26897 42074 00 362 00 489 00
-14786 00667 26188 25522 26855 41576 00 357 00 485 00
-14772 00676 26137 25461 26813 41084 00 352 00 480 00
-14758 00685 26085 25400 26771 40601 00 347 00 475 00
-14744 00695 26034 25339 26729 40124 00 342 00 471 00
-14729 00704 25983 25279 26687 39655 00 337 00 466 00
-14715 00714 25932 25218 26646 39192 00 333 00 462 00
-14701 00723 25881 25158 26604 38737 00 328 00 458 00
-14688 00733 25831 25098 26564 38288 00 323 00 453 00
-14674 00743 25780 25038 26523 37846 00 319 00 449 00
-14660 00752 25730 24978 26482 37410 00 315 00 445 00
-14646 00762 25680 24918 26442 36981 00 310 00 441 00
-14632 00772 25630 24858 26402 36558 00 306 00 437 00
-14618 00782 25580 24798 26362 36141 00 302 00 433 00
-14605 00792 25530 24739 26322 35730 00 298 00 429 00
-14591 00801 25481 24679 26282 35325 00 294 00 425 00
-14578 00811 25431 24620 26243 34926 00 290 00 421 00
-14564 00821 25382 24561 26204 34533 00 286 00 417 00
-14550 00831 25333 24502 26165 34145 00 282 00 413 00
-14537 00841 25284 24443 26126 33763 00 278 00 410 00
-14524 00851 25236 24384 26087 33386 00 274 00 406 00
-14510 00861 25187 24326 26048 33015 00 271 00 403 00
-14497 00871 25139 24267 26010 32648 00 267 00 399 00
-14484 00881 25090 24209 25972 32287 00 264 00 396 00
-14470 00891 25042 24151 25934 31932 00 260 00 392 00
-14457 00901 24994 24093 25896 31581 00 257 00 389 00
-14444 00911 24946 24035 25858 31235 00 253 00 385 00
-14431 00921 24899 23977 25820 30893 00 250 00 382 00
8482958466798 453198415510438
157762337339841 445011526968153
229919209664129 436988185343382
299317396308158 429124812025937
362939584809143 42141791349927
425182430469998 413864079156283
406459979175265
399202362454331
392088054602438
385113955985505
378277039825948
371574350354031
3650030010096
358560172692686
352243112061582
346049129876992
339975599390947
334019954779185
328179689615728
322452355388469
316835560054579
311326966634576
305924291843988
300625304761508
295427825532595
290329724107552
28532891901306
280423376156244
275611107660335
270890170731068
266258666552894
261714739214239
257256574660917
252882399676985
248590480892212
244379123815443
240246671893146
23619150559242
232212041507809
22830673149124
224474061804437
220712552293262
217020755583252
213397256295896
209840670285
206349643892635
202922853224091
199559003441363
196256828074617
193015088351196
189832572541652
186708095322343
183640497154179
180628643677042
177671425119486
174767755723285
171916573182442
16911683809627
166367533436157
16366766402567
161016256033615
158412356479738
155855032752697
153343372140009
150876481369642
148453486162936
146073530798571
143735777687276
141439406957002
139183616048281
136967619319522
134790647661941
132651948123926
130550783544548
128486432196003
126458187434752
12446535736111
122507264487102
120583245412343
118692650507738
116834843606817
115009201704496
113215114663065
111451984925241
10971922723408
10801626835959
106342546831866
10469751268058
103080627180672
101491362604075
99929201977326
98393638844908
96884177038201
95400330449854
93941622813496
92507587488613
91097767250473
89711714084978
88348988988316
87009161771285
85691810868186
3058254506667 11401660489024
4917921666667 11224254241385
6765733182963 11050353869471
8396677941728 10879875483775
9580641906173 10712737548677
1069682848 10548860806755
1038816820583
10230584828653
10076037825111
9924456346858
9775771484275
9629916205667
9486825298608
934643531335
9208684508213
9073512796881
8940861697535
8810674283738
8682895137025
8557470301108
8434347237659
8313474783592
8194803109801
8078283681286
796386921863
7851513660757
7741172128948
7632800892042
7526357332798
7421799915369
7319088153841
7218182581804
7119044722924
7021637062462
6925923019723
6831866921392
6739433975727
6648590247583
6559302634229
6471538841935
6385267363303
6300457455314
6217079118063
6135103074163
6054500748792
597524425036
5897306351775
5820660472292
5745280659917
5671141574349
559821847045
5526487182213
5455924107218
5386506191562
5318210915236
5251016277946
5184900785361
5119843435765
5055823707109
4992821544449
4930817347748
4869791960047
4809726655972
4750603130585
4692403488555
4635110233648
4578706258517
4523174834784
4468499603418
4414664565374
4361654072513
4309452818768
4258045831573
420741846352
4157556384267
410844557266
4060072309079
4012423168008
3965485010793
3919244978615
3873690485654
3828809212438
3784589099379
3741018340481
3698085377224
3655778892613
3614087805387
3573001264389
3532508643077
34925995342
3453263744596
3414491290147
3376272390858
3338597466066
3301457129784
326484218616
3228743625054
3193152617745
3158060512727
312345883164
3089339265284
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 84830 -1443 3929 2082 15433 -56691834105 SUMX -9210 -1443 39329 -15993 00719 46563 45844 47282 4531984 00 38407 00 53477 00
0031 157762 -1506 4198 2269 17623 -63231238203 SUMY 26153 -1506 42253 -15974 00706 46476 45770 47182 4442233 00 37758 00 52264 00 Regression Statistics
0029 229919 -1531 4362 2345 19023 -66787074357 SUMXX 14154 -1531 43412 -15956 00693 46390 45696 47083 4354634 00 37120 00 51085 00 Multiple R 08824404681
0028 299317 -1552 4476 2409 20036 -69470662987 SUMYY 114332 -1552 44373 -15937 00681 46303 45622 46984 4269127 00 36495 00 49939 00 R Square 07787011797
0026 362940 -1578 4560 2491 20792 -71974236821 SUMXY -40218 -1578 45596 -15919 00669 46218 45549 46886 4185652 00 35882 00 48826 00 Adjusted R Square 07510388271
0025 425182 -1599 4629 2558 21424 -74025743521 SAKX 00156065368 -1599 46563 -15900 00657 46132 45475 46789 4104154 00 35280 00 47743 00 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 -27478 -15882 00645 46047 45402 46692 4024578 00 34690 00 46692 00 Observations 10
SAPXY -00722510218 0000 -27478 -15864 00634 45963 45329 46596 3946870 00 34110 00 45670 00
XMEAN -15350567173 0000 -27478 -15845 00623 45878 45256 46501 3870979 00 33540 00 44676 00 ANOVA
YMEAN 4359 0000 -27478 -15827 00612 45794 45183 46406 3796854 00 32981 00 43710 00 df SS MS F Significance F
A1 -46295358692 -46295 -02160 0000 -27478 -15809 00601 45711 45110 46311 3724449 00 32432 00 42771 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 5262E+12 0000 -27478 -15791 00590 45627 45037 46218 3653716 00 31893 00 41858 00 Residual 8 1901803363282 23772542041
R2 0990 (X=00Y^-005) 0000 -27478 -15773 00580 45544 44964 46125 3584610 00 31362 00 40971 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 45462 44891 46032 3517086 00 30842 00 40108 00
F-VALUE 6940 0000 -27478 -15738 00561 45380 44819 45941 3451104 00 30330 00 39269 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -39766326417 -52824390967 0000 -27478 -15720 00552 45298 44746 45849 3386620 00 29826 00 38453 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 45216 44673 45759 3323595 00 29331 00 37660 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 45135 44601 45669 3261991 00 28844 00 36889 00
Xmax 00360517444 -15667 00526 45054 44528 45580 3201770 00 28366 00 36140 00
Variansanalysetabel -15650 00518 44973 44455 45491 3142896 00 27895 00 35411 00
SAK f S2 F -15633 00511 44893 44382 45404 3085332 00 27431 00 34702 00 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 -15615 00503 44813 44310 45316 3029046 00 26975 00 34013 00
Residual 0003 4 0001 -15598 00497 44733 44237 45230 2974003 00 26526 00 33343 00 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 -15581 00490 44654 44164 45144 2920172 00 26084 00 32692 00 1 649620085731 04744116959 01032033599
-15564 00484 44575 44091 45059 2867521 00 25649 00 32058 00 2 847353753756 81224337994 17669515023
-15547 00479 44496 44018 44975 2816020 00 25221 00 31442 00 3 723989604863 -37728515527 -08207448511
-15530 00474 44418 43944 44892 2765640 00 24799 00 30843 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -463 -15513 00469 44340 43871 44809 2716351 00 24383 00 30261 00 5 802495136516 -30746271321 -06688533467
-15496 00465 44262 43797 44727 2668126 00 23974 00 29694 00 6 781834750473 -45407034997 -0987783104
-15479 00461 44185 43724 44645 2620939 00 23571 00 29144 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 44107 43650 44565 2574762 00 23173 00 28608 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 44030 43576 44485 2529571 00 22782 00 28087 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 43954 43502 44406 2485341 00 22396 00 27581 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 43878 43427 44328 2442047 00 22016 00 27088 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 43802 43353 44250 2399668 00 21641 00 26608 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 43726 43278 44173 2358179 00 21272 00 26142 00
6 24469 514 -15364 00447 43650 43203 44097 2317559 00 20909 00 25688 00
7 23646 474 -15348 00447 43575 43128 44022 2277787 00 20551 00 25246 00
8 2306 446 -15332 00447 43500 43053 43947 2238842 00 20198 00 24816 00
9 22622 426 -15316 00448 43426 42978 43873 2200703 00 19851 00 24398 00
10 22281 41 -15299 00449 43351 42902 43800 2163352 00 19508 00 23990 00
11 2201 398 -15283 00451 43277 42827 43728 2126768 00 19171 00 23593 00
12 21788 289 -15268 00453 43203 42751 43656 2090935 00 18840 00 23207 00
13 21604 381 -15252 00455 43130 42675 43585 2055832 00 18513 00 22830 00
14 21448 374 -15236 00458 43057 42599 43515 2021444 00 18191 00 22463 00
15 21315 368 -15220 00461 42984 42522 43445 1987753 00 17875 00 22105 00
16 21199 363 -15204 00465 42911 42446 43376 1954742 00 17563 00 21756 00
17 21098 359 -15189 00469 42838 42370 43307 1922395 00 17257 00 21415 00
18 21009 355 -15173 00473 42766 42293 43239 1890697 00 16956 00 21083 00
19 2093 352 -15158 00478 42694 42217 43172 1859632 00 16659 00 20759 00
20 2086 349 -15142 00483 42623 42140 43105 1829186 00 16368 00 20442 00
21 20796 347 -15127 00488 42551 42063 43039 1799343 00 16081 00 20133 00
22 20739 344 -15111 00494 42480 41986 42974 1770091 00 15799 00 19831 00
23 2069 342 -15096 00499 42409 41910 42908 1741415 00 15522 00 19536 00
24 2064 34 -15081 00506 42338 41833 42844 1713302 00 15250 00 19248 00
25 206 339 -15065 00512 42268 41756 42780 1685738 00 14983 00 18966 00
26 2056 337 -15050 00519 42198 41679 42716 1658712 00 14720 00 18691 00
27 2052 335 -15035 00525 42128 41602 42653 1632212 00 14462 00 18421 00
28 2048 334 -15020 00532 42058 41526 42590 1606224 00 14209 00 18157 00
29 2045 333 -15005 00540 41989 41449 42528 1580737 00 13960 00 17899 00
30 2042 332 -14990 00547 41919 41372 42466 1555741 00 13716 00 17646 00
31 2021 323 -14975 00555 41850 41296 42405 1531224 00 13476 00 17399 00
40 2021 323 -14960 00563 41782 41219 42344 1507175 00 13241 00 17156 00
41 2 315 -14946 00571 41713 41143 42284 1483584 00 13009 00 16919 00
60 2 315 -14931 00579 41645 41066 42224 1460440 00 12783 00 16686 00
61 198 307 -14916 00587 41577 40990 42164 1437734 00 12560 00 16458 00
120 198 307 -14902 00595 41509 40914 42104 1415455 00 12341 00 16234 00
121 196 3 -14887 00604 41441 40838 42045 1393595 00 12127 00 16015 00
-14872 00613 41374 40761 41987 1372144 00 11916 00 15800 00
-14858 00621 41307 40686 41928 1351094 00 11710 00 15589 00
-14843 00630 41240 40610 41870 1330434 00 11507 00 15382 00
-14829 00639 41173 40534 41812 1310158 00 11309 00 15179 00
-14815 00648 41107 40459 41755 1290256 00 11114 00 14979 00
-14800 00657 41041 40383 41698 1270721 00 10922 00 14784 00
-14786 00667 40974 40308 41641 1251544 00 10735 00 14591 00
-14772 00676 40909 40233 41584 1232718 00 10551 00 14403 00
-14758 00685 40843 40158 41528 1214235 00 10370 00 14217 00
-14744 00695 40778 40083 41472 1196088 00 10193 00 14035 00
-14729 00704 40712 40008 41417 1178269 00 10019 00 13857 00
-14715 00714 40647 39934 41361 1160773 00 9849 00 13681 00
-14701 00723 40583 39859 41306 1143591 00 9682 00 13508 00
-14688 00733 40518 39785 41251 1126718 00 9518 00 13338 00
-14674 00743 40454 39711 41196 1110146 00 9357 00 13172 00
-14660 00752 40390 39637 41142 1093870 00 9199 00 13008 00
-14646 00762 40326 39564 41088 1077883 00 9044 00 12846 00
-14632 00772 40262 39490 41034 1062179 00 8892 00 12688 00
-14618 00782 40198 39417 40980 1046753 00 8743 00 12532 00
-14605 00792 40135 39344 40927 1031598 00 8597 00 12378 00
-14591 00801 40072 39271 40873 1016710 00 8454 00 12228 00
-14578 00811 40009 39198 40820 1002081 00 8313 00 12079 00
-14564 00821 39946 39125 40768 987708 00 8175 00 11933 00
-14550 00831 39884 39052 40715 973585 00 8040 00 11790 00
-14537 00841 39821 38980 40663 959706 00 7907 00 11648 00
-14524 00851 39759 38908 40610 946068 00 7777 00 11509 00
-14510 00861 39697 38836 40558 932664 00 7649 00 11372 00
-14497 00871 39635 38764 40507 919491 00 7524 00 11238 00
-14484 00881 39574 38693 40455 906543 00 7400 00 11105 00
-14470 00891 39512 38621 40404 893816 00 7280 00 10974 00
-14457 00901 39451 38550 40353 881306 00 7161 00 10846 00
-14444 00911 39390 38479 40302 869008 00 7045 00 10719 00
-14431 00921 39329 38408 40251 856918 00 6931 00 10595 00
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 05 2118 -0301 4486 0091 -06375616132 SUMX 12432 2118 -02966 20398 00719 05048 04330 05767 320 1096 3 1096 4 1096
122000 10 2086 0000 4353 0000 0 SUMY 1051 2086 00273 20407 00707 04961 04254 05668 313 1098 3 1098 4 1098 Regression Statistics
118533 15 2074 0176 4301 0031 03651851843 SUMXX 25762 2074 01557 20415 00696 04873 04177 05569 307 1100 3 1100 4 1100 Multiple R 08824404681
115733 20 2063 0301 4258 0091 06211628918 SUMYY 0598 2063 02622 20424 00684 04786 04101 05470 301 1102 3 1102 4 1102 R Square 07787011797
112267 25 2050 0398 4204 0158 08158768323 SUMXY 2138 2050 03977 20432 00673 04698 04025 05371 295 1105 3 1105 3 1105 Adjusted R Square 07510388271
109600 30 2040 0477 4161 0228 0973236971 SAKX 00039016342 2040 05048 20441 00662 04611 03949 05273 289 1107 2 1107 3 1107 Standard Error 48757093885
SAKY (SAKtotal) 041 0000 214314 20449 00651 04525 03873 05176 283 1109 2 1109 3 1109 Observations 10
SAPXY -00400271451 0000 214314 20458 00640 04438 03797 05078 278 1111 2 1111 3 1111
XMEAN 20719423346 0000 214314 20466 00630 04351 03721 04981 272 1113 2 1113 3 1113 ANOVA
YMEAN 0175 0000 214314 20474 00620 04265 03645 04885 267 1115 2 1115 3 1115 df SS MS F Significance F
A1 -102590717384 -102591 -00975 0000 214314 20483 00609 04179 03569 04788 262 1118 2 1118 3 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 21431 27002074746314896000000 1361E-220 0000 214314 20491 00600 04093 03493 04692 257 1120 2 1120 3 1120 Residual 8 1901803363282 23772542041
R2 0992 (X=2700207474631490000000Y^-010) 0000 214314 20500 00590 04007 03417 04597 252 1122 2 1122 3 1122 Total 9 8593825130074
T-VALUE 2776 0000 214314 20508 00580 03921 03341 04502 247 1124 2 1124 3 1124
F-VALUE 6940 0000 214314 20516 00571 03836 03264 04407 242 1126 2 1126 3 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 13058064549 -89532652835 -115648781933 0000 214314 20525 00562 03750 03188 04313 237 1128 2 1128 3 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 21398 21465 0000 214314 20533 00554 03665 03112 04219 233 1131 2 1131 3 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 214314 20541 00545 03580 03035 04125 228 1133 2 1133 3 1133
Xmax 1312 20549 00537 03495 02958 04032 224 1135 2 1135 3 1135
Variansanalysetabel 20558 00529 03410 02881 03940 219 1137 2 1137 2 1137
SAK f S2 F 20566 00521 03326 02804 03847 215 1139 2 1139 2 1139 RESIDUAL OUTPUT
Regress 04106413531 1 0411 47580 20574 00514 03242 02727 03756 211 1141 2 1141 2 1141
Residual 0003 4 0001 20582 00507 03157 02650 03664 207 1144 2 1144 2 1144 Observation Predicted Y Residuals Standard Residuals
Total 0414 5 20591 00501 03073 02573 03574 203 1146 2 1146 2 1146 1 649620085731 04744116959 01032033599
20599 00494 02989 02495 03484 199 1148 2 1148 2 1148 2 847353753756 81224337994 17669515023
20607 00488 02906 02417 03394 195 1150 2 1150 2 1150 3 723989604863 -37728515527 -08207448511
20615 00483 02822 02339 03305 192 1152 2 1152 2 1152 4 839679896083 35389412933 07698600923
N = 2700E+21 S^ -1026 20623 00478 02738 02261 03216 188 1154 2 1154 2 1154 5 802495136516 -30746271321 -06688533467
20631 00473 02655 02182 03128 184 1156 2 1156 2 1156 6 781834750473 -45407034997 -0987783104
20639 00468 02572 02104 03040 181 1159 2 1159 2 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 02489 02025 02953 177 1161 2 1161 2 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 02406 01946 02867 174 1163 2 1163 2 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 02324 01866 02781 171 1165 2 1165 2 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 02241 01786 02696 168 1167 2 1167 2 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 02159 01706 02611 164 1169 1 1169 2 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 02076 01626 02527 161 1172 1 1172 2 1172
6 24469 514 20696 00449 01994 01546 02443 158 1174 1 1174 2 1174
7 23646 474 20704 00448 01912 01465 02360 155 1176 1 1176 2 1176
8 2306 446 20712 00447 01831 01384 02278 152 1178 1 1178 2 1178
9 22622 426 20720 00447 01749 01302 02196 150 1180 1 1180 2 1180
10 22281 41 20728 00447 01668 01221 02115 147 1182 1 1182 2 1182
11 2201 398 20736 00448 01586 01139 02034 144 1185 1 1185 2 1185
12 21788 289 20743 00449 01505 01056 01954 141 1187 1 1187 2 1187
13 21604 381 20751 00450 01424 00974 01874 139 1189 1 1189 2 1189
14 21448 374 20759 00452 01343 00891 01795 136 1191 1 1191 2 1191
15 21315 368 20767 00455 01262 00808 01717 134 1193 1 1193 1 1193
16 21199 363 20775 00457 01182 00725 01639 131 1195 1 1195 1 1195
17 21098 359 20783 00460 01101 00641 01562 129 1198 1 1198 1 1198
18 21009 355 20791 00464 01021 00557 01485 127 1200 1 1200 1 1200
19 2093 352 20798 00468 00941 00473 01409 124 1202 1 1202 1 1202
20 2086 349 20806 00472 00861 00389 01333 122 1204 1 1204 1 1204
21 20796 347 20814 00477 00781 00305 01258 120 1206 1 1206 1 1206
22 20739 344 20822 00482 00701 00220 01183 118 1208 1 1208 1 1208
23 2069 342 20830 00487 00622 00135 01109 115 1210 1 1210 1 1210
24 2064 34 20837 00492 00542 00050 01035 113 1213 1 1213 1 1213
25 206 339 20845 00498 00463 -00035 00961 111 1215 1 1215 1 1215
26 2056 337 20853 00504 00384 -00120 00888 109 1217 1 1217 1 1217
27 2052 335 20860 00511 00305 -00206 00816 107 1219 1 1219 1 1219
28 2048 334 20868 00517 00226 -00291 00743 105 1221 1 1221 1 1221
29 2045 333 20876 00524 00147 -00377 00672 103 1223 1 1223 1 1223
30 2042 332 20883 00531 00069 -00463 00600 102 1226 1 1226 1 1226
31 2021 323 20891 00539 -00010 -00548 00529 100 1228 1 1228 1 1228
40 2021 323 20899 00546 -00088 -00634 00458 098 1230 1 1230 1 1230
41 2 315 20906 00554 -00166 -00720 00388 096 1232 1 1232 1 1232
60 2 315 20914 00562 -00244 -00806 00318 095 1234 1 1234 1 1234
61 198 307 20922 00570 -00322 -00892 00248 093 1236 1 1236 1 1236
120 198 307 20929 00579 -00400 -00978 00179 091 1239 1 1239 1 1239
121 196 3 20937 00587 -00478 -01065 00110 090 1241 1 1241 1 1241
20944 00596 -00555 -01151 00041 088 1243 1 1243 1 1243
20952 00605 -00632 -01237 -00028 086 1245 1 1245 1 1245
20959 00614 -00710 -01323 -00096 085 1247 1 1247 1 1247
20967 00623 -00787 -01409 -00164 083 1249 1 1249 1 1249
20974 00632 -00864 -01496 -00232 082 1252 1 1252 1 1252
20982 00641 -00941 -01582 -00299 081 1254 1 1254 1 1254
20989 00651 -01017 -01668 -00367 079 1256 1 1256 1 1256
20997 00660 -01094 -01754 -00434 078 1258 1 1258 1 1258
21004 00670 -01170 -01840 -00500 076 1260 1 1260 1 1260
21012 00680 -01247 -01926 -00567 075 1262 1 1262 1 1262
21019 00690 -01323 -02012 -00633 074 1264 1 1264 1 1264
21027 00699 -01399 -02098 -00699 072 1267 1 1267 1 1267
21034 00709 -01475 -02184 -00765 071 1269 1 1269 1 1269
21041 00720 -01550 -02270 -00831 070 1271 1 1271 1 1271
21049 00730 -01626 -02356 -00896 069 1273 1 1273 1 1273
21056 00740 -01702 -02442 -00962 068 1275 1 1275 1 1275
21063 00750 -01777 -02527 -01027 066 1277 1 1277 1 1277
21071 00761 -01852 -02613 -01092 065 1280 1 1280 1 1280
21078 00771 -01927 -02699 -01156 064 1282 1 1282 1 1282
21085 00782 -02002 -02784 -01221 063 1284 1 1284 1 1284
21093 00792 -02077 -02869 -01285 062 1286 1 1286 1 1286
21100 00803 -02152 -02955 -01349 061 1288 1 1288 1 1288
21107 00813 -02227 -03040 -01413 060 1290 0 1290 1 1290
21115 00824 -02301 -03125 -01477 059 1293 0 1293 1 1293
21122 00835 -02376 -03210 -01541 058 1295 0 1295 1 1295
21129 00845 -02450 -03295 -01605 057 1297 0 1297 1 1297
21136 00856 -02524 -03380 -01668 056 1299 0 1299 1 1299
21143 00867 -02598 -03465 -01731 055 1301 0 1301 1 1301
21151 00878 -02672 -03550 -01794 054 1303 0 1303 1 1303
21158 00889 -02746 -03634 -01857 053 1306 0 1306 1 1306
21165 00900 -02819 -03719 -01920 052 1308 0 1308 1 1308
21172 00911 -02893 -03803 -01982 051 1310 0 1310 1 1310
21179 00921 -02966 -03888 -02045 051 1312 0 1312 1 1312
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
8482958466798 453198415509923
157762337339841 444223298518267
229919209664129 435463395651789
299317396308158 426912655401948
362939584809143 418565221258607
425182430469998 410415424632938
402457778065734
394686968708487
387097852065186
379685445983355
372444924883448
365371614216194
35846098513798
351708649394869
345110354406237
338661978539499
332359526567722
326199125302371
320177019393754
314289567292081
308533237362397
302904604146922
297400344768675
292017235470486
286752148283813
281602047821987
276563988192795
271635110025519
266812637607734
262093876127455
257476209016332
252957095389845
248534067580594
244204728760957
239966750651574
235817871312228
23175589301187
227778680174694
223884157399223
220070307547618
216335169902413
212676838388095
209093459855011
205583232423197
202144403883818
198775270156044
195474173797216
192239502564294
189069688024643
185963204214298
182918566341916
179934329536705
177009087638707
174141472029822
171330150504106
168573826175856
165871236424115
16322115187225
160622375401323
158073741196027
155574113821997
15312238733337
150717484409499
148358355519769
146043978115519
143773355848089
141545517812079
139359517812904
137214433657812
135109366469516
133043440021664
131015800095362
129025613856046
127072069249961
125154374419592
12327175713739
121423464257146
119608761182432
117826931351499
116077275738105
114359112367685
112671775848397
111014616916491
109387001995557
107788312769166
106217945766462
104675311960271
103159836377317
101670957720132
10020812800029
98770812182574
97358487839736
9597064481748
94606784909365
93266421541272
91949079465149
90654294461729
89381613051922
88130592216609
86900799124579
85691810868326
05 31976750428
1 31337340646
15 30711935499
2 30100201659
25 29501814358
3 28916457161
28343821727
27783607596
27235521965
26699279482
26174602045
25661218598
25158864946
24667283564
24186223417
23715439788
23254694103
22803753765
22362392
21930387691
21507525235
21093594389
20688390133
20291712524
19903366566
19523162079
19150913566
18786440095
18429565175
18080116642
1773792654
17402831016
1707467021
1675328815
16438532653
16130255221
15828310953
15532558443
15242859697
14959080039
14681088029
14408755377
14141956865
13880570262
13624476257
13373558376
13127702911
12886798854
12650737823
12419413998
12192724054
11970567102
11752844621
11539460405
11330320499
11125333147
10924408733
1072745973
10534400646
10345147975
10159620146
09977737475
0979942212
09624598031
09453190911
09285128169
0912033888
08958753741
08800305035
0864492659
0849255374
08343123292
08196573485
0805284396
07911875721
07773611107
07637993755
07504968573
07374481705
07246480503
071209135
06997730378
06876881942
06758320095
06641997808
06527869097
06415888997
06306013539
06198199726
06092405508
05988589762
0588671227
05786733694
05688615561
05592320238
05497810915
05405051585
05314007022
05224642769
05136925114
05050821079
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
POLYTEC results
vo [ms] 140 Regn intensitet 325 mmh droplet volume 00000000042
vi [ms] 110 droplet speed 6 ms droplet size 2 mm 2
r0-ri [m] 0225 mass 00000041888 kg 00000031416
omega [rads] 133 1000 2
rpm 1273 Tid Regnmaeligngde slid [mm] hastighed cinetic energy Hitsm2s failure at failure at power function failure failure at acc impact energy 3
rotor diam 21 [hrs] [min] [sec] [J] hitsm2 hitscm2 hitsm2 hits2 mm circle [Jcm2]
05 300 18000 163 66 131 00360517444 47128 85E+07 85E+03 858E+07 27E+02 31E+02
10 600 36000 325 135 122 00311729767 43823 16E+08 16E+04 168259557551256 50E+02 49E+02
15 900 54000 488 161 119 00294265677 42578 23E+08 23E+04 219739821326208 72E+02 68E+02
20 1200 72000 650 182 116 00280527562 41572 30E+08 30E+04 27418672140055 94E+02 84E+02
25 1500 90000 813 208 112 00263973463 40327 36E+08 36E+04 363370031336381 11E+03 96E+02
30 1800 108000 975 228 110 00251582091 39369 43E+08 43E+04 453968838852237 13E+03 11E+03
c= 17872
325 100 10 m= 463
percent of time hours pr year rain intensity rain rate fall speed droplet size droplet size rain relative volume 1 droplet volume dropletsm3 density mass blade tip speed cinetic energy hitsm2s hitsm2hr hitscm2s hitscm2hr power function impacts to failure hours to failure mm to failure fraction of life spent pr year fraction of life spent pr year reduced production
[hrsyear] [mmhr] ms ms [mm] m [-] [m3] [kgm3] kg [ms] [m-2hr-1] [cm-2s-1] [cm-2hr-1] [m-2] [hrs] []
002 1752 20 00000055556 6 25 00025 00000009259 00000000082 113 1000 00000081812 700 00200440156 7922 285E+07 07922379389 2852 130E+09 456E+01 912 0038 384 00000888889
01 876 10 00000027778 6 2 0002 0000000463 00000000042 111 1000 00000041888 800 00134041287 8842 318E+07 08841941283 3183 838E+09 263E+02 2632 0033 333 00001111111
1 876 5 00000013889 6 15 00015 00000002315 00000000018 131 1000 00000017671 900 00071569408 11789 424E+07 11789255044 4244 153E+11 361E+03 18029 0024 243 0
3 2628 2 00000005556 6 1 0001 00000000926 00000000005 177 1000 00000005236 900 0002120575 15915 573E+07 15915494309 5730 427E+13 746E+05 1491421 0000 004 0
5 438 1 00000002778 6 05 00005 00000000463 00000000001 707 1000 00000000654 900 00002650719 63662 229E+08 63661977237 22918 649E+17 283E+09 2830197826 0000 000 0
2 0002 1000 800 00134041287 sum fraction 0096 9637
rpm ms D rotor lifetime years 10377 10377
SWP 23-106 16 904778684234 108
6 339292006588 108
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
Page 5: On leading edge erosion at turbine blades due to heavy

DTU Wind Energy1 May 2019 5

DTU Wind Energy1 May 2019

Simulated power curves for the Vestas V52 for different leading edge roughness levels

6

0

100

200

300

400

500

600

700

800

900

3 5 7 9 11 13

Elec

trica

l pow

er [k

W]

Wind speed [ms]

Clean 20 of full LER 40 of full LER

60 of full LER 80 of full LER Full LER Bech et al 2018 WES

LER is leading edge roughness Roughness levels increase for eroded blade

DTU Wind Energy1 May 2019

Rain erosion test example

7

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Rain erosion test data plotted as a Woumlhler curve

8

Bech et al 2018 WES

D is drop sizevt is blade speed

Impacts per unit area to failure as function of the kinetic energy for each impact

DTU Wind Energy1 May 2019

Woumlhler curves for droplet diameters of 15 20 and 25 mm

9

RET is Rain Erosion Test

Bech et al 2018 WES

Chart1

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

life model polytech data

Jakob Ilsted Bechantaget
Jakob Ilsted Bechantaget
Jakob Ilsted Bechcinetic energy with diameter

life model polytech data

kinetic energy [J]
impactsm2
rain impact fatigue

impact fatigue V-N

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

impact fatigue (4)

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

fig 3

Fit
Time to removed coating [hrs]
Local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

fig 4

Fit
Impactsarea to removed coating [cm-2]
Kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig5 v-N

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

ASTM E739 stat (timespeed)

ASTM E739 stat (impactsenergy)

fig accu energ

Fit
accumulated imapct energy [Jcm-2]
kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig

Fit
impacts to erosion [cm-2]
local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

ASTM E739 stat (impactsacc en)

ASTM E739 stat (impactsspeed)

DTU Wind Energy1 May 2019

Extending lifetime

10

DTU Wind Energy1 May 2019

Assumptions

11

Bech et al 2018 WES

Weibull Abull 7 msbull 8 msbull 9 ms

Wind turbine Rain climate Wind climate

Vestas V52 850 kW pitch regulated variable speed and modified rotation speed to make it consistent with larger turbines

The temperate maritime climateof occurences of rain intensity is taken from Jones and Sims 1978

DTU Wind Energy1 May 2019

Control strategies

12

Apart from a reference case where it is assumed that there is no erosion six different control strate

on the model for expected lifetime for the blade leading edge

bull Control strategy 1 with expected life time of 16 years bull Control strategy 2 with expected life time of 104 years bull Control strategy 3 with expected life time of 244 years bull Control strategy 4 with expected life time of 539 years bull Control strategy 5 with expected life time of 1065 years bull Control strategy 6 with expected life time of infinite many years

No reduction (90 ms)

Reduction rdquolightrdquo 80 ms and 70 ms

Reduction rdquosevererdquo 55ms 65ms and 70ms

Idealized

Bech et al 2018 WES

DTU Wind Energy1 May 2019 13

Life time of the blade leading edge with no reduction of the tip speed Control strategy 1

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 90 35 51 10 20 01 88 90 79 11 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 64

Expected life [years] 16

Bech et al 2018 WES

DTU Wind Energy1 May 2019 14

Life time of the blade leading edge with reduction of the tip speed to 70ms and 80msControl strategy 2

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 70 46 38 10 20 01 88 80 263 33 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 96

Expected life [years] 104

Bech et al 2018 WES

DTU Wind Energy1 May 2019 15

Life time of the blade leading edge with reduction of the tip speed to 55ms 65ms and 70msControl strategy 5

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 55 541 03 10 20 01 88 65 2215 04 5 15 1 88 70 47514 02 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 09

Expected life [years] 107

Bech et al 2018 WES

DTU Wind Energy1 May 2019

AEP relative to AEP with no erosion

16

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019 17

bull Energy price o 50 euroMWh o 250 euroMWh

bull Inspection cost o 500 eurorotor o 1500 eurorotor

bull Repair cost o 10000 eurorotor o 20000 eurorotor

Stand still of 1 day inspected

Stand still of 2 days repaired

Cost of operation and maintenance

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Loss of income due to erosion inspection and repair

18

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019

In what geography is leading edge erosion a challenge

19

DTU Wind Energy1 May 2019

Rainfall erosivity (for soils)

20

Rainfall erosivity for soils is modelled as a function of the kinetic energy of rain the maximum intensity of rainfall the cumulative rainfall the soil properties and the slopes of terrain The map on rainfall erosivity in Europe at 500 m spatial resolution assessed by European Soil Data Centre (Panagos et al 2015)

A map for wind turbine blades is in preparation in the EROSION research project

Rainfall erosivity (for wind turbine blades)

DTU Wind Energy1 May 2019

Conclusions

21

A framework for prediction and a mitigation strategy for leading edge erosion was presented

The model takes into account the entire value chain leading edge test data actual on site precipitation erosion rate loss of production due to erosion operation and maintenance

The lost energy production due to occasional tip speed reduction is marginal in proportion to the alternative of lost production due to eroded blades

Thus the cost ndash benefit balance of erosion control looks very promising and shows a great potential for reducing the loss of produced energy due to erosion and the cost of operation and maintenance

To accomplish erosion control there is a need for more knowledge on the correlation between precipitation and erosion for different leading edge structures and materials and for development of methods and equipment for on-site now casting of precipitation

DTU Wind Energy1 May 2019

Reading

22

DTU Wind Energy1 May 2019

Acknowledgements

23

Support from Innovation Fund Denmark is acknowledged

wwwrain-erosiondk

  • Slide Number 1
  • Slide Number 2
  • Motivation
  • Working hypothesis
  • Slide Number 5
  • Simulated power curves for the Vestas V52 for different leading edge roughness levels
  • Rain erosion test example
  • Rain erosion test data plotted as a Woumlhler curve
  • Woumlhler curves for droplet diameters of 15 20 and 25 mm
  • Extending lifetime
  • Assumptions
  • Control strategies
  • Slide Number 13
  • Slide Number 14
  • Slide Number 15
  • AEP relative to AEP with no erosion
  • Cost of operation and maintenance
  • Loss of income due to erosion inspection and repair
  • In what geography is leading edge erosion a challenge
  • Rainfall erosivity (for soils)
  • Conclusions
  • Reading
  • Acknowledgements
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 84830 2118 3929 4486 15433 83204033354 SUMX 12432 2118 39329 20398 00719 46563 45844 47282 4531984 1096 38407 1096 53477 1096
122000 157762 2086 4198 4353 17623 87585455209 SUMY 26153 2086 42253 20407 00707 46484 45777 47191 4450115 1098 37815 1098 52370 1098 Regression Statistics
118533 229919 2074 4362 4301 19023 90452114031 SUMXX 25762 2074 43412 20415 00696 46405 45709 47100 4369882 1100 37232 1100 51289 1100 Multiple R 08824404681
115733 299317 2063 4476 4258 20036 92363123663 SUMYY 114332 2063 44373 20424 00684 46326 45642 47010 4291248 1102 36657 1102 50235 1102 R Square 07787011797
112267 362940 2050 4560 4204 20792 93488041277 SUMXY 54151 2050 45596 20432 00673 46247 45574 46920 4214179 1105 36092 1105 49205 1105 Adjusted R Square 07510388271
109600 425182 2040 4629 4161 21424 94414167683 SAKX 00039016342 2040 46563 20441 00662 46169 45507 46831 4138641 1107 35535 1107 48201 1107 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 235430 20449 00651 46090 45439 46741 4064600 1109 34987 1109 47220 1109 Observations 10
SAPXY -00361255109 0000 235430 20458 00640 46012 45372 46652 3992024 1111 34447 1111 46263 1111
XMEAN 20719423346 0000 235430 20466 00630 45934 45304 46564 3920881 1113 33915 1113 45329 1113 ANOVA
YMEAN 4359 0000 235430 20474 00620 45856 45236 46475 3851140 1115 33391 1115 44417 1115 df SS MS F Significance F
A1 -92590717384 -92591 -01080 0000 235430 20483 00609 45778 45169 46388 3782770 1118 32875 1118 43527 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 23543 3491729856497833400000000 1031E-218 0000 235430 20491 00600 45700 45101 46300 3715744 1120 32366 1120 42658 1120 Residual 8 1901803363282 23772542041
R2 0990 (X=349172985649783000000000Y^-009) 0000 235430 20500 00590 45623 45033 46213 3650030 1122 31864 1122 41811 1122 Total 9 8593825130074
T-VALUE 2776 0000 235430 20508 00580 45546 44965 46126 3585602 1124 31370 1124 40983 1124
F-VALUE 6940 0000 235430 20516 00571 45468 44897 46040 3522431 1126 30883 1126 40176 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 1305806455 -79532652834 -105648781934 0000 235430 20525 00562 45391 44829 45954 3460491 1128 30403 1128 39388 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 23510 23576 0000 235430 20533 00554 45314 44761 45868 3399756 1131 29929 1131 38619 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 235430 20541 00545 45238 44693 45783 3340200 1133 29462 1133 37869 1133
Xmax 1312 20549 00537 45161 44624 45698 3281797 1135 29001 1135 37137 1135
Variansanalysetabel 20558 00529 45085 44556 45614 3224524 1137 28547 1137 36423 1137
SAK f S2 F 20566 00521 45008 44487 45530 3168356 1139 28099 1139 35726 1139 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 20574 00514 44932 44418 45446 3113270 1141 27657 1141 35046 1141
Residual 0003 4 0001 20582 00507 44856 44349 45363 3059243 1144 27220 1144 34382 1144 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 20591 00501 44780 44280 45281 3006253 1146 26790 1146 33735 1146 1 649620085731 04744116959 01032033599
20599 00494 44705 44210 45199 2954278 1148 26365 1148 33104 1148 2 847353753756 81224337994 17669515023
20607 00488 44629 44141 45117 2903297 1150 25945 1150 32488 1150 3 723989604863 -37728515527 -08207448511
20615 00483 44553 44071 45036 2853289 1152 25531 1152 31888 1152 4 839679896083 35389412933 07698600923
N = 3492E+23 S^ -926 20623 00478 44478 44001 44956 2804234 1154 25122 1154 31302 1154 5 802495136516 -30746271321 -06688533467
20631 00473 44403 43930 44876 2756111 1156 24719 1156 30730 1156 6 781834750473 -45407034997 -0987783104
20639 00468 44328 43860 44796 2708902 1159 24320 1159 30173 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 44253 43789 44717 2662587 1161 23927 1161 29630 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 44178 43718 44639 2617147 1163 23538 1163 29100 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 44104 43646 44561 2572566 1165 23154 1165 28583 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 44029 43575 44484 2528824 1167 22775 1167 28079 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 43955 43503 44407 2485905 1169 22401 1169 27587 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 43881 43430 44331 2443791 1172 22031 1172 27107 1172
6 24469 514 20696 00449 43807 43358 44255 2402467 1174 21666 1174 26640 1174
7 23646 474 20704 00448 43733 43285 44180 2361915 1176 21306 1176 26184 1176
8 2306 446 20712 00447 43659 43212 44106 2322120 1178 20950 1178 25739 1178
9 22622 426 20720 00447 43585 43138 44032 2283067 1180 20599 1180 25305 1180
10 22281 41 20728 00447 43512 43065 43959 2244741 1182 20252 1182 24881 1182
11 2201 398 20736 00448 43438 42991 43886 2207126 1185 19909 1185 24468 1185
12 21788 289 20743 00449 43365 42916 43814 2170208 1187 19571 1187 24065 1187
13 21604 381 20751 00450 43292 42842 43742 2133973 1189 19238 1189 23671 1189
14 21448 374 20759 00452 43219 42767 43671 2098407 1191 18909 1191 23287 1191
15 21315 368 20767 00455 43146 42691 43601 2063496 1193 18584 1193 22912 1193
16 21199 363 20775 00457 43073 42616 43531 2029229 1195 18264 1195 22546 1195
17 21098 359 20783 00460 43001 42540 43461 1995590 1198 17949 1198 22188 1198
18 21009 355 20791 00464 42928 42464 43392 1962568 1200 17637 1200 21838 1200
19 2093 352 20798 00468 42856 42388 43324 1930151 1202 17331 1202 21497 1202
20 2086 349 20806 00472 42784 42312 43256 1898326 1204 17028 1204 21163 1204
21 20796 347 20814 00477 42712 42235 43188 1867081 1206 16730 1206 20836 1206
22 20739 344 20822 00482 42640 42158 43121 1836405 1208 16437 1208 20517 1208
23 2069 342 20830 00487 42568 42081 43055 1806286 1210 16148 1210 20205 1210
24 2064 34 20837 00492 42496 42004 42988 1776714 1213 15863 1213 19900 1213
25 206 339 20845 00498 42425 41927 42923 1747678 1215 15583 1215 19601 1215
26 2056 337 20853 00504 42353 41849 42857 1719166 1217 15307 1217 19308 1217
27 2052 335 20860 00511 42282 41771 42792 1691168 1219 15036 1219 19022 1219
28 2048 334 20868 00517 42211 41693 42728 1663675 1221 14769 1221 18741 1221
29 2045 333 20876 00524 42140 41615 42664 1636677 1223 14506 1223 18466 1223
30 2042 332 20883 00531 42069 41537 42600 1610163 1226 14247 1226 18197 1226
31 2021 323 20891 00539 41998 41459 42537 1584124 1228 13993 1228 17933 1228
40 2021 323 20899 00546 41927 41381 42473 1558550 1230 13743 1230 17675 1230
41 2 315 20906 00554 41857 41303 42411 1533434 1232 13498 1232 17421 1232
60 2 315 20914 00562 41786 41224 42348 1508765 1234 13256 1234 17172 1234
61 198 307 20922 00570 41716 41146 42286 1484535 1236 13019 1236 16928 1236
120 198 307 20929 00579 41646 41067 42224 1460735 1239 12785 1239 16689 1239
121 196 3 20937 00587 41576 40989 42163 1437358 1241 12556 1241 16454 1241
20944 00596 41506 40910 42101 1414394 1243 12331 1243 16223 1243
20952 00605 41436 40831 42040 1391836 1245 12110 1245 15997 1245
20959 00614 41366 40753 41980 1369676 1247 11892 1247 15775 1247
20967 00623 41297 40674 41919 1347906 1249 11679 1249 15557 1249
20974 00632 41227 40595 41859 1326519 1252 11469 1252 15343 1252
20982 00641 41158 40517 41799 1305508 1254 11263 1254 15132 1254
20989 00651 41089 40438 41739 1284864 1256 11061 1256 14925 1256
20997 00660 41019 40359 41680 1264582 1258 10862 1258 14722 1258
21004 00670 40950 40281 41620 1244654 1260 10667 1260 14522 1260
21012 00680 40882 40202 41561 1225073 1262 10476 1262 14326 1262
21019 00690 40813 40123 41502 1205832 1264 10288 1264 14133 1264
21027 00699 40744 40045 41444 1186927 1267 10104 1267 13943 1267
21034 00709 40676 39966 41385 1168348 1269 9923 1269 13757 1269
21041 00720 40607 39888 41327 1150092 1271 9745 1271 13573 1271
21049 00730 40539 39809 41269 1132151 1273 9570 1273 13393 1273
21056 00740 40471 39731 41211 1114520 1275 9399 1275 13216 1275
21063 00750 40403 39653 41153 1097192 1277 9231 1277 13041 1277
21071 00761 40335 39574 41096 1080163 1280 9066 1280 12869 1280
21078 00771 40267 39496 41038 1063425 1282 8904 1282 12700 1282
21085 00782 40199 39418 40981 1046975 1284 8745 1284 12534 1284
21093 00792 40132 39340 40924 1030806 1286 8589 1286 12370 1286
21100 00803 40064 39262 40867 1014914 1288 8436 1288 12209 1288
21107 00813 39997 39184 40810 999292 1290 8286 1290 12051 1290
21115 00824 39930 39106 40754 983936 1293 8139 1293 11895 1293
21122 00835 39863 39028 40697 968842 1295 7994 1295 11741 1295
21129 00845 39795 38950 40641 954003 1297 7853 1297 11590 1297
21136 00856 39729 38872 40585 939416 1299 7713 1299 11441 1299
21143 00867 39662 38795 40529 925076 1301 7577 1301 11295 1301
21151 00878 39595 38717 40473 910978 1303 7443 1303 11150 1303
21158 00889 39528 38640 40417 897117 1306 7311 1306 11008 1306
21165 00900 39462 38562 40362 883490 1308 7182 1308 10868 1308
21172 00911 39396 38485 40306 870092 1310 7055 1310 10730 1310
21179 00921 39329 38408 40251 856918 1312 6931 1312 10595 1312
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 3058 -1443 2485 2082 6178 -35867216599 SUMX -9210 -1443 24899 -15993 00719 30570 29851 31288 114017 00 966 00 1345 00
0031 4918 -1506 2692 2269 7246 -40544199354 SUMY 16942 -1506 27191 -15974 00706 30502 29796 31208 112243 00 954 00 1321 00 Regression Statistics
0029 6766 -1531 2830 2345 8011 -433394905 SUMXX 14154 -1531 28099 -15956 00693 30434 29740 31127 110504 00 942 00 1296 00 Multiple R 08824404681
0028 8397 -1552 2924 2409 8550 -45382863655 SUMYY 48049 -1552 28853 -15937 00681 30366 29685 31047 108799 00 930 00 1273 00 R Square 07787011797
0026 9581 -1578 2981 2491 8889 -47059517004 SUMXY -26064 -1578 29812 -15919 00669 30299 29630 30968 107127 00 918 00 1250 00 Adjusted R Square 07510388271
0025 10697 -1599 3029 2558 9176 -48447490003 SAKX 00156065368 -1599 30570 -15900 00657 30232 29575 30889 105489 00 907 00 1227 00 Standard Error 48757093885
SAKY (SAKtotal) 021 0000 -27478 -15882 00645 30165 29520 30811 103882 00 895 00 1205 00 Observations 10
SAPXY -0056644485 0000 -27478 -15864 00634 30099 29465 30733 102306 00 884 00 1184 00
XMEAN -15350567173 0000 -27478 -15845 00623 30033 29410 30655 100760 00 873 00 1163 00 ANOVA
YMEAN 2824 0000 -27478 -15827 00612 29967 29356 30579 99245 00 862 00 1143 00 df SS MS F Significance F
A1 -36295358692 -36295 -02755 0000 -27478 -15809 00601 29902 29301 30502 97758 00 851 00 1123 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 9404E+09 0000 -27478 -15791 00590 29836 29246 30427 96299 00 841 00 1103 00 Residual 8 1901803363282 23772542041
R2 0983 (X=00Y^-004) 0000 -27478 -15773 00580 29771 29191 30352 94868 00 830 00 1084 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 29706 29136 30277 93464 00 820 00 1066 00
F-VALUE 6940 0000 -27478 -15738 00561 29642 29081 30203 92087 00 809 00 1048 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -29766326417 -42824390967 0000 -27478 -15720 00552 29578 29026 30129 90735 00 799 00 1030 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 29514 28971 30057 89409 00 789 00 1013 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 29450 28916 29984 88107 00 779 00 996 00
Xmax 00360517444 -15667 00526 29387 28861 29913 86829 00 769 00 980 00
Variansanalysetabel -15650 00518 29323 28805 29842 85575 00 760 00 964 00
SAK f S2 F -15633 00511 29261 28750 29771 84343 00 750 00 949 00 RESIDUAL OUTPUT
Regress 02055931902 1 0206 23821 -15615 00503 29198 28694 29701 83135 00 740 00 934 00
Residual 0003 4 0001 -15598 00497 29135 28639 29632 81948 00 731 00 919 00 Observation Predicted Y Residuals Standard Residuals
Total 0209 5 -15581 00490 29073 28583 29563 80783 00 722 00 904 00 1 649620085731 04744116959 01032033599
-15564 00484 29011 28527 29496 79639 00 712 00 890 00 2 847353753756 81224337994 17669515023
-15547 00479 28950 28471 29428 78515 00 703 00 877 00 3 723989604863 -37728515527 -08207448511
-15530 00474 28888 28414 29362 77412 00 694 00 863 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -363 -15513 00469 28827 28358 29296 76328 00 685 00 850 00 5 802495136516 -30746271321 -06688533467
-15496 00465 28766 28301 29231 75264 00 676 00 838 00 6 781834750473 -45407034997 -0987783104
-15479 00461 28705 28244 29166 74218 00 667 00 825 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 28645 28187 29102 73191 00 659 00 813 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 28584 28130 29039 72182 00 650 00 801 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 28524 28072 28976 71190 00 642 00 790 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 28464 28014 28915 70216 00 633 00 779 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 28405 27956 28853 69259 00 625 00 768 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 28345 27898 28793 68319 00 616 00 757 00
6 24469 514 -15364 00447 28286 27839 28733 67394 00 608 00 747 00
7 23646 474 -15348 00447 28227 27780 28674 66486 00 600 00 737 00
8 2306 446 -15332 00447 28169 27721 28616 65593 00 592 00 727 00
9 22622 426 -15316 00448 28110 27662 28558 64715 00 584 00 717 00
10 22281 41 -15299 00449 28052 27603 28501 63853 00 576 00 708 00
11 2201 398 -15283 00451 27994 27543 28444 63005 00 568 00 699 00
12 21788 289 -15268 00453 27936 27483 28389 62171 00 560 00 690 00
13 21604 381 -15252 00455 27878 27423 28333 61351 00 552 00 681 00
14 21448 374 -15236 00458 27821 27363 28279 60545 00 545 00 673 00
15 21315 368 -15220 00461 27764 27302 28225 59752 00 537 00 664 00
16 21199 363 -15204 00465 27707 27242 28171 58973 00 530 00 656 00
17 21098 359 -15189 00469 27650 27181 28119 58207 00 523 00 648 00
18 21009 355 -15173 00473 27593 27120 28066 57453 00 515 00 641 00
19 2093 352 -15158 00478 27537 27059 28014 56711 00 508 00 633 00
20 2086 349 -15142 00483 27480 26998 27963 55982 00 501 00 626 00
21 20796 347 -15127 00488 27424 26936 27912 55265 00 494 00 618 00
22 20739 344 -15111 00494 27369 26875 27862 54559 00 487 00 611 00
23 2069 342 -15096 00499 27313 26814 27812 53865 00 480 00 604 00
24 2064 34 -15081 00506 27258 26752 27763 53182 00 473 00 597 00
25 206 339 -15065 00512 27202 26691 27714 52510 00 467 00 591 00
26 2056 337 -15050 00519 27147 26629 27666 51849 00 460 00 584 00
27 2052 335 -15035 00525 27093 26567 27618 51198 00 454 00 578 00
28 2048 334 -15020 00532 27038 26506 27570 50558 00 447 00 572 00
29 2045 333 -15005 00540 26983 26444 27523 49928 00 441 00 565 00
30 2042 332 -14990 00547 26929 26382 27476 49308 00 435 00 559 00
31 2021 323 -14975 00555 26875 26320 27430 48698 00 429 00 553 00
40 2021 323 -14960 00563 26821 26259 27384 48097 00 423 00 547 00
41 2 315 -14946 00571 26767 26197 27338 47506 00 417 00 542 00
60 2 315 -14931 00579 26714 26135 27293 46924 00 411 00 536 00
61 198 307 -14916 00587 26661 26074 27248 46351 00 405 00 531 00
120 198 307 -14902 00595 26607 26012 27203 45787 00 399 00 525 00
121 196 3 -14887 00604 26554 25951 27158 45232 00 394 00 520 00
-14872 00613 26502 25889 27114 44685 00 388 00 515 00
-14858 00621 26449 25828 27070 44147 00 383 00 509 00
-14843 00630 26397 25766 27027 43617 00 377 00 504 00
-14829 00639 26344 25705 26983 43095 00 372 00 499 00
-14815 00648 26292 25644 26940 42580 00 367 00 494 00
-14800 00657 26240 25583 26897 42074 00 362 00 489 00
-14786 00667 26188 25522 26855 41576 00 357 00 485 00
-14772 00676 26137 25461 26813 41084 00 352 00 480 00
-14758 00685 26085 25400 26771 40601 00 347 00 475 00
-14744 00695 26034 25339 26729 40124 00 342 00 471 00
-14729 00704 25983 25279 26687 39655 00 337 00 466 00
-14715 00714 25932 25218 26646 39192 00 333 00 462 00
-14701 00723 25881 25158 26604 38737 00 328 00 458 00
-14688 00733 25831 25098 26564 38288 00 323 00 453 00
-14674 00743 25780 25038 26523 37846 00 319 00 449 00
-14660 00752 25730 24978 26482 37410 00 315 00 445 00
-14646 00762 25680 24918 26442 36981 00 310 00 441 00
-14632 00772 25630 24858 26402 36558 00 306 00 437 00
-14618 00782 25580 24798 26362 36141 00 302 00 433 00
-14605 00792 25530 24739 26322 35730 00 298 00 429 00
-14591 00801 25481 24679 26282 35325 00 294 00 425 00
-14578 00811 25431 24620 26243 34926 00 290 00 421 00
-14564 00821 25382 24561 26204 34533 00 286 00 417 00
-14550 00831 25333 24502 26165 34145 00 282 00 413 00
-14537 00841 25284 24443 26126 33763 00 278 00 410 00
-14524 00851 25236 24384 26087 33386 00 274 00 406 00
-14510 00861 25187 24326 26048 33015 00 271 00 403 00
-14497 00871 25139 24267 26010 32648 00 267 00 399 00
-14484 00881 25090 24209 25972 32287 00 264 00 396 00
-14470 00891 25042 24151 25934 31932 00 260 00 392 00
-14457 00901 24994 24093 25896 31581 00 257 00 389 00
-14444 00911 24946 24035 25858 31235 00 253 00 385 00
-14431 00921 24899 23977 25820 30893 00 250 00 382 00
8482958466798 453198415510438
157762337339841 445011526968153
229919209664129 436988185343382
299317396308158 429124812025937
362939584809143 42141791349927
425182430469998 413864079156283
406459979175265
399202362454331
392088054602438
385113955985505
378277039825948
371574350354031
3650030010096
358560172692686
352243112061582
346049129876992
339975599390947
334019954779185
328179689615728
322452355388469
316835560054579
311326966634576
305924291843988
300625304761508
295427825532595
290329724107552
28532891901306
280423376156244
275611107660335
270890170731068
266258666552894
261714739214239
257256574660917
252882399676985
248590480892212
244379123815443
240246671893146
23619150559242
232212041507809
22830673149124
224474061804437
220712552293262
217020755583252
213397256295896
209840670285
206349643892635
202922853224091
199559003441363
196256828074617
193015088351196
189832572541652
186708095322343
183640497154179
180628643677042
177671425119486
174767755723285
171916573182442
16911683809627
166367533436157
16366766402567
161016256033615
158412356479738
155855032752697
153343372140009
150876481369642
148453486162936
146073530798571
143735777687276
141439406957002
139183616048281
136967619319522
134790647661941
132651948123926
130550783544548
128486432196003
126458187434752
12446535736111
122507264487102
120583245412343
118692650507738
116834843606817
115009201704496
113215114663065
111451984925241
10971922723408
10801626835959
106342546831866
10469751268058
103080627180672
101491362604075
99929201977326
98393638844908
96884177038201
95400330449854
93941622813496
92507587488613
91097767250473
89711714084978
88348988988316
87009161771285
85691810868186
3058254506667 11401660489024
4917921666667 11224254241385
6765733182963 11050353869471
8396677941728 10879875483775
9580641906173 10712737548677
1069682848 10548860806755
1038816820583
10230584828653
10076037825111
9924456346858
9775771484275
9629916205667
9486825298608
934643531335
9208684508213
9073512796881
8940861697535
8810674283738
8682895137025
8557470301108
8434347237659
8313474783592
8194803109801
8078283681286
796386921863
7851513660757
7741172128948
7632800892042
7526357332798
7421799915369
7319088153841
7218182581804
7119044722924
7021637062462
6925923019723
6831866921392
6739433975727
6648590247583
6559302634229
6471538841935
6385267363303
6300457455314
6217079118063
6135103074163
6054500748792
597524425036
5897306351775
5820660472292
5745280659917
5671141574349
559821847045
5526487182213
5455924107218
5386506191562
5318210915236
5251016277946
5184900785361
5119843435765
5055823707109
4992821544449
4930817347748
4869791960047
4809726655972
4750603130585
4692403488555
4635110233648
4578706258517
4523174834784
4468499603418
4414664565374
4361654072513
4309452818768
4258045831573
420741846352
4157556384267
410844557266
4060072309079
4012423168008
3965485010793
3919244978615
3873690485654
3828809212438
3784589099379
3741018340481
3698085377224
3655778892613
3614087805387
3573001264389
3532508643077
34925995342
3453263744596
3414491290147
3376272390858
3338597466066
3301457129784
326484218616
3228743625054
3193152617745
3158060512727
312345883164
3089339265284
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 84830 -1443 3929 2082 15433 -56691834105 SUMX -9210 -1443 39329 -15993 00719 46563 45844 47282 4531984 00 38407 00 53477 00
0031 157762 -1506 4198 2269 17623 -63231238203 SUMY 26153 -1506 42253 -15974 00706 46476 45770 47182 4442233 00 37758 00 52264 00 Regression Statistics
0029 229919 -1531 4362 2345 19023 -66787074357 SUMXX 14154 -1531 43412 -15956 00693 46390 45696 47083 4354634 00 37120 00 51085 00 Multiple R 08824404681
0028 299317 -1552 4476 2409 20036 -69470662987 SUMYY 114332 -1552 44373 -15937 00681 46303 45622 46984 4269127 00 36495 00 49939 00 R Square 07787011797
0026 362940 -1578 4560 2491 20792 -71974236821 SUMXY -40218 -1578 45596 -15919 00669 46218 45549 46886 4185652 00 35882 00 48826 00 Adjusted R Square 07510388271
0025 425182 -1599 4629 2558 21424 -74025743521 SAKX 00156065368 -1599 46563 -15900 00657 46132 45475 46789 4104154 00 35280 00 47743 00 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 -27478 -15882 00645 46047 45402 46692 4024578 00 34690 00 46692 00 Observations 10
SAPXY -00722510218 0000 -27478 -15864 00634 45963 45329 46596 3946870 00 34110 00 45670 00
XMEAN -15350567173 0000 -27478 -15845 00623 45878 45256 46501 3870979 00 33540 00 44676 00 ANOVA
YMEAN 4359 0000 -27478 -15827 00612 45794 45183 46406 3796854 00 32981 00 43710 00 df SS MS F Significance F
A1 -46295358692 -46295 -02160 0000 -27478 -15809 00601 45711 45110 46311 3724449 00 32432 00 42771 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 5262E+12 0000 -27478 -15791 00590 45627 45037 46218 3653716 00 31893 00 41858 00 Residual 8 1901803363282 23772542041
R2 0990 (X=00Y^-005) 0000 -27478 -15773 00580 45544 44964 46125 3584610 00 31362 00 40971 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 45462 44891 46032 3517086 00 30842 00 40108 00
F-VALUE 6940 0000 -27478 -15738 00561 45380 44819 45941 3451104 00 30330 00 39269 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -39766326417 -52824390967 0000 -27478 -15720 00552 45298 44746 45849 3386620 00 29826 00 38453 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 45216 44673 45759 3323595 00 29331 00 37660 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 45135 44601 45669 3261991 00 28844 00 36889 00
Xmax 00360517444 -15667 00526 45054 44528 45580 3201770 00 28366 00 36140 00
Variansanalysetabel -15650 00518 44973 44455 45491 3142896 00 27895 00 35411 00
SAK f S2 F -15633 00511 44893 44382 45404 3085332 00 27431 00 34702 00 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 -15615 00503 44813 44310 45316 3029046 00 26975 00 34013 00
Residual 0003 4 0001 -15598 00497 44733 44237 45230 2974003 00 26526 00 33343 00 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 -15581 00490 44654 44164 45144 2920172 00 26084 00 32692 00 1 649620085731 04744116959 01032033599
-15564 00484 44575 44091 45059 2867521 00 25649 00 32058 00 2 847353753756 81224337994 17669515023
-15547 00479 44496 44018 44975 2816020 00 25221 00 31442 00 3 723989604863 -37728515527 -08207448511
-15530 00474 44418 43944 44892 2765640 00 24799 00 30843 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -463 -15513 00469 44340 43871 44809 2716351 00 24383 00 30261 00 5 802495136516 -30746271321 -06688533467
-15496 00465 44262 43797 44727 2668126 00 23974 00 29694 00 6 781834750473 -45407034997 -0987783104
-15479 00461 44185 43724 44645 2620939 00 23571 00 29144 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 44107 43650 44565 2574762 00 23173 00 28608 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 44030 43576 44485 2529571 00 22782 00 28087 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 43954 43502 44406 2485341 00 22396 00 27581 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 43878 43427 44328 2442047 00 22016 00 27088 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 43802 43353 44250 2399668 00 21641 00 26608 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 43726 43278 44173 2358179 00 21272 00 26142 00
6 24469 514 -15364 00447 43650 43203 44097 2317559 00 20909 00 25688 00
7 23646 474 -15348 00447 43575 43128 44022 2277787 00 20551 00 25246 00
8 2306 446 -15332 00447 43500 43053 43947 2238842 00 20198 00 24816 00
9 22622 426 -15316 00448 43426 42978 43873 2200703 00 19851 00 24398 00
10 22281 41 -15299 00449 43351 42902 43800 2163352 00 19508 00 23990 00
11 2201 398 -15283 00451 43277 42827 43728 2126768 00 19171 00 23593 00
12 21788 289 -15268 00453 43203 42751 43656 2090935 00 18840 00 23207 00
13 21604 381 -15252 00455 43130 42675 43585 2055832 00 18513 00 22830 00
14 21448 374 -15236 00458 43057 42599 43515 2021444 00 18191 00 22463 00
15 21315 368 -15220 00461 42984 42522 43445 1987753 00 17875 00 22105 00
16 21199 363 -15204 00465 42911 42446 43376 1954742 00 17563 00 21756 00
17 21098 359 -15189 00469 42838 42370 43307 1922395 00 17257 00 21415 00
18 21009 355 -15173 00473 42766 42293 43239 1890697 00 16956 00 21083 00
19 2093 352 -15158 00478 42694 42217 43172 1859632 00 16659 00 20759 00
20 2086 349 -15142 00483 42623 42140 43105 1829186 00 16368 00 20442 00
21 20796 347 -15127 00488 42551 42063 43039 1799343 00 16081 00 20133 00
22 20739 344 -15111 00494 42480 41986 42974 1770091 00 15799 00 19831 00
23 2069 342 -15096 00499 42409 41910 42908 1741415 00 15522 00 19536 00
24 2064 34 -15081 00506 42338 41833 42844 1713302 00 15250 00 19248 00
25 206 339 -15065 00512 42268 41756 42780 1685738 00 14983 00 18966 00
26 2056 337 -15050 00519 42198 41679 42716 1658712 00 14720 00 18691 00
27 2052 335 -15035 00525 42128 41602 42653 1632212 00 14462 00 18421 00
28 2048 334 -15020 00532 42058 41526 42590 1606224 00 14209 00 18157 00
29 2045 333 -15005 00540 41989 41449 42528 1580737 00 13960 00 17899 00
30 2042 332 -14990 00547 41919 41372 42466 1555741 00 13716 00 17646 00
31 2021 323 -14975 00555 41850 41296 42405 1531224 00 13476 00 17399 00
40 2021 323 -14960 00563 41782 41219 42344 1507175 00 13241 00 17156 00
41 2 315 -14946 00571 41713 41143 42284 1483584 00 13009 00 16919 00
60 2 315 -14931 00579 41645 41066 42224 1460440 00 12783 00 16686 00
61 198 307 -14916 00587 41577 40990 42164 1437734 00 12560 00 16458 00
120 198 307 -14902 00595 41509 40914 42104 1415455 00 12341 00 16234 00
121 196 3 -14887 00604 41441 40838 42045 1393595 00 12127 00 16015 00
-14872 00613 41374 40761 41987 1372144 00 11916 00 15800 00
-14858 00621 41307 40686 41928 1351094 00 11710 00 15589 00
-14843 00630 41240 40610 41870 1330434 00 11507 00 15382 00
-14829 00639 41173 40534 41812 1310158 00 11309 00 15179 00
-14815 00648 41107 40459 41755 1290256 00 11114 00 14979 00
-14800 00657 41041 40383 41698 1270721 00 10922 00 14784 00
-14786 00667 40974 40308 41641 1251544 00 10735 00 14591 00
-14772 00676 40909 40233 41584 1232718 00 10551 00 14403 00
-14758 00685 40843 40158 41528 1214235 00 10370 00 14217 00
-14744 00695 40778 40083 41472 1196088 00 10193 00 14035 00
-14729 00704 40712 40008 41417 1178269 00 10019 00 13857 00
-14715 00714 40647 39934 41361 1160773 00 9849 00 13681 00
-14701 00723 40583 39859 41306 1143591 00 9682 00 13508 00
-14688 00733 40518 39785 41251 1126718 00 9518 00 13338 00
-14674 00743 40454 39711 41196 1110146 00 9357 00 13172 00
-14660 00752 40390 39637 41142 1093870 00 9199 00 13008 00
-14646 00762 40326 39564 41088 1077883 00 9044 00 12846 00
-14632 00772 40262 39490 41034 1062179 00 8892 00 12688 00
-14618 00782 40198 39417 40980 1046753 00 8743 00 12532 00
-14605 00792 40135 39344 40927 1031598 00 8597 00 12378 00
-14591 00801 40072 39271 40873 1016710 00 8454 00 12228 00
-14578 00811 40009 39198 40820 1002081 00 8313 00 12079 00
-14564 00821 39946 39125 40768 987708 00 8175 00 11933 00
-14550 00831 39884 39052 40715 973585 00 8040 00 11790 00
-14537 00841 39821 38980 40663 959706 00 7907 00 11648 00
-14524 00851 39759 38908 40610 946068 00 7777 00 11509 00
-14510 00861 39697 38836 40558 932664 00 7649 00 11372 00
-14497 00871 39635 38764 40507 919491 00 7524 00 11238 00
-14484 00881 39574 38693 40455 906543 00 7400 00 11105 00
-14470 00891 39512 38621 40404 893816 00 7280 00 10974 00
-14457 00901 39451 38550 40353 881306 00 7161 00 10846 00
-14444 00911 39390 38479 40302 869008 00 7045 00 10719 00
-14431 00921 39329 38408 40251 856918 00 6931 00 10595 00
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 05 2118 -0301 4486 0091 -06375616132 SUMX 12432 2118 -02966 20398 00719 05048 04330 05767 320 1096 3 1096 4 1096
122000 10 2086 0000 4353 0000 0 SUMY 1051 2086 00273 20407 00707 04961 04254 05668 313 1098 3 1098 4 1098 Regression Statistics
118533 15 2074 0176 4301 0031 03651851843 SUMXX 25762 2074 01557 20415 00696 04873 04177 05569 307 1100 3 1100 4 1100 Multiple R 08824404681
115733 20 2063 0301 4258 0091 06211628918 SUMYY 0598 2063 02622 20424 00684 04786 04101 05470 301 1102 3 1102 4 1102 R Square 07787011797
112267 25 2050 0398 4204 0158 08158768323 SUMXY 2138 2050 03977 20432 00673 04698 04025 05371 295 1105 3 1105 3 1105 Adjusted R Square 07510388271
109600 30 2040 0477 4161 0228 0973236971 SAKX 00039016342 2040 05048 20441 00662 04611 03949 05273 289 1107 2 1107 3 1107 Standard Error 48757093885
SAKY (SAKtotal) 041 0000 214314 20449 00651 04525 03873 05176 283 1109 2 1109 3 1109 Observations 10
SAPXY -00400271451 0000 214314 20458 00640 04438 03797 05078 278 1111 2 1111 3 1111
XMEAN 20719423346 0000 214314 20466 00630 04351 03721 04981 272 1113 2 1113 3 1113 ANOVA
YMEAN 0175 0000 214314 20474 00620 04265 03645 04885 267 1115 2 1115 3 1115 df SS MS F Significance F
A1 -102590717384 -102591 -00975 0000 214314 20483 00609 04179 03569 04788 262 1118 2 1118 3 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 21431 27002074746314896000000 1361E-220 0000 214314 20491 00600 04093 03493 04692 257 1120 2 1120 3 1120 Residual 8 1901803363282 23772542041
R2 0992 (X=2700207474631490000000Y^-010) 0000 214314 20500 00590 04007 03417 04597 252 1122 2 1122 3 1122 Total 9 8593825130074
T-VALUE 2776 0000 214314 20508 00580 03921 03341 04502 247 1124 2 1124 3 1124
F-VALUE 6940 0000 214314 20516 00571 03836 03264 04407 242 1126 2 1126 3 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 13058064549 -89532652835 -115648781933 0000 214314 20525 00562 03750 03188 04313 237 1128 2 1128 3 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 21398 21465 0000 214314 20533 00554 03665 03112 04219 233 1131 2 1131 3 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 214314 20541 00545 03580 03035 04125 228 1133 2 1133 3 1133
Xmax 1312 20549 00537 03495 02958 04032 224 1135 2 1135 3 1135
Variansanalysetabel 20558 00529 03410 02881 03940 219 1137 2 1137 2 1137
SAK f S2 F 20566 00521 03326 02804 03847 215 1139 2 1139 2 1139 RESIDUAL OUTPUT
Regress 04106413531 1 0411 47580 20574 00514 03242 02727 03756 211 1141 2 1141 2 1141
Residual 0003 4 0001 20582 00507 03157 02650 03664 207 1144 2 1144 2 1144 Observation Predicted Y Residuals Standard Residuals
Total 0414 5 20591 00501 03073 02573 03574 203 1146 2 1146 2 1146 1 649620085731 04744116959 01032033599
20599 00494 02989 02495 03484 199 1148 2 1148 2 1148 2 847353753756 81224337994 17669515023
20607 00488 02906 02417 03394 195 1150 2 1150 2 1150 3 723989604863 -37728515527 -08207448511
20615 00483 02822 02339 03305 192 1152 2 1152 2 1152 4 839679896083 35389412933 07698600923
N = 2700E+21 S^ -1026 20623 00478 02738 02261 03216 188 1154 2 1154 2 1154 5 802495136516 -30746271321 -06688533467
20631 00473 02655 02182 03128 184 1156 2 1156 2 1156 6 781834750473 -45407034997 -0987783104
20639 00468 02572 02104 03040 181 1159 2 1159 2 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 02489 02025 02953 177 1161 2 1161 2 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 02406 01946 02867 174 1163 2 1163 2 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 02324 01866 02781 171 1165 2 1165 2 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 02241 01786 02696 168 1167 2 1167 2 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 02159 01706 02611 164 1169 1 1169 2 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 02076 01626 02527 161 1172 1 1172 2 1172
6 24469 514 20696 00449 01994 01546 02443 158 1174 1 1174 2 1174
7 23646 474 20704 00448 01912 01465 02360 155 1176 1 1176 2 1176
8 2306 446 20712 00447 01831 01384 02278 152 1178 1 1178 2 1178
9 22622 426 20720 00447 01749 01302 02196 150 1180 1 1180 2 1180
10 22281 41 20728 00447 01668 01221 02115 147 1182 1 1182 2 1182
11 2201 398 20736 00448 01586 01139 02034 144 1185 1 1185 2 1185
12 21788 289 20743 00449 01505 01056 01954 141 1187 1 1187 2 1187
13 21604 381 20751 00450 01424 00974 01874 139 1189 1 1189 2 1189
14 21448 374 20759 00452 01343 00891 01795 136 1191 1 1191 2 1191
15 21315 368 20767 00455 01262 00808 01717 134 1193 1 1193 1 1193
16 21199 363 20775 00457 01182 00725 01639 131 1195 1 1195 1 1195
17 21098 359 20783 00460 01101 00641 01562 129 1198 1 1198 1 1198
18 21009 355 20791 00464 01021 00557 01485 127 1200 1 1200 1 1200
19 2093 352 20798 00468 00941 00473 01409 124 1202 1 1202 1 1202
20 2086 349 20806 00472 00861 00389 01333 122 1204 1 1204 1 1204
21 20796 347 20814 00477 00781 00305 01258 120 1206 1 1206 1 1206
22 20739 344 20822 00482 00701 00220 01183 118 1208 1 1208 1 1208
23 2069 342 20830 00487 00622 00135 01109 115 1210 1 1210 1 1210
24 2064 34 20837 00492 00542 00050 01035 113 1213 1 1213 1 1213
25 206 339 20845 00498 00463 -00035 00961 111 1215 1 1215 1 1215
26 2056 337 20853 00504 00384 -00120 00888 109 1217 1 1217 1 1217
27 2052 335 20860 00511 00305 -00206 00816 107 1219 1 1219 1 1219
28 2048 334 20868 00517 00226 -00291 00743 105 1221 1 1221 1 1221
29 2045 333 20876 00524 00147 -00377 00672 103 1223 1 1223 1 1223
30 2042 332 20883 00531 00069 -00463 00600 102 1226 1 1226 1 1226
31 2021 323 20891 00539 -00010 -00548 00529 100 1228 1 1228 1 1228
40 2021 323 20899 00546 -00088 -00634 00458 098 1230 1 1230 1 1230
41 2 315 20906 00554 -00166 -00720 00388 096 1232 1 1232 1 1232
60 2 315 20914 00562 -00244 -00806 00318 095 1234 1 1234 1 1234
61 198 307 20922 00570 -00322 -00892 00248 093 1236 1 1236 1 1236
120 198 307 20929 00579 -00400 -00978 00179 091 1239 1 1239 1 1239
121 196 3 20937 00587 -00478 -01065 00110 090 1241 1 1241 1 1241
20944 00596 -00555 -01151 00041 088 1243 1 1243 1 1243
20952 00605 -00632 -01237 -00028 086 1245 1 1245 1 1245
20959 00614 -00710 -01323 -00096 085 1247 1 1247 1 1247
20967 00623 -00787 -01409 -00164 083 1249 1 1249 1 1249
20974 00632 -00864 -01496 -00232 082 1252 1 1252 1 1252
20982 00641 -00941 -01582 -00299 081 1254 1 1254 1 1254
20989 00651 -01017 -01668 -00367 079 1256 1 1256 1 1256
20997 00660 -01094 -01754 -00434 078 1258 1 1258 1 1258
21004 00670 -01170 -01840 -00500 076 1260 1 1260 1 1260
21012 00680 -01247 -01926 -00567 075 1262 1 1262 1 1262
21019 00690 -01323 -02012 -00633 074 1264 1 1264 1 1264
21027 00699 -01399 -02098 -00699 072 1267 1 1267 1 1267
21034 00709 -01475 -02184 -00765 071 1269 1 1269 1 1269
21041 00720 -01550 -02270 -00831 070 1271 1 1271 1 1271
21049 00730 -01626 -02356 -00896 069 1273 1 1273 1 1273
21056 00740 -01702 -02442 -00962 068 1275 1 1275 1 1275
21063 00750 -01777 -02527 -01027 066 1277 1 1277 1 1277
21071 00761 -01852 -02613 -01092 065 1280 1 1280 1 1280
21078 00771 -01927 -02699 -01156 064 1282 1 1282 1 1282
21085 00782 -02002 -02784 -01221 063 1284 1 1284 1 1284
21093 00792 -02077 -02869 -01285 062 1286 1 1286 1 1286
21100 00803 -02152 -02955 -01349 061 1288 1 1288 1 1288
21107 00813 -02227 -03040 -01413 060 1290 0 1290 1 1290
21115 00824 -02301 -03125 -01477 059 1293 0 1293 1 1293
21122 00835 -02376 -03210 -01541 058 1295 0 1295 1 1295
21129 00845 -02450 -03295 -01605 057 1297 0 1297 1 1297
21136 00856 -02524 -03380 -01668 056 1299 0 1299 1 1299
21143 00867 -02598 -03465 -01731 055 1301 0 1301 1 1301
21151 00878 -02672 -03550 -01794 054 1303 0 1303 1 1303
21158 00889 -02746 -03634 -01857 053 1306 0 1306 1 1306
21165 00900 -02819 -03719 -01920 052 1308 0 1308 1 1308
21172 00911 -02893 -03803 -01982 051 1310 0 1310 1 1310
21179 00921 -02966 -03888 -02045 051 1312 0 1312 1 1312
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
8482958466798 453198415509923
157762337339841 444223298518267
229919209664129 435463395651789
299317396308158 426912655401948
362939584809143 418565221258607
425182430469998 410415424632938
402457778065734
394686968708487
387097852065186
379685445983355
372444924883448
365371614216194
35846098513798
351708649394869
345110354406237
338661978539499
332359526567722
326199125302371
320177019393754
314289567292081
308533237362397
302904604146922
297400344768675
292017235470486
286752148283813
281602047821987
276563988192795
271635110025519
266812637607734
262093876127455
257476209016332
252957095389845
248534067580594
244204728760957
239966750651574
235817871312228
23175589301187
227778680174694
223884157399223
220070307547618
216335169902413
212676838388095
209093459855011
205583232423197
202144403883818
198775270156044
195474173797216
192239502564294
189069688024643
185963204214298
182918566341916
179934329536705
177009087638707
174141472029822
171330150504106
168573826175856
165871236424115
16322115187225
160622375401323
158073741196027
155574113821997
15312238733337
150717484409499
148358355519769
146043978115519
143773355848089
141545517812079
139359517812904
137214433657812
135109366469516
133043440021664
131015800095362
129025613856046
127072069249961
125154374419592
12327175713739
121423464257146
119608761182432
117826931351499
116077275738105
114359112367685
112671775848397
111014616916491
109387001995557
107788312769166
106217945766462
104675311960271
103159836377317
101670957720132
10020812800029
98770812182574
97358487839736
9597064481748
94606784909365
93266421541272
91949079465149
90654294461729
89381613051922
88130592216609
86900799124579
85691810868326
05 31976750428
1 31337340646
15 30711935499
2 30100201659
25 29501814358
3 28916457161
28343821727
27783607596
27235521965
26699279482
26174602045
25661218598
25158864946
24667283564
24186223417
23715439788
23254694103
22803753765
22362392
21930387691
21507525235
21093594389
20688390133
20291712524
19903366566
19523162079
19150913566
18786440095
18429565175
18080116642
1773792654
17402831016
1707467021
1675328815
16438532653
16130255221
15828310953
15532558443
15242859697
14959080039
14681088029
14408755377
14141956865
13880570262
13624476257
13373558376
13127702911
12886798854
12650737823
12419413998
12192724054
11970567102
11752844621
11539460405
11330320499
11125333147
10924408733
1072745973
10534400646
10345147975
10159620146
09977737475
0979942212
09624598031
09453190911
09285128169
0912033888
08958753741
08800305035
0864492659
0849255374
08343123292
08196573485
0805284396
07911875721
07773611107
07637993755
07504968573
07374481705
07246480503
071209135
06997730378
06876881942
06758320095
06641997808
06527869097
06415888997
06306013539
06198199726
06092405508
05988589762
0588671227
05786733694
05688615561
05592320238
05497810915
05405051585
05314007022
05224642769
05136925114
05050821079
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
POLYTEC results
vo [ms] 140 Regn intensitet 325 mmh droplet volume 00000000042
vi [ms] 110 droplet speed 6 ms droplet size 2 mm 2
r0-ri [m] 0225 mass 00000041888 kg 00000031416
omega [rads] 133 1000 2
rpm 1273 Tid Regnmaeligngde slid [mm] hastighed cinetic energy Hitsm2s failure at failure at power function failure failure at acc impact energy 3
rotor diam 21 [hrs] [min] [sec] [J] hitsm2 hitscm2 hitsm2 hits2 mm circle [Jcm2]
05 300 18000 163 66 131 00360517444 47128 85E+07 85E+03 858E+07 27E+02 31E+02
10 600 36000 325 135 122 00311729767 43823 16E+08 16E+04 168259557551256 50E+02 49E+02
15 900 54000 488 161 119 00294265677 42578 23E+08 23E+04 219739821326208 72E+02 68E+02
20 1200 72000 650 182 116 00280527562 41572 30E+08 30E+04 27418672140055 94E+02 84E+02
25 1500 90000 813 208 112 00263973463 40327 36E+08 36E+04 363370031336381 11E+03 96E+02
30 1800 108000 975 228 110 00251582091 39369 43E+08 43E+04 453968838852237 13E+03 11E+03
c= 17872
325 100 10 m= 463
percent of time hours pr year rain intensity rain rate fall speed droplet size droplet size rain relative volume 1 droplet volume dropletsm3 density mass blade tip speed cinetic energy hitsm2s hitsm2hr hitscm2s hitscm2hr power function impacts to failure hours to failure mm to failure fraction of life spent pr year fraction of life spent pr year reduced production
[hrsyear] [mmhr] ms ms [mm] m [-] [m3] [kgm3] kg [ms] [m-2hr-1] [cm-2s-1] [cm-2hr-1] [m-2] [hrs] []
002 1752 20 00000055556 6 25 00025 00000009259 00000000082 113 1000 00000081812 700 00200440156 7922 285E+07 07922379389 2852 130E+09 456E+01 912 0038 384 00000888889
01 876 10 00000027778 6 2 0002 0000000463 00000000042 111 1000 00000041888 800 00134041287 8842 318E+07 08841941283 3183 838E+09 263E+02 2632 0033 333 00001111111
1 876 5 00000013889 6 15 00015 00000002315 00000000018 131 1000 00000017671 900 00071569408 11789 424E+07 11789255044 4244 153E+11 361E+03 18029 0024 243 0
3 2628 2 00000005556 6 1 0001 00000000926 00000000005 177 1000 00000005236 900 0002120575 15915 573E+07 15915494309 5730 427E+13 746E+05 1491421 0000 004 0
5 438 1 00000002778 6 05 00005 00000000463 00000000001 707 1000 00000000654 900 00002650719 63662 229E+08 63661977237 22918 649E+17 283E+09 2830197826 0000 000 0
2 0002 1000 800 00134041287 sum fraction 0096 9637
rpm ms D rotor lifetime years 10377 10377
SWP 23-106 16 904778684234 108
6 339292006588 108
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
Page 6: On leading edge erosion at turbine blades due to heavy

DTU Wind Energy1 May 2019

Simulated power curves for the Vestas V52 for different leading edge roughness levels

6

0

100

200

300

400

500

600

700

800

900

3 5 7 9 11 13

Elec

trica

l pow

er [k

W]

Wind speed [ms]

Clean 20 of full LER 40 of full LER

60 of full LER 80 of full LER Full LER Bech et al 2018 WES

LER is leading edge roughness Roughness levels increase for eroded blade

DTU Wind Energy1 May 2019

Rain erosion test example

7

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Rain erosion test data plotted as a Woumlhler curve

8

Bech et al 2018 WES

D is drop sizevt is blade speed

Impacts per unit area to failure as function of the kinetic energy for each impact

DTU Wind Energy1 May 2019

Woumlhler curves for droplet diameters of 15 20 and 25 mm

9

RET is Rain Erosion Test

Bech et al 2018 WES

Chart1

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

life model polytech data

Jakob Ilsted Bechantaget
Jakob Ilsted Bechantaget
Jakob Ilsted Bechcinetic energy with diameter

life model polytech data

kinetic energy [J]
impactsm2
rain impact fatigue

impact fatigue V-N

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

impact fatigue (4)

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

fig 3

Fit
Time to removed coating [hrs]
Local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

fig 4

Fit
Impactsarea to removed coating [cm-2]
Kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig5 v-N

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

ASTM E739 stat (timespeed)

ASTM E739 stat (impactsenergy)

fig accu energ

Fit
accumulated imapct energy [Jcm-2]
kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig

Fit
impacts to erosion [cm-2]
local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

ASTM E739 stat (impactsacc en)

ASTM E739 stat (impactsspeed)

DTU Wind Energy1 May 2019

Extending lifetime

10

DTU Wind Energy1 May 2019

Assumptions

11

Bech et al 2018 WES

Weibull Abull 7 msbull 8 msbull 9 ms

Wind turbine Rain climate Wind climate

Vestas V52 850 kW pitch regulated variable speed and modified rotation speed to make it consistent with larger turbines

The temperate maritime climateof occurences of rain intensity is taken from Jones and Sims 1978

DTU Wind Energy1 May 2019

Control strategies

12

Apart from a reference case where it is assumed that there is no erosion six different control strate

on the model for expected lifetime for the blade leading edge

bull Control strategy 1 with expected life time of 16 years bull Control strategy 2 with expected life time of 104 years bull Control strategy 3 with expected life time of 244 years bull Control strategy 4 with expected life time of 539 years bull Control strategy 5 with expected life time of 1065 years bull Control strategy 6 with expected life time of infinite many years

No reduction (90 ms)

Reduction rdquolightrdquo 80 ms and 70 ms

Reduction rdquosevererdquo 55ms 65ms and 70ms

Idealized

Bech et al 2018 WES

DTU Wind Energy1 May 2019 13

Life time of the blade leading edge with no reduction of the tip speed Control strategy 1

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 90 35 51 10 20 01 88 90 79 11 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 64

Expected life [years] 16

Bech et al 2018 WES

DTU Wind Energy1 May 2019 14

Life time of the blade leading edge with reduction of the tip speed to 70ms and 80msControl strategy 2

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 70 46 38 10 20 01 88 80 263 33 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 96

Expected life [years] 104

Bech et al 2018 WES

DTU Wind Energy1 May 2019 15

Life time of the blade leading edge with reduction of the tip speed to 55ms 65ms and 70msControl strategy 5

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 55 541 03 10 20 01 88 65 2215 04 5 15 1 88 70 47514 02 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 09

Expected life [years] 107

Bech et al 2018 WES

DTU Wind Energy1 May 2019

AEP relative to AEP with no erosion

16

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019 17

bull Energy price o 50 euroMWh o 250 euroMWh

bull Inspection cost o 500 eurorotor o 1500 eurorotor

bull Repair cost o 10000 eurorotor o 20000 eurorotor

Stand still of 1 day inspected

Stand still of 2 days repaired

Cost of operation and maintenance

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Loss of income due to erosion inspection and repair

18

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019

In what geography is leading edge erosion a challenge

19

DTU Wind Energy1 May 2019

Rainfall erosivity (for soils)

20

Rainfall erosivity for soils is modelled as a function of the kinetic energy of rain the maximum intensity of rainfall the cumulative rainfall the soil properties and the slopes of terrain The map on rainfall erosivity in Europe at 500 m spatial resolution assessed by European Soil Data Centre (Panagos et al 2015)

A map for wind turbine blades is in preparation in the EROSION research project

Rainfall erosivity (for wind turbine blades)

DTU Wind Energy1 May 2019

Conclusions

21

A framework for prediction and a mitigation strategy for leading edge erosion was presented

The model takes into account the entire value chain leading edge test data actual on site precipitation erosion rate loss of production due to erosion operation and maintenance

The lost energy production due to occasional tip speed reduction is marginal in proportion to the alternative of lost production due to eroded blades

Thus the cost ndash benefit balance of erosion control looks very promising and shows a great potential for reducing the loss of produced energy due to erosion and the cost of operation and maintenance

To accomplish erosion control there is a need for more knowledge on the correlation between precipitation and erosion for different leading edge structures and materials and for development of methods and equipment for on-site now casting of precipitation

DTU Wind Energy1 May 2019

Reading

22

DTU Wind Energy1 May 2019

Acknowledgements

23

Support from Innovation Fund Denmark is acknowledged

wwwrain-erosiondk

  • Slide Number 1
  • Slide Number 2
  • Motivation
  • Working hypothesis
  • Slide Number 5
  • Simulated power curves for the Vestas V52 for different leading edge roughness levels
  • Rain erosion test example
  • Rain erosion test data plotted as a Woumlhler curve
  • Woumlhler curves for droplet diameters of 15 20 and 25 mm
  • Extending lifetime
  • Assumptions
  • Control strategies
  • Slide Number 13
  • Slide Number 14
  • Slide Number 15
  • AEP relative to AEP with no erosion
  • Cost of operation and maintenance
  • Loss of income due to erosion inspection and repair
  • In what geography is leading edge erosion a challenge
  • Rainfall erosivity (for soils)
  • Conclusions
  • Reading
  • Acknowledgements
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 84830 2118 3929 4486 15433 83204033354 SUMX 12432 2118 39329 20398 00719 46563 45844 47282 4531984 1096 38407 1096 53477 1096
122000 157762 2086 4198 4353 17623 87585455209 SUMY 26153 2086 42253 20407 00707 46484 45777 47191 4450115 1098 37815 1098 52370 1098 Regression Statistics
118533 229919 2074 4362 4301 19023 90452114031 SUMXX 25762 2074 43412 20415 00696 46405 45709 47100 4369882 1100 37232 1100 51289 1100 Multiple R 08824404681
115733 299317 2063 4476 4258 20036 92363123663 SUMYY 114332 2063 44373 20424 00684 46326 45642 47010 4291248 1102 36657 1102 50235 1102 R Square 07787011797
112267 362940 2050 4560 4204 20792 93488041277 SUMXY 54151 2050 45596 20432 00673 46247 45574 46920 4214179 1105 36092 1105 49205 1105 Adjusted R Square 07510388271
109600 425182 2040 4629 4161 21424 94414167683 SAKX 00039016342 2040 46563 20441 00662 46169 45507 46831 4138641 1107 35535 1107 48201 1107 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 235430 20449 00651 46090 45439 46741 4064600 1109 34987 1109 47220 1109 Observations 10
SAPXY -00361255109 0000 235430 20458 00640 46012 45372 46652 3992024 1111 34447 1111 46263 1111
XMEAN 20719423346 0000 235430 20466 00630 45934 45304 46564 3920881 1113 33915 1113 45329 1113 ANOVA
YMEAN 4359 0000 235430 20474 00620 45856 45236 46475 3851140 1115 33391 1115 44417 1115 df SS MS F Significance F
A1 -92590717384 -92591 -01080 0000 235430 20483 00609 45778 45169 46388 3782770 1118 32875 1118 43527 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 23543 3491729856497833400000000 1031E-218 0000 235430 20491 00600 45700 45101 46300 3715744 1120 32366 1120 42658 1120 Residual 8 1901803363282 23772542041
R2 0990 (X=349172985649783000000000Y^-009) 0000 235430 20500 00590 45623 45033 46213 3650030 1122 31864 1122 41811 1122 Total 9 8593825130074
T-VALUE 2776 0000 235430 20508 00580 45546 44965 46126 3585602 1124 31370 1124 40983 1124
F-VALUE 6940 0000 235430 20516 00571 45468 44897 46040 3522431 1126 30883 1126 40176 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 1305806455 -79532652834 -105648781934 0000 235430 20525 00562 45391 44829 45954 3460491 1128 30403 1128 39388 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 23510 23576 0000 235430 20533 00554 45314 44761 45868 3399756 1131 29929 1131 38619 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 235430 20541 00545 45238 44693 45783 3340200 1133 29462 1133 37869 1133
Xmax 1312 20549 00537 45161 44624 45698 3281797 1135 29001 1135 37137 1135
Variansanalysetabel 20558 00529 45085 44556 45614 3224524 1137 28547 1137 36423 1137
SAK f S2 F 20566 00521 45008 44487 45530 3168356 1139 28099 1139 35726 1139 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 20574 00514 44932 44418 45446 3113270 1141 27657 1141 35046 1141
Residual 0003 4 0001 20582 00507 44856 44349 45363 3059243 1144 27220 1144 34382 1144 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 20591 00501 44780 44280 45281 3006253 1146 26790 1146 33735 1146 1 649620085731 04744116959 01032033599
20599 00494 44705 44210 45199 2954278 1148 26365 1148 33104 1148 2 847353753756 81224337994 17669515023
20607 00488 44629 44141 45117 2903297 1150 25945 1150 32488 1150 3 723989604863 -37728515527 -08207448511
20615 00483 44553 44071 45036 2853289 1152 25531 1152 31888 1152 4 839679896083 35389412933 07698600923
N = 3492E+23 S^ -926 20623 00478 44478 44001 44956 2804234 1154 25122 1154 31302 1154 5 802495136516 -30746271321 -06688533467
20631 00473 44403 43930 44876 2756111 1156 24719 1156 30730 1156 6 781834750473 -45407034997 -0987783104
20639 00468 44328 43860 44796 2708902 1159 24320 1159 30173 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 44253 43789 44717 2662587 1161 23927 1161 29630 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 44178 43718 44639 2617147 1163 23538 1163 29100 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 44104 43646 44561 2572566 1165 23154 1165 28583 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 44029 43575 44484 2528824 1167 22775 1167 28079 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 43955 43503 44407 2485905 1169 22401 1169 27587 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 43881 43430 44331 2443791 1172 22031 1172 27107 1172
6 24469 514 20696 00449 43807 43358 44255 2402467 1174 21666 1174 26640 1174
7 23646 474 20704 00448 43733 43285 44180 2361915 1176 21306 1176 26184 1176
8 2306 446 20712 00447 43659 43212 44106 2322120 1178 20950 1178 25739 1178
9 22622 426 20720 00447 43585 43138 44032 2283067 1180 20599 1180 25305 1180
10 22281 41 20728 00447 43512 43065 43959 2244741 1182 20252 1182 24881 1182
11 2201 398 20736 00448 43438 42991 43886 2207126 1185 19909 1185 24468 1185
12 21788 289 20743 00449 43365 42916 43814 2170208 1187 19571 1187 24065 1187
13 21604 381 20751 00450 43292 42842 43742 2133973 1189 19238 1189 23671 1189
14 21448 374 20759 00452 43219 42767 43671 2098407 1191 18909 1191 23287 1191
15 21315 368 20767 00455 43146 42691 43601 2063496 1193 18584 1193 22912 1193
16 21199 363 20775 00457 43073 42616 43531 2029229 1195 18264 1195 22546 1195
17 21098 359 20783 00460 43001 42540 43461 1995590 1198 17949 1198 22188 1198
18 21009 355 20791 00464 42928 42464 43392 1962568 1200 17637 1200 21838 1200
19 2093 352 20798 00468 42856 42388 43324 1930151 1202 17331 1202 21497 1202
20 2086 349 20806 00472 42784 42312 43256 1898326 1204 17028 1204 21163 1204
21 20796 347 20814 00477 42712 42235 43188 1867081 1206 16730 1206 20836 1206
22 20739 344 20822 00482 42640 42158 43121 1836405 1208 16437 1208 20517 1208
23 2069 342 20830 00487 42568 42081 43055 1806286 1210 16148 1210 20205 1210
24 2064 34 20837 00492 42496 42004 42988 1776714 1213 15863 1213 19900 1213
25 206 339 20845 00498 42425 41927 42923 1747678 1215 15583 1215 19601 1215
26 2056 337 20853 00504 42353 41849 42857 1719166 1217 15307 1217 19308 1217
27 2052 335 20860 00511 42282 41771 42792 1691168 1219 15036 1219 19022 1219
28 2048 334 20868 00517 42211 41693 42728 1663675 1221 14769 1221 18741 1221
29 2045 333 20876 00524 42140 41615 42664 1636677 1223 14506 1223 18466 1223
30 2042 332 20883 00531 42069 41537 42600 1610163 1226 14247 1226 18197 1226
31 2021 323 20891 00539 41998 41459 42537 1584124 1228 13993 1228 17933 1228
40 2021 323 20899 00546 41927 41381 42473 1558550 1230 13743 1230 17675 1230
41 2 315 20906 00554 41857 41303 42411 1533434 1232 13498 1232 17421 1232
60 2 315 20914 00562 41786 41224 42348 1508765 1234 13256 1234 17172 1234
61 198 307 20922 00570 41716 41146 42286 1484535 1236 13019 1236 16928 1236
120 198 307 20929 00579 41646 41067 42224 1460735 1239 12785 1239 16689 1239
121 196 3 20937 00587 41576 40989 42163 1437358 1241 12556 1241 16454 1241
20944 00596 41506 40910 42101 1414394 1243 12331 1243 16223 1243
20952 00605 41436 40831 42040 1391836 1245 12110 1245 15997 1245
20959 00614 41366 40753 41980 1369676 1247 11892 1247 15775 1247
20967 00623 41297 40674 41919 1347906 1249 11679 1249 15557 1249
20974 00632 41227 40595 41859 1326519 1252 11469 1252 15343 1252
20982 00641 41158 40517 41799 1305508 1254 11263 1254 15132 1254
20989 00651 41089 40438 41739 1284864 1256 11061 1256 14925 1256
20997 00660 41019 40359 41680 1264582 1258 10862 1258 14722 1258
21004 00670 40950 40281 41620 1244654 1260 10667 1260 14522 1260
21012 00680 40882 40202 41561 1225073 1262 10476 1262 14326 1262
21019 00690 40813 40123 41502 1205832 1264 10288 1264 14133 1264
21027 00699 40744 40045 41444 1186927 1267 10104 1267 13943 1267
21034 00709 40676 39966 41385 1168348 1269 9923 1269 13757 1269
21041 00720 40607 39888 41327 1150092 1271 9745 1271 13573 1271
21049 00730 40539 39809 41269 1132151 1273 9570 1273 13393 1273
21056 00740 40471 39731 41211 1114520 1275 9399 1275 13216 1275
21063 00750 40403 39653 41153 1097192 1277 9231 1277 13041 1277
21071 00761 40335 39574 41096 1080163 1280 9066 1280 12869 1280
21078 00771 40267 39496 41038 1063425 1282 8904 1282 12700 1282
21085 00782 40199 39418 40981 1046975 1284 8745 1284 12534 1284
21093 00792 40132 39340 40924 1030806 1286 8589 1286 12370 1286
21100 00803 40064 39262 40867 1014914 1288 8436 1288 12209 1288
21107 00813 39997 39184 40810 999292 1290 8286 1290 12051 1290
21115 00824 39930 39106 40754 983936 1293 8139 1293 11895 1293
21122 00835 39863 39028 40697 968842 1295 7994 1295 11741 1295
21129 00845 39795 38950 40641 954003 1297 7853 1297 11590 1297
21136 00856 39729 38872 40585 939416 1299 7713 1299 11441 1299
21143 00867 39662 38795 40529 925076 1301 7577 1301 11295 1301
21151 00878 39595 38717 40473 910978 1303 7443 1303 11150 1303
21158 00889 39528 38640 40417 897117 1306 7311 1306 11008 1306
21165 00900 39462 38562 40362 883490 1308 7182 1308 10868 1308
21172 00911 39396 38485 40306 870092 1310 7055 1310 10730 1310
21179 00921 39329 38408 40251 856918 1312 6931 1312 10595 1312
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 3058 -1443 2485 2082 6178 -35867216599 SUMX -9210 -1443 24899 -15993 00719 30570 29851 31288 114017 00 966 00 1345 00
0031 4918 -1506 2692 2269 7246 -40544199354 SUMY 16942 -1506 27191 -15974 00706 30502 29796 31208 112243 00 954 00 1321 00 Regression Statistics
0029 6766 -1531 2830 2345 8011 -433394905 SUMXX 14154 -1531 28099 -15956 00693 30434 29740 31127 110504 00 942 00 1296 00 Multiple R 08824404681
0028 8397 -1552 2924 2409 8550 -45382863655 SUMYY 48049 -1552 28853 -15937 00681 30366 29685 31047 108799 00 930 00 1273 00 R Square 07787011797
0026 9581 -1578 2981 2491 8889 -47059517004 SUMXY -26064 -1578 29812 -15919 00669 30299 29630 30968 107127 00 918 00 1250 00 Adjusted R Square 07510388271
0025 10697 -1599 3029 2558 9176 -48447490003 SAKX 00156065368 -1599 30570 -15900 00657 30232 29575 30889 105489 00 907 00 1227 00 Standard Error 48757093885
SAKY (SAKtotal) 021 0000 -27478 -15882 00645 30165 29520 30811 103882 00 895 00 1205 00 Observations 10
SAPXY -0056644485 0000 -27478 -15864 00634 30099 29465 30733 102306 00 884 00 1184 00
XMEAN -15350567173 0000 -27478 -15845 00623 30033 29410 30655 100760 00 873 00 1163 00 ANOVA
YMEAN 2824 0000 -27478 -15827 00612 29967 29356 30579 99245 00 862 00 1143 00 df SS MS F Significance F
A1 -36295358692 -36295 -02755 0000 -27478 -15809 00601 29902 29301 30502 97758 00 851 00 1123 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 9404E+09 0000 -27478 -15791 00590 29836 29246 30427 96299 00 841 00 1103 00 Residual 8 1901803363282 23772542041
R2 0983 (X=00Y^-004) 0000 -27478 -15773 00580 29771 29191 30352 94868 00 830 00 1084 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 29706 29136 30277 93464 00 820 00 1066 00
F-VALUE 6940 0000 -27478 -15738 00561 29642 29081 30203 92087 00 809 00 1048 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -29766326417 -42824390967 0000 -27478 -15720 00552 29578 29026 30129 90735 00 799 00 1030 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 29514 28971 30057 89409 00 789 00 1013 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 29450 28916 29984 88107 00 779 00 996 00
Xmax 00360517444 -15667 00526 29387 28861 29913 86829 00 769 00 980 00
Variansanalysetabel -15650 00518 29323 28805 29842 85575 00 760 00 964 00
SAK f S2 F -15633 00511 29261 28750 29771 84343 00 750 00 949 00 RESIDUAL OUTPUT
Regress 02055931902 1 0206 23821 -15615 00503 29198 28694 29701 83135 00 740 00 934 00
Residual 0003 4 0001 -15598 00497 29135 28639 29632 81948 00 731 00 919 00 Observation Predicted Y Residuals Standard Residuals
Total 0209 5 -15581 00490 29073 28583 29563 80783 00 722 00 904 00 1 649620085731 04744116959 01032033599
-15564 00484 29011 28527 29496 79639 00 712 00 890 00 2 847353753756 81224337994 17669515023
-15547 00479 28950 28471 29428 78515 00 703 00 877 00 3 723989604863 -37728515527 -08207448511
-15530 00474 28888 28414 29362 77412 00 694 00 863 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -363 -15513 00469 28827 28358 29296 76328 00 685 00 850 00 5 802495136516 -30746271321 -06688533467
-15496 00465 28766 28301 29231 75264 00 676 00 838 00 6 781834750473 -45407034997 -0987783104
-15479 00461 28705 28244 29166 74218 00 667 00 825 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 28645 28187 29102 73191 00 659 00 813 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 28584 28130 29039 72182 00 650 00 801 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 28524 28072 28976 71190 00 642 00 790 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 28464 28014 28915 70216 00 633 00 779 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 28405 27956 28853 69259 00 625 00 768 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 28345 27898 28793 68319 00 616 00 757 00
6 24469 514 -15364 00447 28286 27839 28733 67394 00 608 00 747 00
7 23646 474 -15348 00447 28227 27780 28674 66486 00 600 00 737 00
8 2306 446 -15332 00447 28169 27721 28616 65593 00 592 00 727 00
9 22622 426 -15316 00448 28110 27662 28558 64715 00 584 00 717 00
10 22281 41 -15299 00449 28052 27603 28501 63853 00 576 00 708 00
11 2201 398 -15283 00451 27994 27543 28444 63005 00 568 00 699 00
12 21788 289 -15268 00453 27936 27483 28389 62171 00 560 00 690 00
13 21604 381 -15252 00455 27878 27423 28333 61351 00 552 00 681 00
14 21448 374 -15236 00458 27821 27363 28279 60545 00 545 00 673 00
15 21315 368 -15220 00461 27764 27302 28225 59752 00 537 00 664 00
16 21199 363 -15204 00465 27707 27242 28171 58973 00 530 00 656 00
17 21098 359 -15189 00469 27650 27181 28119 58207 00 523 00 648 00
18 21009 355 -15173 00473 27593 27120 28066 57453 00 515 00 641 00
19 2093 352 -15158 00478 27537 27059 28014 56711 00 508 00 633 00
20 2086 349 -15142 00483 27480 26998 27963 55982 00 501 00 626 00
21 20796 347 -15127 00488 27424 26936 27912 55265 00 494 00 618 00
22 20739 344 -15111 00494 27369 26875 27862 54559 00 487 00 611 00
23 2069 342 -15096 00499 27313 26814 27812 53865 00 480 00 604 00
24 2064 34 -15081 00506 27258 26752 27763 53182 00 473 00 597 00
25 206 339 -15065 00512 27202 26691 27714 52510 00 467 00 591 00
26 2056 337 -15050 00519 27147 26629 27666 51849 00 460 00 584 00
27 2052 335 -15035 00525 27093 26567 27618 51198 00 454 00 578 00
28 2048 334 -15020 00532 27038 26506 27570 50558 00 447 00 572 00
29 2045 333 -15005 00540 26983 26444 27523 49928 00 441 00 565 00
30 2042 332 -14990 00547 26929 26382 27476 49308 00 435 00 559 00
31 2021 323 -14975 00555 26875 26320 27430 48698 00 429 00 553 00
40 2021 323 -14960 00563 26821 26259 27384 48097 00 423 00 547 00
41 2 315 -14946 00571 26767 26197 27338 47506 00 417 00 542 00
60 2 315 -14931 00579 26714 26135 27293 46924 00 411 00 536 00
61 198 307 -14916 00587 26661 26074 27248 46351 00 405 00 531 00
120 198 307 -14902 00595 26607 26012 27203 45787 00 399 00 525 00
121 196 3 -14887 00604 26554 25951 27158 45232 00 394 00 520 00
-14872 00613 26502 25889 27114 44685 00 388 00 515 00
-14858 00621 26449 25828 27070 44147 00 383 00 509 00
-14843 00630 26397 25766 27027 43617 00 377 00 504 00
-14829 00639 26344 25705 26983 43095 00 372 00 499 00
-14815 00648 26292 25644 26940 42580 00 367 00 494 00
-14800 00657 26240 25583 26897 42074 00 362 00 489 00
-14786 00667 26188 25522 26855 41576 00 357 00 485 00
-14772 00676 26137 25461 26813 41084 00 352 00 480 00
-14758 00685 26085 25400 26771 40601 00 347 00 475 00
-14744 00695 26034 25339 26729 40124 00 342 00 471 00
-14729 00704 25983 25279 26687 39655 00 337 00 466 00
-14715 00714 25932 25218 26646 39192 00 333 00 462 00
-14701 00723 25881 25158 26604 38737 00 328 00 458 00
-14688 00733 25831 25098 26564 38288 00 323 00 453 00
-14674 00743 25780 25038 26523 37846 00 319 00 449 00
-14660 00752 25730 24978 26482 37410 00 315 00 445 00
-14646 00762 25680 24918 26442 36981 00 310 00 441 00
-14632 00772 25630 24858 26402 36558 00 306 00 437 00
-14618 00782 25580 24798 26362 36141 00 302 00 433 00
-14605 00792 25530 24739 26322 35730 00 298 00 429 00
-14591 00801 25481 24679 26282 35325 00 294 00 425 00
-14578 00811 25431 24620 26243 34926 00 290 00 421 00
-14564 00821 25382 24561 26204 34533 00 286 00 417 00
-14550 00831 25333 24502 26165 34145 00 282 00 413 00
-14537 00841 25284 24443 26126 33763 00 278 00 410 00
-14524 00851 25236 24384 26087 33386 00 274 00 406 00
-14510 00861 25187 24326 26048 33015 00 271 00 403 00
-14497 00871 25139 24267 26010 32648 00 267 00 399 00
-14484 00881 25090 24209 25972 32287 00 264 00 396 00
-14470 00891 25042 24151 25934 31932 00 260 00 392 00
-14457 00901 24994 24093 25896 31581 00 257 00 389 00
-14444 00911 24946 24035 25858 31235 00 253 00 385 00
-14431 00921 24899 23977 25820 30893 00 250 00 382 00
8482958466798 453198415510438
157762337339841 445011526968153
229919209664129 436988185343382
299317396308158 429124812025937
362939584809143 42141791349927
425182430469998 413864079156283
406459979175265
399202362454331
392088054602438
385113955985505
378277039825948
371574350354031
3650030010096
358560172692686
352243112061582
346049129876992
339975599390947
334019954779185
328179689615728
322452355388469
316835560054579
311326966634576
305924291843988
300625304761508
295427825532595
290329724107552
28532891901306
280423376156244
275611107660335
270890170731068
266258666552894
261714739214239
257256574660917
252882399676985
248590480892212
244379123815443
240246671893146
23619150559242
232212041507809
22830673149124
224474061804437
220712552293262
217020755583252
213397256295896
209840670285
206349643892635
202922853224091
199559003441363
196256828074617
193015088351196
189832572541652
186708095322343
183640497154179
180628643677042
177671425119486
174767755723285
171916573182442
16911683809627
166367533436157
16366766402567
161016256033615
158412356479738
155855032752697
153343372140009
150876481369642
148453486162936
146073530798571
143735777687276
141439406957002
139183616048281
136967619319522
134790647661941
132651948123926
130550783544548
128486432196003
126458187434752
12446535736111
122507264487102
120583245412343
118692650507738
116834843606817
115009201704496
113215114663065
111451984925241
10971922723408
10801626835959
106342546831866
10469751268058
103080627180672
101491362604075
99929201977326
98393638844908
96884177038201
95400330449854
93941622813496
92507587488613
91097767250473
89711714084978
88348988988316
87009161771285
85691810868186
3058254506667 11401660489024
4917921666667 11224254241385
6765733182963 11050353869471
8396677941728 10879875483775
9580641906173 10712737548677
1069682848 10548860806755
1038816820583
10230584828653
10076037825111
9924456346858
9775771484275
9629916205667
9486825298608
934643531335
9208684508213
9073512796881
8940861697535
8810674283738
8682895137025
8557470301108
8434347237659
8313474783592
8194803109801
8078283681286
796386921863
7851513660757
7741172128948
7632800892042
7526357332798
7421799915369
7319088153841
7218182581804
7119044722924
7021637062462
6925923019723
6831866921392
6739433975727
6648590247583
6559302634229
6471538841935
6385267363303
6300457455314
6217079118063
6135103074163
6054500748792
597524425036
5897306351775
5820660472292
5745280659917
5671141574349
559821847045
5526487182213
5455924107218
5386506191562
5318210915236
5251016277946
5184900785361
5119843435765
5055823707109
4992821544449
4930817347748
4869791960047
4809726655972
4750603130585
4692403488555
4635110233648
4578706258517
4523174834784
4468499603418
4414664565374
4361654072513
4309452818768
4258045831573
420741846352
4157556384267
410844557266
4060072309079
4012423168008
3965485010793
3919244978615
3873690485654
3828809212438
3784589099379
3741018340481
3698085377224
3655778892613
3614087805387
3573001264389
3532508643077
34925995342
3453263744596
3414491290147
3376272390858
3338597466066
3301457129784
326484218616
3228743625054
3193152617745
3158060512727
312345883164
3089339265284
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 84830 -1443 3929 2082 15433 -56691834105 SUMX -9210 -1443 39329 -15993 00719 46563 45844 47282 4531984 00 38407 00 53477 00
0031 157762 -1506 4198 2269 17623 -63231238203 SUMY 26153 -1506 42253 -15974 00706 46476 45770 47182 4442233 00 37758 00 52264 00 Regression Statistics
0029 229919 -1531 4362 2345 19023 -66787074357 SUMXX 14154 -1531 43412 -15956 00693 46390 45696 47083 4354634 00 37120 00 51085 00 Multiple R 08824404681
0028 299317 -1552 4476 2409 20036 -69470662987 SUMYY 114332 -1552 44373 -15937 00681 46303 45622 46984 4269127 00 36495 00 49939 00 R Square 07787011797
0026 362940 -1578 4560 2491 20792 -71974236821 SUMXY -40218 -1578 45596 -15919 00669 46218 45549 46886 4185652 00 35882 00 48826 00 Adjusted R Square 07510388271
0025 425182 -1599 4629 2558 21424 -74025743521 SAKX 00156065368 -1599 46563 -15900 00657 46132 45475 46789 4104154 00 35280 00 47743 00 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 -27478 -15882 00645 46047 45402 46692 4024578 00 34690 00 46692 00 Observations 10
SAPXY -00722510218 0000 -27478 -15864 00634 45963 45329 46596 3946870 00 34110 00 45670 00
XMEAN -15350567173 0000 -27478 -15845 00623 45878 45256 46501 3870979 00 33540 00 44676 00 ANOVA
YMEAN 4359 0000 -27478 -15827 00612 45794 45183 46406 3796854 00 32981 00 43710 00 df SS MS F Significance F
A1 -46295358692 -46295 -02160 0000 -27478 -15809 00601 45711 45110 46311 3724449 00 32432 00 42771 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 5262E+12 0000 -27478 -15791 00590 45627 45037 46218 3653716 00 31893 00 41858 00 Residual 8 1901803363282 23772542041
R2 0990 (X=00Y^-005) 0000 -27478 -15773 00580 45544 44964 46125 3584610 00 31362 00 40971 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 45462 44891 46032 3517086 00 30842 00 40108 00
F-VALUE 6940 0000 -27478 -15738 00561 45380 44819 45941 3451104 00 30330 00 39269 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -39766326417 -52824390967 0000 -27478 -15720 00552 45298 44746 45849 3386620 00 29826 00 38453 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 45216 44673 45759 3323595 00 29331 00 37660 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 45135 44601 45669 3261991 00 28844 00 36889 00
Xmax 00360517444 -15667 00526 45054 44528 45580 3201770 00 28366 00 36140 00
Variansanalysetabel -15650 00518 44973 44455 45491 3142896 00 27895 00 35411 00
SAK f S2 F -15633 00511 44893 44382 45404 3085332 00 27431 00 34702 00 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 -15615 00503 44813 44310 45316 3029046 00 26975 00 34013 00
Residual 0003 4 0001 -15598 00497 44733 44237 45230 2974003 00 26526 00 33343 00 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 -15581 00490 44654 44164 45144 2920172 00 26084 00 32692 00 1 649620085731 04744116959 01032033599
-15564 00484 44575 44091 45059 2867521 00 25649 00 32058 00 2 847353753756 81224337994 17669515023
-15547 00479 44496 44018 44975 2816020 00 25221 00 31442 00 3 723989604863 -37728515527 -08207448511
-15530 00474 44418 43944 44892 2765640 00 24799 00 30843 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -463 -15513 00469 44340 43871 44809 2716351 00 24383 00 30261 00 5 802495136516 -30746271321 -06688533467
-15496 00465 44262 43797 44727 2668126 00 23974 00 29694 00 6 781834750473 -45407034997 -0987783104
-15479 00461 44185 43724 44645 2620939 00 23571 00 29144 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 44107 43650 44565 2574762 00 23173 00 28608 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 44030 43576 44485 2529571 00 22782 00 28087 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 43954 43502 44406 2485341 00 22396 00 27581 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 43878 43427 44328 2442047 00 22016 00 27088 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 43802 43353 44250 2399668 00 21641 00 26608 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 43726 43278 44173 2358179 00 21272 00 26142 00
6 24469 514 -15364 00447 43650 43203 44097 2317559 00 20909 00 25688 00
7 23646 474 -15348 00447 43575 43128 44022 2277787 00 20551 00 25246 00
8 2306 446 -15332 00447 43500 43053 43947 2238842 00 20198 00 24816 00
9 22622 426 -15316 00448 43426 42978 43873 2200703 00 19851 00 24398 00
10 22281 41 -15299 00449 43351 42902 43800 2163352 00 19508 00 23990 00
11 2201 398 -15283 00451 43277 42827 43728 2126768 00 19171 00 23593 00
12 21788 289 -15268 00453 43203 42751 43656 2090935 00 18840 00 23207 00
13 21604 381 -15252 00455 43130 42675 43585 2055832 00 18513 00 22830 00
14 21448 374 -15236 00458 43057 42599 43515 2021444 00 18191 00 22463 00
15 21315 368 -15220 00461 42984 42522 43445 1987753 00 17875 00 22105 00
16 21199 363 -15204 00465 42911 42446 43376 1954742 00 17563 00 21756 00
17 21098 359 -15189 00469 42838 42370 43307 1922395 00 17257 00 21415 00
18 21009 355 -15173 00473 42766 42293 43239 1890697 00 16956 00 21083 00
19 2093 352 -15158 00478 42694 42217 43172 1859632 00 16659 00 20759 00
20 2086 349 -15142 00483 42623 42140 43105 1829186 00 16368 00 20442 00
21 20796 347 -15127 00488 42551 42063 43039 1799343 00 16081 00 20133 00
22 20739 344 -15111 00494 42480 41986 42974 1770091 00 15799 00 19831 00
23 2069 342 -15096 00499 42409 41910 42908 1741415 00 15522 00 19536 00
24 2064 34 -15081 00506 42338 41833 42844 1713302 00 15250 00 19248 00
25 206 339 -15065 00512 42268 41756 42780 1685738 00 14983 00 18966 00
26 2056 337 -15050 00519 42198 41679 42716 1658712 00 14720 00 18691 00
27 2052 335 -15035 00525 42128 41602 42653 1632212 00 14462 00 18421 00
28 2048 334 -15020 00532 42058 41526 42590 1606224 00 14209 00 18157 00
29 2045 333 -15005 00540 41989 41449 42528 1580737 00 13960 00 17899 00
30 2042 332 -14990 00547 41919 41372 42466 1555741 00 13716 00 17646 00
31 2021 323 -14975 00555 41850 41296 42405 1531224 00 13476 00 17399 00
40 2021 323 -14960 00563 41782 41219 42344 1507175 00 13241 00 17156 00
41 2 315 -14946 00571 41713 41143 42284 1483584 00 13009 00 16919 00
60 2 315 -14931 00579 41645 41066 42224 1460440 00 12783 00 16686 00
61 198 307 -14916 00587 41577 40990 42164 1437734 00 12560 00 16458 00
120 198 307 -14902 00595 41509 40914 42104 1415455 00 12341 00 16234 00
121 196 3 -14887 00604 41441 40838 42045 1393595 00 12127 00 16015 00
-14872 00613 41374 40761 41987 1372144 00 11916 00 15800 00
-14858 00621 41307 40686 41928 1351094 00 11710 00 15589 00
-14843 00630 41240 40610 41870 1330434 00 11507 00 15382 00
-14829 00639 41173 40534 41812 1310158 00 11309 00 15179 00
-14815 00648 41107 40459 41755 1290256 00 11114 00 14979 00
-14800 00657 41041 40383 41698 1270721 00 10922 00 14784 00
-14786 00667 40974 40308 41641 1251544 00 10735 00 14591 00
-14772 00676 40909 40233 41584 1232718 00 10551 00 14403 00
-14758 00685 40843 40158 41528 1214235 00 10370 00 14217 00
-14744 00695 40778 40083 41472 1196088 00 10193 00 14035 00
-14729 00704 40712 40008 41417 1178269 00 10019 00 13857 00
-14715 00714 40647 39934 41361 1160773 00 9849 00 13681 00
-14701 00723 40583 39859 41306 1143591 00 9682 00 13508 00
-14688 00733 40518 39785 41251 1126718 00 9518 00 13338 00
-14674 00743 40454 39711 41196 1110146 00 9357 00 13172 00
-14660 00752 40390 39637 41142 1093870 00 9199 00 13008 00
-14646 00762 40326 39564 41088 1077883 00 9044 00 12846 00
-14632 00772 40262 39490 41034 1062179 00 8892 00 12688 00
-14618 00782 40198 39417 40980 1046753 00 8743 00 12532 00
-14605 00792 40135 39344 40927 1031598 00 8597 00 12378 00
-14591 00801 40072 39271 40873 1016710 00 8454 00 12228 00
-14578 00811 40009 39198 40820 1002081 00 8313 00 12079 00
-14564 00821 39946 39125 40768 987708 00 8175 00 11933 00
-14550 00831 39884 39052 40715 973585 00 8040 00 11790 00
-14537 00841 39821 38980 40663 959706 00 7907 00 11648 00
-14524 00851 39759 38908 40610 946068 00 7777 00 11509 00
-14510 00861 39697 38836 40558 932664 00 7649 00 11372 00
-14497 00871 39635 38764 40507 919491 00 7524 00 11238 00
-14484 00881 39574 38693 40455 906543 00 7400 00 11105 00
-14470 00891 39512 38621 40404 893816 00 7280 00 10974 00
-14457 00901 39451 38550 40353 881306 00 7161 00 10846 00
-14444 00911 39390 38479 40302 869008 00 7045 00 10719 00
-14431 00921 39329 38408 40251 856918 00 6931 00 10595 00
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 05 2118 -0301 4486 0091 -06375616132 SUMX 12432 2118 -02966 20398 00719 05048 04330 05767 320 1096 3 1096 4 1096
122000 10 2086 0000 4353 0000 0 SUMY 1051 2086 00273 20407 00707 04961 04254 05668 313 1098 3 1098 4 1098 Regression Statistics
118533 15 2074 0176 4301 0031 03651851843 SUMXX 25762 2074 01557 20415 00696 04873 04177 05569 307 1100 3 1100 4 1100 Multiple R 08824404681
115733 20 2063 0301 4258 0091 06211628918 SUMYY 0598 2063 02622 20424 00684 04786 04101 05470 301 1102 3 1102 4 1102 R Square 07787011797
112267 25 2050 0398 4204 0158 08158768323 SUMXY 2138 2050 03977 20432 00673 04698 04025 05371 295 1105 3 1105 3 1105 Adjusted R Square 07510388271
109600 30 2040 0477 4161 0228 0973236971 SAKX 00039016342 2040 05048 20441 00662 04611 03949 05273 289 1107 2 1107 3 1107 Standard Error 48757093885
SAKY (SAKtotal) 041 0000 214314 20449 00651 04525 03873 05176 283 1109 2 1109 3 1109 Observations 10
SAPXY -00400271451 0000 214314 20458 00640 04438 03797 05078 278 1111 2 1111 3 1111
XMEAN 20719423346 0000 214314 20466 00630 04351 03721 04981 272 1113 2 1113 3 1113 ANOVA
YMEAN 0175 0000 214314 20474 00620 04265 03645 04885 267 1115 2 1115 3 1115 df SS MS F Significance F
A1 -102590717384 -102591 -00975 0000 214314 20483 00609 04179 03569 04788 262 1118 2 1118 3 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 21431 27002074746314896000000 1361E-220 0000 214314 20491 00600 04093 03493 04692 257 1120 2 1120 3 1120 Residual 8 1901803363282 23772542041
R2 0992 (X=2700207474631490000000Y^-010) 0000 214314 20500 00590 04007 03417 04597 252 1122 2 1122 3 1122 Total 9 8593825130074
T-VALUE 2776 0000 214314 20508 00580 03921 03341 04502 247 1124 2 1124 3 1124
F-VALUE 6940 0000 214314 20516 00571 03836 03264 04407 242 1126 2 1126 3 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 13058064549 -89532652835 -115648781933 0000 214314 20525 00562 03750 03188 04313 237 1128 2 1128 3 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 21398 21465 0000 214314 20533 00554 03665 03112 04219 233 1131 2 1131 3 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 214314 20541 00545 03580 03035 04125 228 1133 2 1133 3 1133
Xmax 1312 20549 00537 03495 02958 04032 224 1135 2 1135 3 1135
Variansanalysetabel 20558 00529 03410 02881 03940 219 1137 2 1137 2 1137
SAK f S2 F 20566 00521 03326 02804 03847 215 1139 2 1139 2 1139 RESIDUAL OUTPUT
Regress 04106413531 1 0411 47580 20574 00514 03242 02727 03756 211 1141 2 1141 2 1141
Residual 0003 4 0001 20582 00507 03157 02650 03664 207 1144 2 1144 2 1144 Observation Predicted Y Residuals Standard Residuals
Total 0414 5 20591 00501 03073 02573 03574 203 1146 2 1146 2 1146 1 649620085731 04744116959 01032033599
20599 00494 02989 02495 03484 199 1148 2 1148 2 1148 2 847353753756 81224337994 17669515023
20607 00488 02906 02417 03394 195 1150 2 1150 2 1150 3 723989604863 -37728515527 -08207448511
20615 00483 02822 02339 03305 192 1152 2 1152 2 1152 4 839679896083 35389412933 07698600923
N = 2700E+21 S^ -1026 20623 00478 02738 02261 03216 188 1154 2 1154 2 1154 5 802495136516 -30746271321 -06688533467
20631 00473 02655 02182 03128 184 1156 2 1156 2 1156 6 781834750473 -45407034997 -0987783104
20639 00468 02572 02104 03040 181 1159 2 1159 2 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 02489 02025 02953 177 1161 2 1161 2 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 02406 01946 02867 174 1163 2 1163 2 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 02324 01866 02781 171 1165 2 1165 2 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 02241 01786 02696 168 1167 2 1167 2 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 02159 01706 02611 164 1169 1 1169 2 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 02076 01626 02527 161 1172 1 1172 2 1172
6 24469 514 20696 00449 01994 01546 02443 158 1174 1 1174 2 1174
7 23646 474 20704 00448 01912 01465 02360 155 1176 1 1176 2 1176
8 2306 446 20712 00447 01831 01384 02278 152 1178 1 1178 2 1178
9 22622 426 20720 00447 01749 01302 02196 150 1180 1 1180 2 1180
10 22281 41 20728 00447 01668 01221 02115 147 1182 1 1182 2 1182
11 2201 398 20736 00448 01586 01139 02034 144 1185 1 1185 2 1185
12 21788 289 20743 00449 01505 01056 01954 141 1187 1 1187 2 1187
13 21604 381 20751 00450 01424 00974 01874 139 1189 1 1189 2 1189
14 21448 374 20759 00452 01343 00891 01795 136 1191 1 1191 2 1191
15 21315 368 20767 00455 01262 00808 01717 134 1193 1 1193 1 1193
16 21199 363 20775 00457 01182 00725 01639 131 1195 1 1195 1 1195
17 21098 359 20783 00460 01101 00641 01562 129 1198 1 1198 1 1198
18 21009 355 20791 00464 01021 00557 01485 127 1200 1 1200 1 1200
19 2093 352 20798 00468 00941 00473 01409 124 1202 1 1202 1 1202
20 2086 349 20806 00472 00861 00389 01333 122 1204 1 1204 1 1204
21 20796 347 20814 00477 00781 00305 01258 120 1206 1 1206 1 1206
22 20739 344 20822 00482 00701 00220 01183 118 1208 1 1208 1 1208
23 2069 342 20830 00487 00622 00135 01109 115 1210 1 1210 1 1210
24 2064 34 20837 00492 00542 00050 01035 113 1213 1 1213 1 1213
25 206 339 20845 00498 00463 -00035 00961 111 1215 1 1215 1 1215
26 2056 337 20853 00504 00384 -00120 00888 109 1217 1 1217 1 1217
27 2052 335 20860 00511 00305 -00206 00816 107 1219 1 1219 1 1219
28 2048 334 20868 00517 00226 -00291 00743 105 1221 1 1221 1 1221
29 2045 333 20876 00524 00147 -00377 00672 103 1223 1 1223 1 1223
30 2042 332 20883 00531 00069 -00463 00600 102 1226 1 1226 1 1226
31 2021 323 20891 00539 -00010 -00548 00529 100 1228 1 1228 1 1228
40 2021 323 20899 00546 -00088 -00634 00458 098 1230 1 1230 1 1230
41 2 315 20906 00554 -00166 -00720 00388 096 1232 1 1232 1 1232
60 2 315 20914 00562 -00244 -00806 00318 095 1234 1 1234 1 1234
61 198 307 20922 00570 -00322 -00892 00248 093 1236 1 1236 1 1236
120 198 307 20929 00579 -00400 -00978 00179 091 1239 1 1239 1 1239
121 196 3 20937 00587 -00478 -01065 00110 090 1241 1 1241 1 1241
20944 00596 -00555 -01151 00041 088 1243 1 1243 1 1243
20952 00605 -00632 -01237 -00028 086 1245 1 1245 1 1245
20959 00614 -00710 -01323 -00096 085 1247 1 1247 1 1247
20967 00623 -00787 -01409 -00164 083 1249 1 1249 1 1249
20974 00632 -00864 -01496 -00232 082 1252 1 1252 1 1252
20982 00641 -00941 -01582 -00299 081 1254 1 1254 1 1254
20989 00651 -01017 -01668 -00367 079 1256 1 1256 1 1256
20997 00660 -01094 -01754 -00434 078 1258 1 1258 1 1258
21004 00670 -01170 -01840 -00500 076 1260 1 1260 1 1260
21012 00680 -01247 -01926 -00567 075 1262 1 1262 1 1262
21019 00690 -01323 -02012 -00633 074 1264 1 1264 1 1264
21027 00699 -01399 -02098 -00699 072 1267 1 1267 1 1267
21034 00709 -01475 -02184 -00765 071 1269 1 1269 1 1269
21041 00720 -01550 -02270 -00831 070 1271 1 1271 1 1271
21049 00730 -01626 -02356 -00896 069 1273 1 1273 1 1273
21056 00740 -01702 -02442 -00962 068 1275 1 1275 1 1275
21063 00750 -01777 -02527 -01027 066 1277 1 1277 1 1277
21071 00761 -01852 -02613 -01092 065 1280 1 1280 1 1280
21078 00771 -01927 -02699 -01156 064 1282 1 1282 1 1282
21085 00782 -02002 -02784 -01221 063 1284 1 1284 1 1284
21093 00792 -02077 -02869 -01285 062 1286 1 1286 1 1286
21100 00803 -02152 -02955 -01349 061 1288 1 1288 1 1288
21107 00813 -02227 -03040 -01413 060 1290 0 1290 1 1290
21115 00824 -02301 -03125 -01477 059 1293 0 1293 1 1293
21122 00835 -02376 -03210 -01541 058 1295 0 1295 1 1295
21129 00845 -02450 -03295 -01605 057 1297 0 1297 1 1297
21136 00856 -02524 -03380 -01668 056 1299 0 1299 1 1299
21143 00867 -02598 -03465 -01731 055 1301 0 1301 1 1301
21151 00878 -02672 -03550 -01794 054 1303 0 1303 1 1303
21158 00889 -02746 -03634 -01857 053 1306 0 1306 1 1306
21165 00900 -02819 -03719 -01920 052 1308 0 1308 1 1308
21172 00911 -02893 -03803 -01982 051 1310 0 1310 1 1310
21179 00921 -02966 -03888 -02045 051 1312 0 1312 1 1312
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
8482958466798 453198415509923
157762337339841 444223298518267
229919209664129 435463395651789
299317396308158 426912655401948
362939584809143 418565221258607
425182430469998 410415424632938
402457778065734
394686968708487
387097852065186
379685445983355
372444924883448
365371614216194
35846098513798
351708649394869
345110354406237
338661978539499
332359526567722
326199125302371
320177019393754
314289567292081
308533237362397
302904604146922
297400344768675
292017235470486
286752148283813
281602047821987
276563988192795
271635110025519
266812637607734
262093876127455
257476209016332
252957095389845
248534067580594
244204728760957
239966750651574
235817871312228
23175589301187
227778680174694
223884157399223
220070307547618
216335169902413
212676838388095
209093459855011
205583232423197
202144403883818
198775270156044
195474173797216
192239502564294
189069688024643
185963204214298
182918566341916
179934329536705
177009087638707
174141472029822
171330150504106
168573826175856
165871236424115
16322115187225
160622375401323
158073741196027
155574113821997
15312238733337
150717484409499
148358355519769
146043978115519
143773355848089
141545517812079
139359517812904
137214433657812
135109366469516
133043440021664
131015800095362
129025613856046
127072069249961
125154374419592
12327175713739
121423464257146
119608761182432
117826931351499
116077275738105
114359112367685
112671775848397
111014616916491
109387001995557
107788312769166
106217945766462
104675311960271
103159836377317
101670957720132
10020812800029
98770812182574
97358487839736
9597064481748
94606784909365
93266421541272
91949079465149
90654294461729
89381613051922
88130592216609
86900799124579
85691810868326
05 31976750428
1 31337340646
15 30711935499
2 30100201659
25 29501814358
3 28916457161
28343821727
27783607596
27235521965
26699279482
26174602045
25661218598
25158864946
24667283564
24186223417
23715439788
23254694103
22803753765
22362392
21930387691
21507525235
21093594389
20688390133
20291712524
19903366566
19523162079
19150913566
18786440095
18429565175
18080116642
1773792654
17402831016
1707467021
1675328815
16438532653
16130255221
15828310953
15532558443
15242859697
14959080039
14681088029
14408755377
14141956865
13880570262
13624476257
13373558376
13127702911
12886798854
12650737823
12419413998
12192724054
11970567102
11752844621
11539460405
11330320499
11125333147
10924408733
1072745973
10534400646
10345147975
10159620146
09977737475
0979942212
09624598031
09453190911
09285128169
0912033888
08958753741
08800305035
0864492659
0849255374
08343123292
08196573485
0805284396
07911875721
07773611107
07637993755
07504968573
07374481705
07246480503
071209135
06997730378
06876881942
06758320095
06641997808
06527869097
06415888997
06306013539
06198199726
06092405508
05988589762
0588671227
05786733694
05688615561
05592320238
05497810915
05405051585
05314007022
05224642769
05136925114
05050821079
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
POLYTEC results
vo [ms] 140 Regn intensitet 325 mmh droplet volume 00000000042
vi [ms] 110 droplet speed 6 ms droplet size 2 mm 2
r0-ri [m] 0225 mass 00000041888 kg 00000031416
omega [rads] 133 1000 2
rpm 1273 Tid Regnmaeligngde slid [mm] hastighed cinetic energy Hitsm2s failure at failure at power function failure failure at acc impact energy 3
rotor diam 21 [hrs] [min] [sec] [J] hitsm2 hitscm2 hitsm2 hits2 mm circle [Jcm2]
05 300 18000 163 66 131 00360517444 47128 85E+07 85E+03 858E+07 27E+02 31E+02
10 600 36000 325 135 122 00311729767 43823 16E+08 16E+04 168259557551256 50E+02 49E+02
15 900 54000 488 161 119 00294265677 42578 23E+08 23E+04 219739821326208 72E+02 68E+02
20 1200 72000 650 182 116 00280527562 41572 30E+08 30E+04 27418672140055 94E+02 84E+02
25 1500 90000 813 208 112 00263973463 40327 36E+08 36E+04 363370031336381 11E+03 96E+02
30 1800 108000 975 228 110 00251582091 39369 43E+08 43E+04 453968838852237 13E+03 11E+03
c= 17872
325 100 10 m= 463
percent of time hours pr year rain intensity rain rate fall speed droplet size droplet size rain relative volume 1 droplet volume dropletsm3 density mass blade tip speed cinetic energy hitsm2s hitsm2hr hitscm2s hitscm2hr power function impacts to failure hours to failure mm to failure fraction of life spent pr year fraction of life spent pr year reduced production
[hrsyear] [mmhr] ms ms [mm] m [-] [m3] [kgm3] kg [ms] [m-2hr-1] [cm-2s-1] [cm-2hr-1] [m-2] [hrs] []
002 1752 20 00000055556 6 25 00025 00000009259 00000000082 113 1000 00000081812 700 00200440156 7922 285E+07 07922379389 2852 130E+09 456E+01 912 0038 384 00000888889
01 876 10 00000027778 6 2 0002 0000000463 00000000042 111 1000 00000041888 800 00134041287 8842 318E+07 08841941283 3183 838E+09 263E+02 2632 0033 333 00001111111
1 876 5 00000013889 6 15 00015 00000002315 00000000018 131 1000 00000017671 900 00071569408 11789 424E+07 11789255044 4244 153E+11 361E+03 18029 0024 243 0
3 2628 2 00000005556 6 1 0001 00000000926 00000000005 177 1000 00000005236 900 0002120575 15915 573E+07 15915494309 5730 427E+13 746E+05 1491421 0000 004 0
5 438 1 00000002778 6 05 00005 00000000463 00000000001 707 1000 00000000654 900 00002650719 63662 229E+08 63661977237 22918 649E+17 283E+09 2830197826 0000 000 0
2 0002 1000 800 00134041287 sum fraction 0096 9637
rpm ms D rotor lifetime years 10377 10377
SWP 23-106 16 904778684234 108
6 339292006588 108
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
Page 7: On leading edge erosion at turbine blades due to heavy

DTU Wind Energy1 May 2019

Rain erosion test example

7

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Rain erosion test data plotted as a Woumlhler curve

8

Bech et al 2018 WES

D is drop sizevt is blade speed

Impacts per unit area to failure as function of the kinetic energy for each impact

DTU Wind Energy1 May 2019

Woumlhler curves for droplet diameters of 15 20 and 25 mm

9

RET is Rain Erosion Test

Bech et al 2018 WES

Chart1

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

life model polytech data

Jakob Ilsted Bechantaget
Jakob Ilsted Bechantaget
Jakob Ilsted Bechcinetic energy with diameter

life model polytech data

kinetic energy [J]
impactsm2
rain impact fatigue

impact fatigue V-N

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

impact fatigue (4)

N_Ei=18lowast(112 ρπ)^(-463) 〖v_t〗^(-926) D^(-1389)
N_Ei=clowast(112 〖ρπD〗^3 v_t^2 )^(-m)

fig 3

Fit
Time to removed coating [hrs]
Local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

fig 4

Fit
Impactsarea to removed coating [cm-2]
Kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig5 v-N

RET results
15 mm
20 mm
25 mm
Impactsarea to removed coating [cm-2]
Local rotor speed [ms]
1312
60
60
60
122
65
65
65
1185333333333
70
70
70
1157333333333
75
75
75
1122666666667
80
80
80
1096
85
85
85
90
90
90
95
95
95
100
100
100
105
105
105
110
110
110
115
115
115
120
120
120
125
125
125
130
130
130
135
135
135
140
140
140
145
145
145
150
150
150
155
155
155
160
160
160
165
165
165
170
170
170
175
175
175
180
180
180

ASTM E739 stat (timespeed)

ASTM E739 stat (impactsenergy)

fig accu energ

Fit
accumulated imapct energy [Jcm-2]
kinetic energy of impact [J]
00360517444
00251582091
00311729767
00252671444
00294265677
00253760798
00280527562
00254850151
00263973463
00255939505
00251582091
00257028858
00258118212
00259207565
00260296919
00261386273
00262475626
0026356498
00264654333
00265743687
0026683304
00267922394
00269011747
00270101101
00271190454
00272279808
00273369161
00274458515
00275547869
00276637222
00277726576
00278815929
00279905283
00280994636
0028208399
00283173343
00284262697
0028535205
00286441404
00287530757
00288620111
00289709464
00290798818
00291888172
00292977525
00294066879
00295156232
00296245586
00297334939
00298424293
00299513646
00300603
00301692353
00302781707
0030387106
00304960414
00306049768
00307139121
00308228475
00309317828
00310407182
00311496535
00312585889
00313675242
00314764596
00315853949
00316943303
00318032656
0031912201
00320211363
00321300717
00322390071
00323479424
00324568778
00325658131
00326747485
00327836838
00328926192
00330015545
00331104899
00332194252
00333283606
00334372959
00335462313
00336551667
0033764102
00338730374
00339819727
00340909081
00341998434
00343087788
00344177141
00345266495
00346355848
00347445202
00348534555
00349623909
00350713262
00351802616
0035289197
00353981323
00355070677
0035616003
00357249384
00358338737
00359428091
00360517444

fig

Fit
impacts to erosion [cm-2]
local rotor speed [ms]
1312
1096
122
109816
1185333333333
110032
1157333333333
110248
1122666666667
110464
1096
11068
110896
111112
111328
111544
11176
111976
112192
112408
112624
11284
113056
113272
113488
113704
11392
114136
114352
114568
114784
115
115216
115432
115648
115864
11608
116296
116512
116728
116944
11716
117376
117592
117808
118024
11824
118456
118672
118888
119104
11932
119536
119752
119968
120184
1204
120616
120832
121048
121264
12148
121696
121912
122128
122344
12256
122776
122992
123208
123424
12364
123856
124072
124288
124504
12472
124936
125152
125368
125584
1258
126016
126232
126448
126664
12688
127096
127312
127528
127744
12796
128176
128392
128608
128824
12904
129256
129472
129688
129904
13012
130336
130552
130768
130984
1312

ASTM E739 stat (impactsacc en)

ASTM E739 stat (impactsspeed)

DTU Wind Energy1 May 2019

Extending lifetime

10

DTU Wind Energy1 May 2019

Assumptions

11

Bech et al 2018 WES

Weibull Abull 7 msbull 8 msbull 9 ms

Wind turbine Rain climate Wind climate

Vestas V52 850 kW pitch regulated variable speed and modified rotation speed to make it consistent with larger turbines

The temperate maritime climateof occurences of rain intensity is taken from Jones and Sims 1978

DTU Wind Energy1 May 2019

Control strategies

12

Apart from a reference case where it is assumed that there is no erosion six different control strate

on the model for expected lifetime for the blade leading edge

bull Control strategy 1 with expected life time of 16 years bull Control strategy 2 with expected life time of 104 years bull Control strategy 3 with expected life time of 244 years bull Control strategy 4 with expected life time of 539 years bull Control strategy 5 with expected life time of 1065 years bull Control strategy 6 with expected life time of infinite many years

No reduction (90 ms)

Reduction rdquolightrdquo 80 ms and 70 ms

Reduction rdquosevererdquo 55ms 65ms and 70ms

Idealized

Bech et al 2018 WES

DTU Wind Energy1 May 2019 13

Life time of the blade leading edge with no reduction of the tip speed Control strategy 1

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 90 35 51 10 20 01 88 90 79 11 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 64

Expected life [years] 16

Bech et al 2018 WES

DTU Wind Energy1 May 2019 14

Life time of the blade leading edge with reduction of the tip speed to 70ms and 80msControl strategy 2

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 70 46 38 10 20 01 88 80 263 33 5 15 1 88 90 3606 24 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 96

Expected life [years] 104

Bech et al 2018 WES

DTU Wind Energy1 May 2019 15

Life time of the blade leading edge with reduction of the tip speed to 55ms 65ms and 70msControl strategy 5

Rain intensity

Droplet size

Percent of time

Hours pr year

Blade tip speed

Hours to failure

Fraction of life spent pr year

[mmhr] [mm] [] [hrsyear] [ms] [hrs] []

20 25 002 18 55 541 03 10 20 01 88 65 2215 04 5 15 1 88 70 47514 02 2 10 3 263 90 745710 00 1 05 5 438 90 2830197826 00

Sum of fractions [] 09

Expected life [years] 107

Bech et al 2018 WES

DTU Wind Energy1 May 2019

AEP relative to AEP with no erosion

16

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019 17

bull Energy price o 50 euroMWh o 250 euroMWh

bull Inspection cost o 500 eurorotor o 1500 eurorotor

bull Repair cost o 10000 eurorotor o 20000 eurorotor

Stand still of 1 day inspected

Stand still of 2 days repaired

Cost of operation and maintenance

Bech et al 2018 WES

DTU Wind Energy1 May 2019

Loss of income due to erosion inspection and repair

18

Weibull A parameter

Bech et al 2018 WES

DTU Wind Energy1 May 2019

In what geography is leading edge erosion a challenge

19

DTU Wind Energy1 May 2019

Rainfall erosivity (for soils)

20

Rainfall erosivity for soils is modelled as a function of the kinetic energy of rain the maximum intensity of rainfall the cumulative rainfall the soil properties and the slopes of terrain The map on rainfall erosivity in Europe at 500 m spatial resolution assessed by European Soil Data Centre (Panagos et al 2015)

A map for wind turbine blades is in preparation in the EROSION research project

Rainfall erosivity (for wind turbine blades)

DTU Wind Energy1 May 2019

Conclusions

21

A framework for prediction and a mitigation strategy for leading edge erosion was presented

The model takes into account the entire value chain leading edge test data actual on site precipitation erosion rate loss of production due to erosion operation and maintenance

The lost energy production due to occasional tip speed reduction is marginal in proportion to the alternative of lost production due to eroded blades

Thus the cost ndash benefit balance of erosion control looks very promising and shows a great potential for reducing the loss of produced energy due to erosion and the cost of operation and maintenance

To accomplish erosion control there is a need for more knowledge on the correlation between precipitation and erosion for different leading edge structures and materials and for development of methods and equipment for on-site now casting of precipitation

DTU Wind Energy1 May 2019

Reading

22

DTU Wind Energy1 May 2019

Acknowledgements

23

Support from Innovation Fund Denmark is acknowledged

wwwrain-erosiondk

  • Slide Number 1
  • Slide Number 2
  • Motivation
  • Working hypothesis
  • Slide Number 5
  • Simulated power curves for the Vestas V52 for different leading edge roughness levels
  • Rain erosion test example
  • Rain erosion test data plotted as a Woumlhler curve
  • Woumlhler curves for droplet diameters of 15 20 and 25 mm
  • Extending lifetime
  • Assumptions
  • Control strategies
  • Slide Number 13
  • Slide Number 14
  • Slide Number 15
  • AEP relative to AEP with no erosion
  • Cost of operation and maintenance
  • Loss of income due to erosion inspection and repair
  • In what geography is leading edge erosion a challenge
  • Rainfall erosivity (for soils)
  • Conclusions
  • Reading
  • Acknowledgements
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 84830 2118 3929 4486 15433 83204033354 SUMX 12432 2118 39329 20398 00719 46563 45844 47282 4531984 1096 38407 1096 53477 1096
122000 157762 2086 4198 4353 17623 87585455209 SUMY 26153 2086 42253 20407 00707 46484 45777 47191 4450115 1098 37815 1098 52370 1098 Regression Statistics
118533 229919 2074 4362 4301 19023 90452114031 SUMXX 25762 2074 43412 20415 00696 46405 45709 47100 4369882 1100 37232 1100 51289 1100 Multiple R 08824404681
115733 299317 2063 4476 4258 20036 92363123663 SUMYY 114332 2063 44373 20424 00684 46326 45642 47010 4291248 1102 36657 1102 50235 1102 R Square 07787011797
112267 362940 2050 4560 4204 20792 93488041277 SUMXY 54151 2050 45596 20432 00673 46247 45574 46920 4214179 1105 36092 1105 49205 1105 Adjusted R Square 07510388271
109600 425182 2040 4629 4161 21424 94414167683 SAKX 00039016342 2040 46563 20441 00662 46169 45507 46831 4138641 1107 35535 1107 48201 1107 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 235430 20449 00651 46090 45439 46741 4064600 1109 34987 1109 47220 1109 Observations 10
SAPXY -00361255109 0000 235430 20458 00640 46012 45372 46652 3992024 1111 34447 1111 46263 1111
XMEAN 20719423346 0000 235430 20466 00630 45934 45304 46564 3920881 1113 33915 1113 45329 1113 ANOVA
YMEAN 4359 0000 235430 20474 00620 45856 45236 46475 3851140 1115 33391 1115 44417 1115 df SS MS F Significance F
A1 -92590717384 -92591 -01080 0000 235430 20483 00609 45778 45169 46388 3782770 1118 32875 1118 43527 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 23543 3491729856497833400000000 1031E-218 0000 235430 20491 00600 45700 45101 46300 3715744 1120 32366 1120 42658 1120 Residual 8 1901803363282 23772542041
R2 0990 (X=349172985649783000000000Y^-009) 0000 235430 20500 00590 45623 45033 46213 3650030 1122 31864 1122 41811 1122 Total 9 8593825130074
T-VALUE 2776 0000 235430 20508 00580 45546 44965 46126 3585602 1124 31370 1124 40983 1124
F-VALUE 6940 0000 235430 20516 00571 45468 44897 46040 3522431 1126 30883 1126 40176 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 1305806455 -79532652834 -105648781934 0000 235430 20525 00562 45391 44829 45954 3460491 1128 30403 1128 39388 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 23510 23576 0000 235430 20533 00554 45314 44761 45868 3399756 1131 29929 1131 38619 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 235430 20541 00545 45238 44693 45783 3340200 1133 29462 1133 37869 1133
Xmax 1312 20549 00537 45161 44624 45698 3281797 1135 29001 1135 37137 1135
Variansanalysetabel 20558 00529 45085 44556 45614 3224524 1137 28547 1137 36423 1137
SAK f S2 F 20566 00521 45008 44487 45530 3168356 1139 28099 1139 35726 1139 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 20574 00514 44932 44418 45446 3113270 1141 27657 1141 35046 1141
Residual 0003 4 0001 20582 00507 44856 44349 45363 3059243 1144 27220 1144 34382 1144 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 20591 00501 44780 44280 45281 3006253 1146 26790 1146 33735 1146 1 649620085731 04744116959 01032033599
20599 00494 44705 44210 45199 2954278 1148 26365 1148 33104 1148 2 847353753756 81224337994 17669515023
20607 00488 44629 44141 45117 2903297 1150 25945 1150 32488 1150 3 723989604863 -37728515527 -08207448511
20615 00483 44553 44071 45036 2853289 1152 25531 1152 31888 1152 4 839679896083 35389412933 07698600923
N = 3492E+23 S^ -926 20623 00478 44478 44001 44956 2804234 1154 25122 1154 31302 1154 5 802495136516 -30746271321 -06688533467
20631 00473 44403 43930 44876 2756111 1156 24719 1156 30730 1156 6 781834750473 -45407034997 -0987783104
20639 00468 44328 43860 44796 2708902 1159 24320 1159 30173 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 44253 43789 44717 2662587 1161 23927 1161 29630 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 44178 43718 44639 2617147 1163 23538 1163 29100 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 44104 43646 44561 2572566 1165 23154 1165 28583 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 44029 43575 44484 2528824 1167 22775 1167 28079 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 43955 43503 44407 2485905 1169 22401 1169 27587 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 43881 43430 44331 2443791 1172 22031 1172 27107 1172
6 24469 514 20696 00449 43807 43358 44255 2402467 1174 21666 1174 26640 1174
7 23646 474 20704 00448 43733 43285 44180 2361915 1176 21306 1176 26184 1176
8 2306 446 20712 00447 43659 43212 44106 2322120 1178 20950 1178 25739 1178
9 22622 426 20720 00447 43585 43138 44032 2283067 1180 20599 1180 25305 1180
10 22281 41 20728 00447 43512 43065 43959 2244741 1182 20252 1182 24881 1182
11 2201 398 20736 00448 43438 42991 43886 2207126 1185 19909 1185 24468 1185
12 21788 289 20743 00449 43365 42916 43814 2170208 1187 19571 1187 24065 1187
13 21604 381 20751 00450 43292 42842 43742 2133973 1189 19238 1189 23671 1189
14 21448 374 20759 00452 43219 42767 43671 2098407 1191 18909 1191 23287 1191
15 21315 368 20767 00455 43146 42691 43601 2063496 1193 18584 1193 22912 1193
16 21199 363 20775 00457 43073 42616 43531 2029229 1195 18264 1195 22546 1195
17 21098 359 20783 00460 43001 42540 43461 1995590 1198 17949 1198 22188 1198
18 21009 355 20791 00464 42928 42464 43392 1962568 1200 17637 1200 21838 1200
19 2093 352 20798 00468 42856 42388 43324 1930151 1202 17331 1202 21497 1202
20 2086 349 20806 00472 42784 42312 43256 1898326 1204 17028 1204 21163 1204
21 20796 347 20814 00477 42712 42235 43188 1867081 1206 16730 1206 20836 1206
22 20739 344 20822 00482 42640 42158 43121 1836405 1208 16437 1208 20517 1208
23 2069 342 20830 00487 42568 42081 43055 1806286 1210 16148 1210 20205 1210
24 2064 34 20837 00492 42496 42004 42988 1776714 1213 15863 1213 19900 1213
25 206 339 20845 00498 42425 41927 42923 1747678 1215 15583 1215 19601 1215
26 2056 337 20853 00504 42353 41849 42857 1719166 1217 15307 1217 19308 1217
27 2052 335 20860 00511 42282 41771 42792 1691168 1219 15036 1219 19022 1219
28 2048 334 20868 00517 42211 41693 42728 1663675 1221 14769 1221 18741 1221
29 2045 333 20876 00524 42140 41615 42664 1636677 1223 14506 1223 18466 1223
30 2042 332 20883 00531 42069 41537 42600 1610163 1226 14247 1226 18197 1226
31 2021 323 20891 00539 41998 41459 42537 1584124 1228 13993 1228 17933 1228
40 2021 323 20899 00546 41927 41381 42473 1558550 1230 13743 1230 17675 1230
41 2 315 20906 00554 41857 41303 42411 1533434 1232 13498 1232 17421 1232
60 2 315 20914 00562 41786 41224 42348 1508765 1234 13256 1234 17172 1234
61 198 307 20922 00570 41716 41146 42286 1484535 1236 13019 1236 16928 1236
120 198 307 20929 00579 41646 41067 42224 1460735 1239 12785 1239 16689 1239
121 196 3 20937 00587 41576 40989 42163 1437358 1241 12556 1241 16454 1241
20944 00596 41506 40910 42101 1414394 1243 12331 1243 16223 1243
20952 00605 41436 40831 42040 1391836 1245 12110 1245 15997 1245
20959 00614 41366 40753 41980 1369676 1247 11892 1247 15775 1247
20967 00623 41297 40674 41919 1347906 1249 11679 1249 15557 1249
20974 00632 41227 40595 41859 1326519 1252 11469 1252 15343 1252
20982 00641 41158 40517 41799 1305508 1254 11263 1254 15132 1254
20989 00651 41089 40438 41739 1284864 1256 11061 1256 14925 1256
20997 00660 41019 40359 41680 1264582 1258 10862 1258 14722 1258
21004 00670 40950 40281 41620 1244654 1260 10667 1260 14522 1260
21012 00680 40882 40202 41561 1225073 1262 10476 1262 14326 1262
21019 00690 40813 40123 41502 1205832 1264 10288 1264 14133 1264
21027 00699 40744 40045 41444 1186927 1267 10104 1267 13943 1267
21034 00709 40676 39966 41385 1168348 1269 9923 1269 13757 1269
21041 00720 40607 39888 41327 1150092 1271 9745 1271 13573 1271
21049 00730 40539 39809 41269 1132151 1273 9570 1273 13393 1273
21056 00740 40471 39731 41211 1114520 1275 9399 1275 13216 1275
21063 00750 40403 39653 41153 1097192 1277 9231 1277 13041 1277
21071 00761 40335 39574 41096 1080163 1280 9066 1280 12869 1280
21078 00771 40267 39496 41038 1063425 1282 8904 1282 12700 1282
21085 00782 40199 39418 40981 1046975 1284 8745 1284 12534 1284
21093 00792 40132 39340 40924 1030806 1286 8589 1286 12370 1286
21100 00803 40064 39262 40867 1014914 1288 8436 1288 12209 1288
21107 00813 39997 39184 40810 999292 1290 8286 1290 12051 1290
21115 00824 39930 39106 40754 983936 1293 8139 1293 11895 1293
21122 00835 39863 39028 40697 968842 1295 7994 1295 11741 1295
21129 00845 39795 38950 40641 954003 1297 7853 1297 11590 1297
21136 00856 39729 38872 40585 939416 1299 7713 1299 11441 1299
21143 00867 39662 38795 40529 925076 1301 7577 1301 11295 1301
21151 00878 39595 38717 40473 910978 1303 7443 1303 11150 1303
21158 00889 39528 38640 40417 897117 1306 7311 1306 11008 1306
21165 00900 39462 38562 40362 883490 1308 7182 1308 10868 1308
21172 00911 39396 38485 40306 870092 1310 7055 1310 10730 1310
21179 00921 39329 38408 40251 856918 1312 6931 1312 10595 1312
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 3058 -1443 2485 2082 6178 -35867216599 SUMX -9210 -1443 24899 -15993 00719 30570 29851 31288 114017 00 966 00 1345 00
0031 4918 -1506 2692 2269 7246 -40544199354 SUMY 16942 -1506 27191 -15974 00706 30502 29796 31208 112243 00 954 00 1321 00 Regression Statistics
0029 6766 -1531 2830 2345 8011 -433394905 SUMXX 14154 -1531 28099 -15956 00693 30434 29740 31127 110504 00 942 00 1296 00 Multiple R 08824404681
0028 8397 -1552 2924 2409 8550 -45382863655 SUMYY 48049 -1552 28853 -15937 00681 30366 29685 31047 108799 00 930 00 1273 00 R Square 07787011797
0026 9581 -1578 2981 2491 8889 -47059517004 SUMXY -26064 -1578 29812 -15919 00669 30299 29630 30968 107127 00 918 00 1250 00 Adjusted R Square 07510388271
0025 10697 -1599 3029 2558 9176 -48447490003 SAKX 00156065368 -1599 30570 -15900 00657 30232 29575 30889 105489 00 907 00 1227 00 Standard Error 48757093885
SAKY (SAKtotal) 021 0000 -27478 -15882 00645 30165 29520 30811 103882 00 895 00 1205 00 Observations 10
SAPXY -0056644485 0000 -27478 -15864 00634 30099 29465 30733 102306 00 884 00 1184 00
XMEAN -15350567173 0000 -27478 -15845 00623 30033 29410 30655 100760 00 873 00 1163 00 ANOVA
YMEAN 2824 0000 -27478 -15827 00612 29967 29356 30579 99245 00 862 00 1143 00 df SS MS F Significance F
A1 -36295358692 -36295 -02755 0000 -27478 -15809 00601 29902 29301 30502 97758 00 851 00 1123 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 9404E+09 0000 -27478 -15791 00590 29836 29246 30427 96299 00 841 00 1103 00 Residual 8 1901803363282 23772542041
R2 0983 (X=00Y^-004) 0000 -27478 -15773 00580 29771 29191 30352 94868 00 830 00 1084 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 29706 29136 30277 93464 00 820 00 1066 00
F-VALUE 6940 0000 -27478 -15738 00561 29642 29081 30203 92087 00 809 00 1048 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -29766326417 -42824390967 0000 -27478 -15720 00552 29578 29026 30129 90735 00 799 00 1030 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 29514 28971 30057 89409 00 789 00 1013 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 29450 28916 29984 88107 00 779 00 996 00
Xmax 00360517444 -15667 00526 29387 28861 29913 86829 00 769 00 980 00
Variansanalysetabel -15650 00518 29323 28805 29842 85575 00 760 00 964 00
SAK f S2 F -15633 00511 29261 28750 29771 84343 00 750 00 949 00 RESIDUAL OUTPUT
Regress 02055931902 1 0206 23821 -15615 00503 29198 28694 29701 83135 00 740 00 934 00
Residual 0003 4 0001 -15598 00497 29135 28639 29632 81948 00 731 00 919 00 Observation Predicted Y Residuals Standard Residuals
Total 0209 5 -15581 00490 29073 28583 29563 80783 00 722 00 904 00 1 649620085731 04744116959 01032033599
-15564 00484 29011 28527 29496 79639 00 712 00 890 00 2 847353753756 81224337994 17669515023
-15547 00479 28950 28471 29428 78515 00 703 00 877 00 3 723989604863 -37728515527 -08207448511
-15530 00474 28888 28414 29362 77412 00 694 00 863 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -363 -15513 00469 28827 28358 29296 76328 00 685 00 850 00 5 802495136516 -30746271321 -06688533467
-15496 00465 28766 28301 29231 75264 00 676 00 838 00 6 781834750473 -45407034997 -0987783104
-15479 00461 28705 28244 29166 74218 00 667 00 825 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 28645 28187 29102 73191 00 659 00 813 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 28584 28130 29039 72182 00 650 00 801 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 28524 28072 28976 71190 00 642 00 790 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 28464 28014 28915 70216 00 633 00 779 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 28405 27956 28853 69259 00 625 00 768 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 28345 27898 28793 68319 00 616 00 757 00
6 24469 514 -15364 00447 28286 27839 28733 67394 00 608 00 747 00
7 23646 474 -15348 00447 28227 27780 28674 66486 00 600 00 737 00
8 2306 446 -15332 00447 28169 27721 28616 65593 00 592 00 727 00
9 22622 426 -15316 00448 28110 27662 28558 64715 00 584 00 717 00
10 22281 41 -15299 00449 28052 27603 28501 63853 00 576 00 708 00
11 2201 398 -15283 00451 27994 27543 28444 63005 00 568 00 699 00
12 21788 289 -15268 00453 27936 27483 28389 62171 00 560 00 690 00
13 21604 381 -15252 00455 27878 27423 28333 61351 00 552 00 681 00
14 21448 374 -15236 00458 27821 27363 28279 60545 00 545 00 673 00
15 21315 368 -15220 00461 27764 27302 28225 59752 00 537 00 664 00
16 21199 363 -15204 00465 27707 27242 28171 58973 00 530 00 656 00
17 21098 359 -15189 00469 27650 27181 28119 58207 00 523 00 648 00
18 21009 355 -15173 00473 27593 27120 28066 57453 00 515 00 641 00
19 2093 352 -15158 00478 27537 27059 28014 56711 00 508 00 633 00
20 2086 349 -15142 00483 27480 26998 27963 55982 00 501 00 626 00
21 20796 347 -15127 00488 27424 26936 27912 55265 00 494 00 618 00
22 20739 344 -15111 00494 27369 26875 27862 54559 00 487 00 611 00
23 2069 342 -15096 00499 27313 26814 27812 53865 00 480 00 604 00
24 2064 34 -15081 00506 27258 26752 27763 53182 00 473 00 597 00
25 206 339 -15065 00512 27202 26691 27714 52510 00 467 00 591 00
26 2056 337 -15050 00519 27147 26629 27666 51849 00 460 00 584 00
27 2052 335 -15035 00525 27093 26567 27618 51198 00 454 00 578 00
28 2048 334 -15020 00532 27038 26506 27570 50558 00 447 00 572 00
29 2045 333 -15005 00540 26983 26444 27523 49928 00 441 00 565 00
30 2042 332 -14990 00547 26929 26382 27476 49308 00 435 00 559 00
31 2021 323 -14975 00555 26875 26320 27430 48698 00 429 00 553 00
40 2021 323 -14960 00563 26821 26259 27384 48097 00 423 00 547 00
41 2 315 -14946 00571 26767 26197 27338 47506 00 417 00 542 00
60 2 315 -14931 00579 26714 26135 27293 46924 00 411 00 536 00
61 198 307 -14916 00587 26661 26074 27248 46351 00 405 00 531 00
120 198 307 -14902 00595 26607 26012 27203 45787 00 399 00 525 00
121 196 3 -14887 00604 26554 25951 27158 45232 00 394 00 520 00
-14872 00613 26502 25889 27114 44685 00 388 00 515 00
-14858 00621 26449 25828 27070 44147 00 383 00 509 00
-14843 00630 26397 25766 27027 43617 00 377 00 504 00
-14829 00639 26344 25705 26983 43095 00 372 00 499 00
-14815 00648 26292 25644 26940 42580 00 367 00 494 00
-14800 00657 26240 25583 26897 42074 00 362 00 489 00
-14786 00667 26188 25522 26855 41576 00 357 00 485 00
-14772 00676 26137 25461 26813 41084 00 352 00 480 00
-14758 00685 26085 25400 26771 40601 00 347 00 475 00
-14744 00695 26034 25339 26729 40124 00 342 00 471 00
-14729 00704 25983 25279 26687 39655 00 337 00 466 00
-14715 00714 25932 25218 26646 39192 00 333 00 462 00
-14701 00723 25881 25158 26604 38737 00 328 00 458 00
-14688 00733 25831 25098 26564 38288 00 323 00 453 00
-14674 00743 25780 25038 26523 37846 00 319 00 449 00
-14660 00752 25730 24978 26482 37410 00 315 00 445 00
-14646 00762 25680 24918 26442 36981 00 310 00 441 00
-14632 00772 25630 24858 26402 36558 00 306 00 437 00
-14618 00782 25580 24798 26362 36141 00 302 00 433 00
-14605 00792 25530 24739 26322 35730 00 298 00 429 00
-14591 00801 25481 24679 26282 35325 00 294 00 425 00
-14578 00811 25431 24620 26243 34926 00 290 00 421 00
-14564 00821 25382 24561 26204 34533 00 286 00 417 00
-14550 00831 25333 24502 26165 34145 00 282 00 413 00
-14537 00841 25284 24443 26126 33763 00 278 00 410 00
-14524 00851 25236 24384 26087 33386 00 274 00 406 00
-14510 00861 25187 24326 26048 33015 00 271 00 403 00
-14497 00871 25139 24267 26010 32648 00 267 00 399 00
-14484 00881 25090 24209 25972 32287 00 264 00 396 00
-14470 00891 25042 24151 25934 31932 00 260 00 392 00
-14457 00901 24994 24093 25896 31581 00 257 00 389 00
-14444 00911 24946 24035 25858 31235 00 253 00 385 00
-14431 00921 24899 23977 25820 30893 00 250 00 382 00
8482958466798 453198415510438
157762337339841 445011526968153
229919209664129 436988185343382
299317396308158 429124812025937
362939584809143 42141791349927
425182430469998 413864079156283
406459979175265
399202362454331
392088054602438
385113955985505
378277039825948
371574350354031
3650030010096
358560172692686
352243112061582
346049129876992
339975599390947
334019954779185
328179689615728
322452355388469
316835560054579
311326966634576
305924291843988
300625304761508
295427825532595
290329724107552
28532891901306
280423376156244
275611107660335
270890170731068
266258666552894
261714739214239
257256574660917
252882399676985
248590480892212
244379123815443
240246671893146
23619150559242
232212041507809
22830673149124
224474061804437
220712552293262
217020755583252
213397256295896
209840670285
206349643892635
202922853224091
199559003441363
196256828074617
193015088351196
189832572541652
186708095322343
183640497154179
180628643677042
177671425119486
174767755723285
171916573182442
16911683809627
166367533436157
16366766402567
161016256033615
158412356479738
155855032752697
153343372140009
150876481369642
148453486162936
146073530798571
143735777687276
141439406957002
139183616048281
136967619319522
134790647661941
132651948123926
130550783544548
128486432196003
126458187434752
12446535736111
122507264487102
120583245412343
118692650507738
116834843606817
115009201704496
113215114663065
111451984925241
10971922723408
10801626835959
106342546831866
10469751268058
103080627180672
101491362604075
99929201977326
98393638844908
96884177038201
95400330449854
93941622813496
92507587488613
91097767250473
89711714084978
88348988988316
87009161771285
85691810868186
3058254506667 11401660489024
4917921666667 11224254241385
6765733182963 11050353869471
8396677941728 10879875483775
9580641906173 10712737548677
1069682848 10548860806755
1038816820583
10230584828653
10076037825111
9924456346858
9775771484275
9629916205667
9486825298608
934643531335
9208684508213
9073512796881
8940861697535
8810674283738
8682895137025
8557470301108
8434347237659
8313474783592
8194803109801
8078283681286
796386921863
7851513660757
7741172128948
7632800892042
7526357332798
7421799915369
7319088153841
7218182581804
7119044722924
7021637062462
6925923019723
6831866921392
6739433975727
6648590247583
6559302634229
6471538841935
6385267363303
6300457455314
6217079118063
6135103074163
6054500748792
597524425036
5897306351775
5820660472292
5745280659917
5671141574349
559821847045
5526487182213
5455924107218
5386506191562
5318210915236
5251016277946
5184900785361
5119843435765
5055823707109
4992821544449
4930817347748
4869791960047
4809726655972
4750603130585
4692403488555
4635110233648
4578706258517
4523174834784
4468499603418
4414664565374
4361654072513
4309452818768
4258045831573
420741846352
4157556384267
410844557266
4060072309079
4012423168008
3965485010793
3919244978615
3873690485654
3828809212438
3784589099379
3741018340481
3698085377224
3655778892613
3614087805387
3573001264389
3532508643077
34925995342
3453263744596
3414491290147
3376272390858
3338597466066
3301457129784
326484218616
3228743625054
3193152617745
3158060512727
312345883164
3089339265284
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
0036 84830 -1443 3929 2082 15433 -56691834105 SUMX -9210 -1443 39329 -15993 00719 46563 45844 47282 4531984 00 38407 00 53477 00
0031 157762 -1506 4198 2269 17623 -63231238203 SUMY 26153 -1506 42253 -15974 00706 46476 45770 47182 4442233 00 37758 00 52264 00 Regression Statistics
0029 229919 -1531 4362 2345 19023 -66787074357 SUMXX 14154 -1531 43412 -15956 00693 46390 45696 47083 4354634 00 37120 00 51085 00 Multiple R 08824404681
0028 299317 -1552 4476 2409 20036 -69470662987 SUMYY 114332 -1552 44373 -15937 00681 46303 45622 46984 4269127 00 36495 00 49939 00 R Square 07787011797
0026 362940 -1578 4560 2491 20792 -71974236821 SUMXY -40218 -1578 45596 -15919 00669 46218 45549 46886 4185652 00 35882 00 48826 00 Adjusted R Square 07510388271
0025 425182 -1599 4629 2558 21424 -74025743521 SAKX 00156065368 -1599 46563 -15900 00657 46132 45475 46789 4104154 00 35280 00 47743 00 Standard Error 48757093885
SAKY (SAKtotal) 034 0000 -27478 -15882 00645 46047 45402 46692 4024578 00 34690 00 46692 00 Observations 10
SAPXY -00722510218 0000 -27478 -15864 00634 45963 45329 46596 3946870 00 34110 00 45670 00
XMEAN -15350567173 0000 -27478 -15845 00623 45878 45256 46501 3870979 00 33540 00 44676 00 ANOVA
YMEAN 4359 0000 -27478 -15827 00612 45794 45183 46406 3796854 00 32981 00 43710 00 df SS MS F Significance F
A1 -46295358692 -46295 -02160 0000 -27478 -15809 00601 45711 45110 46311 3724449 00 32432 00 42771 00 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 -2748 00 5262E+12 0000 -27478 -15791 00590 45627 45037 46218 3653716 00 31893 00 41858 00 Residual 8 1901803363282 23772542041
R2 0990 (X=00Y^-005) 0000 -27478 -15773 00580 45544 44964 46125 3584610 00 31362 00 40971 00 Total 9 8593825130074
T-VALUE 2776 0000 -27478 -15755 00570 45462 44891 46032 3517086 00 30842 00 40108 00
F-VALUE 6940 0000 -27478 -15738 00561 45380 44819 45941 3451104 00 30330 00 39269 00 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 06529032275 -39766326417 -52824390967 0000 -27478 -15720 00552 45298 44746 45849 3386620 00 29826 00 38453 00 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 -2781 -2715 0000 -27478 -15702 00543 45216 44673 45759 3323595 00 29331 00 37660 00 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 00251582091 0000 -27478 -15685 00534 45135 44601 45669 3261991 00 28844 00 36889 00
Xmax 00360517444 -15667 00526 45054 44528 45580 3201770 00 28366 00 36140 00
Variansanalysetabel -15650 00518 44973 44455 45491 3142896 00 27895 00 35411 00
SAK f S2 F -15633 00511 44893 44382 45404 3085332 00 27431 00 34702 00 RESIDUAL OUTPUT
Regress 03344886971 1 0334 38756 -15615 00503 44813 44310 45316 3029046 00 26975 00 34013 00
Residual 0003 4 0001 -15598 00497 44733 44237 45230 2974003 00 26526 00 33343 00 Observation Predicted Y Residuals Standard Residuals
Total 0338 5 -15581 00490 44654 44164 45144 2920172 00 26084 00 32692 00 1 649620085731 04744116959 01032033599
-15564 00484 44575 44091 45059 2867521 00 25649 00 32058 00 2 847353753756 81224337994 17669515023
-15547 00479 44496 44018 44975 2816020 00 25221 00 31442 00 3 723989604863 -37728515527 -08207448511
-15530 00474 44418 43944 44892 2765640 00 24799 00 30843 00 4 839679896083 35389412933 07698600923
N = 1787E-03 S^ -463 -15513 00469 44340 43871 44809 2716351 00 24383 00 30261 00 5 802495136516 -30746271321 -06688533467
-15496 00465 44262 43797 44727 2668126 00 23974 00 29694 00 6 781834750473 -45407034997 -0987783104
-15479 00461 44185 43724 44645 2620939 00 23571 00 29144 00 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 -15463 00458 44107 43650 44565 2574762 00 23173 00 28608 00 8 761768596485 -16616650429 -03614780516
1 12706 1995 -15446 00455 44030 43576 44485 2529571 00 22782 00 28087 00 9 663783272277 10806764712 02350899941
2 4303 19 -15430 00452 43954 43502 44406 2485341 00 22396 00 27581 00 10 71750027599 -57050796076 -12410810888
3 3182 955 -15413 00450 43878 43427 44328 2442047 00 22016 00 27088 00 11 18219740758 -00235723844 -21105589334
4 27764 694 -15397 00449 43802 43353 44250 2399668 00 21641 00 26608 00 12 17418458668 00051980261 0465406478
5 25706 579 -15380 00448 43726 43278 44173 2358179 00 21272 00 26142 00
6 24469 514 -15364 00447 43650 43203 44097 2317559 00 20909 00 25688 00
7 23646 474 -15348 00447 43575 43128 44022 2277787 00 20551 00 25246 00
8 2306 446 -15332 00447 43500 43053 43947 2238842 00 20198 00 24816 00
9 22622 426 -15316 00448 43426 42978 43873 2200703 00 19851 00 24398 00
10 22281 41 -15299 00449 43351 42902 43800 2163352 00 19508 00 23990 00
11 2201 398 -15283 00451 43277 42827 43728 2126768 00 19171 00 23593 00
12 21788 289 -15268 00453 43203 42751 43656 2090935 00 18840 00 23207 00
13 21604 381 -15252 00455 43130 42675 43585 2055832 00 18513 00 22830 00
14 21448 374 -15236 00458 43057 42599 43515 2021444 00 18191 00 22463 00
15 21315 368 -15220 00461 42984 42522 43445 1987753 00 17875 00 22105 00
16 21199 363 -15204 00465 42911 42446 43376 1954742 00 17563 00 21756 00
17 21098 359 -15189 00469 42838 42370 43307 1922395 00 17257 00 21415 00
18 21009 355 -15173 00473 42766 42293 43239 1890697 00 16956 00 21083 00
19 2093 352 -15158 00478 42694 42217 43172 1859632 00 16659 00 20759 00
20 2086 349 -15142 00483 42623 42140 43105 1829186 00 16368 00 20442 00
21 20796 347 -15127 00488 42551 42063 43039 1799343 00 16081 00 20133 00
22 20739 344 -15111 00494 42480 41986 42974 1770091 00 15799 00 19831 00
23 2069 342 -15096 00499 42409 41910 42908 1741415 00 15522 00 19536 00
24 2064 34 -15081 00506 42338 41833 42844 1713302 00 15250 00 19248 00
25 206 339 -15065 00512 42268 41756 42780 1685738 00 14983 00 18966 00
26 2056 337 -15050 00519 42198 41679 42716 1658712 00 14720 00 18691 00
27 2052 335 -15035 00525 42128 41602 42653 1632212 00 14462 00 18421 00
28 2048 334 -15020 00532 42058 41526 42590 1606224 00 14209 00 18157 00
29 2045 333 -15005 00540 41989 41449 42528 1580737 00 13960 00 17899 00
30 2042 332 -14990 00547 41919 41372 42466 1555741 00 13716 00 17646 00
31 2021 323 -14975 00555 41850 41296 42405 1531224 00 13476 00 17399 00
40 2021 323 -14960 00563 41782 41219 42344 1507175 00 13241 00 17156 00
41 2 315 -14946 00571 41713 41143 42284 1483584 00 13009 00 16919 00
60 2 315 -14931 00579 41645 41066 42224 1460440 00 12783 00 16686 00
61 198 307 -14916 00587 41577 40990 42164 1437734 00 12560 00 16458 00
120 198 307 -14902 00595 41509 40914 42104 1415455 00 12341 00 16234 00
121 196 3 -14887 00604 41441 40838 42045 1393595 00 12127 00 16015 00
-14872 00613 41374 40761 41987 1372144 00 11916 00 15800 00
-14858 00621 41307 40686 41928 1351094 00 11710 00 15589 00
-14843 00630 41240 40610 41870 1330434 00 11507 00 15382 00
-14829 00639 41173 40534 41812 1310158 00 11309 00 15179 00
-14815 00648 41107 40459 41755 1290256 00 11114 00 14979 00
-14800 00657 41041 40383 41698 1270721 00 10922 00 14784 00
-14786 00667 40974 40308 41641 1251544 00 10735 00 14591 00
-14772 00676 40909 40233 41584 1232718 00 10551 00 14403 00
-14758 00685 40843 40158 41528 1214235 00 10370 00 14217 00
-14744 00695 40778 40083 41472 1196088 00 10193 00 14035 00
-14729 00704 40712 40008 41417 1178269 00 10019 00 13857 00
-14715 00714 40647 39934 41361 1160773 00 9849 00 13681 00
-14701 00723 40583 39859 41306 1143591 00 9682 00 13508 00
-14688 00733 40518 39785 41251 1126718 00 9518 00 13338 00
-14674 00743 40454 39711 41196 1110146 00 9357 00 13172 00
-14660 00752 40390 39637 41142 1093870 00 9199 00 13008 00
-14646 00762 40326 39564 41088 1077883 00 9044 00 12846 00
-14632 00772 40262 39490 41034 1062179 00 8892 00 12688 00
-14618 00782 40198 39417 40980 1046753 00 8743 00 12532 00
-14605 00792 40135 39344 40927 1031598 00 8597 00 12378 00
-14591 00801 40072 39271 40873 1016710 00 8454 00 12228 00
-14578 00811 40009 39198 40820 1002081 00 8313 00 12079 00
-14564 00821 39946 39125 40768 987708 00 8175 00 11933 00
-14550 00831 39884 39052 40715 973585 00 8040 00 11790 00
-14537 00841 39821 38980 40663 959706 00 7907 00 11648 00
-14524 00851 39759 38908 40610 946068 00 7777 00 11509 00
-14510 00861 39697 38836 40558 932664 00 7649 00 11372 00
-14497 00871 39635 38764 40507 919491 00 7524 00 11238 00
-14484 00881 39574 38693 40455 906543 00 7400 00 11105 00
-14470 00891 39512 38621 40404 893816 00 7280 00 10974 00
-14457 00901 39451 38550 40353 881306 00 7161 00 10846 00
-14444 00911 39390 38479 40302 869008 00 7045 00 10719 00
-14431 00921 39329 38408 40251 856918 00 6931 00 10595 00
SN Points X Y X^2 Y^2 XY N 6 X YHAT X Xconfi Yavg Y1 Y2 SN-line Lower conf Upper Conf SUMMARY OUTPUT
131200 05 2118 -0301 4486 0091 -06375616132 SUMX 12432 2118 -02966 20398 00719 05048 04330 05767 320 1096 3 1096 4 1096
122000 10 2086 0000 4353 0000 0 SUMY 1051 2086 00273 20407 00707 04961 04254 05668 313 1098 3 1098 4 1098 Regression Statistics
118533 15 2074 0176 4301 0031 03651851843 SUMXX 25762 2074 01557 20415 00696 04873 04177 05569 307 1100 3 1100 4 1100 Multiple R 08824404681
115733 20 2063 0301 4258 0091 06211628918 SUMYY 0598 2063 02622 20424 00684 04786 04101 05470 301 1102 3 1102 4 1102 R Square 07787011797
112267 25 2050 0398 4204 0158 08158768323 SUMXY 2138 2050 03977 20432 00673 04698 04025 05371 295 1105 3 1105 3 1105 Adjusted R Square 07510388271
109600 30 2040 0477 4161 0228 0973236971 SAKX 00039016342 2040 05048 20441 00662 04611 03949 05273 289 1107 2 1107 3 1107 Standard Error 48757093885
SAKY (SAKtotal) 041 0000 214314 20449 00651 04525 03873 05176 283 1109 2 1109 3 1109 Observations 10
SAPXY -00400271451 0000 214314 20458 00640 04438 03797 05078 278 1111 2 1111 3 1111
XMEAN 20719423346 0000 214314 20466 00630 04351 03721 04981 272 1113 2 1113 3 1113 ANOVA
YMEAN 0175 0000 214314 20474 00620 04265 03645 04885 267 1115 2 1115 3 1115 df SS MS F Significance F
A1 -102590717384 -102591 -00975 0000 214314 20483 00609 04179 03569 04788 262 1118 2 1118 3 1118 Regression 1 6692021766792 6692021766792 281502152998 00007234162
A0 21431 27002074746314896000000 1361E-220 0000 214314 20491 00600 04093 03493 04692 257 1120 2 1120 3 1120 Residual 8 1901803363282 23772542041
R2 0992 (X=2700207474631490000000Y^-010) 0000 214314 20500 00590 04007 03417 04597 252 1122 2 1122 3 1122 Total 9 8593825130074
T-VALUE 2776 0000 214314 20508 00580 03921 03341 04502 247 1124 2 1124 3 1124
F-VALUE 6940 0000 214314 20516 00571 03836 03264 04407 242 1126 2 1126 3 1126 Coefficients Standard Error t Stat P-value Lower 95 Upper 95 Lower 950 Upper 950
CONFIA1 13058064549 -89532652835 -115648781933 0000 214314 20525 00562 03750 03188 04313 237 1128 2 1128 3 1128 Intercept 86958826445 29348406974 296298284683 00000000018 801910672841 937265856059 801910672841 937265856059
CONFIA0 00332986373 21398 21465 0000 214314 20533 00554 03665 03112 04219 233 1131 2 1131 3 1131 X Variable 1 -00003935312 00000741717 -53056776476 00007234162 -00005645715 -00002224908 -00005645715 -00002224908
Xmin 1096 0000 214314 20541 00545 03580 03035 04125 228 1133 2 1133 3 1133
Xmax 1312 20549 00537 03495 02958 04032 224 1135 2 1135 3 1135
Variansanalysetabel 20558 00529 03410 02881 03940 219 1137 2 1137 2 1137
SAK f S2 F 20566 00521 03326 02804 03847 215 1139 2 1139 2 1139 RESIDUAL OUTPUT
Regress 04106413531 1 0411 47580 20574 00514 03242 02727 03756 211 1141 2 1141 2 1141
Residual 0003 4 0001 20582 00507 03157 02650 03664 207 1144 2 1144 2 1144 Observation Predicted Y Residuals Standard Residuals
Total 0414 5 20591 00501 03073 02573 03574 203 1146 2 1146 2 1146 1 649620085731 04744116959 01032033599
20599 00494 02989 02495 03484 199 1148 2 1148 2 1148 2 847353753756 81224337994 17669515023
20607 00488 02906 02417 03394 195 1150 2 1150 2 1150 3 723989604863 -37728515527 -08207448511
20615 00483 02822 02339 03305 192 1152 2 1152 2 1152 4 839679896083 35389412933 07698600923
N = 2700E+21 S^ -1026 20623 00478 02738 02261 03216 188 1154 2 1154 2 1154 5 802495136516 -30746271321 -06688533467
20631 00473 02655 02182 03128 184 1156 2 1156 2 1156 6 781834750473 -45407034997 -0987783104
20639 00468 02572 02104 03040 181 1159 2 1159 2 1159 7 58292048896 55384635753 12048354935
N TVALUE FVALUE 95 20648 00464 02489 02025 02953 177 1161 2 1161 2 1161 8 761768596485 -16616650429 -03614780516
1 12706 1995 20656 00461 02406 01946 02867 174 1163 2 1163 2 1163 9 663783272277 10806764712 02350899941
2 4303 19 20664 00457 02324 01866 02781 171 1165 2 1165 2 1165 10 71750027599 -57050796076 -12410810888
3 3182 955 20672 00455 02241 01786 02696 168 1167 2 1167 2 1167 11 18219740758 -00235723844 -21105589334
4 27764 694 20680 00452 02159 01706 02611 164 1169 1 1169 2 1169 12 17418458668 00051980261 0465406478
5 25706 579 20688 00450 02076 01626 02527 161 1172 1 1172 2 1172
6 24469 514 20696 00449 01994 01546 02443 158 1174 1 1174 2 1174
7 23646 474 20704 00448 01912 01465 02360 155 1176 1 1176 2 1176
8 2306 446 20712 00447 01831 01384 02278 152 1178 1 1178 2 1178
9 22622 426 20720 00447 01749 01302 02196 150 1180 1 1180 2 1180
10 22281 41 20728 00447 01668 01221 02115 147 1182 1 1182 2 1182
11 2201 398 20736 00448 01586 01139 02034 144 1185 1 1185 2 1185
12 21788 289 20743 00449 01505 01056 01954 141 1187 1 1187 2 1187
13 21604 381 20751 00450 01424 00974 01874 139 1189 1 1189 2 1189
14 21448 374 20759 00452 01343 00891 01795 136 1191 1 1191 2 1191
15 21315 368 20767 00455 01262 00808 01717 134 1193 1 1193 1 1193
16 21199 363 20775 00457 01182 00725 01639 131 1195 1 1195 1 1195
17 21098 359 20783 00460 01101 00641 01562 129 1198 1 1198 1 1198
18 21009 355 20791 00464 01021 00557 01485 127 1200 1 1200 1 1200
19 2093 352 20798 00468 00941 00473 01409 124 1202 1 1202 1 1202
20 2086 349 20806 00472 00861 00389 01333 122 1204 1 1204 1 1204
21 20796 347 20814 00477 00781 00305 01258 120 1206 1 1206 1 1206
22 20739 344 20822 00482 00701 00220 01183 118 1208 1 1208 1 1208
23 2069 342 20830 00487 00622 00135 01109 115 1210 1 1210 1 1210
24 2064 34 20837 00492 00542 00050 01035 113 1213 1 1213 1 1213
25 206 339 20845 00498 00463 -00035 00961 111 1215 1 1215 1 1215
26 2056 337 20853 00504 00384 -00120 00888 109 1217 1 1217 1 1217
27 2052 335 20860 00511 00305 -00206 00816 107 1219 1 1219 1 1219
28 2048 334 20868 00517 00226 -00291 00743 105 1221 1 1221 1 1221
29 2045 333 20876 00524 00147 -00377 00672 103 1223 1 1223 1 1223
30 2042 332 20883 00531 00069 -00463 00600 102 1226 1 1226 1 1226
31 2021 323 20891 00539 -00010 -00548 00529 100 1228 1 1228 1 1228
40 2021 323 20899 00546 -00088 -00634 00458 098 1230 1 1230 1 1230
41 2 315 20906 00554 -00166 -00720 00388 096 1232 1 1232 1 1232
60 2 315 20914 00562 -00244 -00806 00318 095 1234 1 1234 1 1234
61 198 307 20922 00570 -00322 -00892 00248 093 1236 1 1236 1 1236
120 198 307 20929 00579 -00400 -00978 00179 091 1239 1 1239 1 1239
121 196 3 20937 00587 -00478 -01065 00110 090 1241 1 1241 1 1241
20944 00596 -00555 -01151 00041 088 1243 1 1243 1 1243
20952 00605 -00632 -01237 -00028 086 1245 1 1245 1 1245
20959 00614 -00710 -01323 -00096 085 1247 1 1247 1 1247
20967 00623 -00787 -01409 -00164 083 1249 1 1249 1 1249
20974 00632 -00864 -01496 -00232 082 1252 1 1252 1 1252
20982 00641 -00941 -01582 -00299 081 1254 1 1254 1 1254
20989 00651 -01017 -01668 -00367 079 1256 1 1256 1 1256
20997 00660 -01094 -01754 -00434 078 1258 1 1258 1 1258
21004 00670 -01170 -01840 -00500 076 1260 1 1260 1 1260
21012 00680 -01247 -01926 -00567 075 1262 1 1262 1 1262
21019 00690 -01323 -02012 -00633 074 1264 1 1264 1 1264
21027 00699 -01399 -02098 -00699 072 1267 1 1267 1 1267
21034 00709 -01475 -02184 -00765 071 1269 1 1269 1 1269
21041 00720 -01550 -02270 -00831 070 1271 1 1271 1 1271
21049 00730 -01626 -02356 -00896 069 1273 1 1273 1 1273
21056 00740 -01702 -02442 -00962 068 1275 1 1275 1 1275
21063 00750 -01777 -02527 -01027 066 1277 1 1277 1 1277
21071 00761 -01852 -02613 -01092 065 1280 1 1280 1 1280
21078 00771 -01927 -02699 -01156 064 1282 1 1282 1 1282
21085 00782 -02002 -02784 -01221 063 1284 1 1284 1 1284
21093 00792 -02077 -02869 -01285 062 1286 1 1286 1 1286
21100 00803 -02152 -02955 -01349 061 1288 1 1288 1 1288
21107 00813 -02227 -03040 -01413 060 1290 0 1290 1 1290
21115 00824 -02301 -03125 -01477 059 1293 0 1293 1 1293
21122 00835 -02376 -03210 -01541 058 1295 0 1295 1 1295
21129 00845 -02450 -03295 -01605 057 1297 0 1297 1 1297
21136 00856 -02524 -03380 -01668 056 1299 0 1299 1 1299
21143 00867 -02598 -03465 -01731 055 1301 0 1301 1 1301
21151 00878 -02672 -03550 -01794 054 1303 0 1303 1 1303
21158 00889 -02746 -03634 -01857 053 1306 0 1306 1 1306
21165 00900 -02819 -03719 -01920 052 1308 0 1308 1 1308
21172 00911 -02893 -03803 -01982 051 1310 0 1310 1 1310
21179 00921 -02966 -03888 -02045 051 1312 0 1312 1 1312
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
8482958466798 453198415509923
157762337339841 444223298518267
229919209664129 435463395651789
299317396308158 426912655401948
362939584809143 418565221258607
425182430469998 410415424632938
402457778065734
394686968708487
387097852065186
379685445983355
372444924883448
365371614216194
35846098513798
351708649394869
345110354406237
338661978539499
332359526567722
326199125302371
320177019393754
314289567292081
308533237362397
302904604146922
297400344768675
292017235470486
286752148283813
281602047821987
276563988192795
271635110025519
266812637607734
262093876127455
257476209016332
252957095389845
248534067580594
244204728760957
239966750651574
235817871312228
23175589301187
227778680174694
223884157399223
220070307547618
216335169902413
212676838388095
209093459855011
205583232423197
202144403883818
198775270156044
195474173797216
192239502564294
189069688024643
185963204214298
182918566341916
179934329536705
177009087638707
174141472029822
171330150504106
168573826175856
165871236424115
16322115187225
160622375401323
158073741196027
155574113821997
15312238733337
150717484409499
148358355519769
146043978115519
143773355848089
141545517812079
139359517812904
137214433657812
135109366469516
133043440021664
131015800095362
129025613856046
127072069249961
125154374419592
12327175713739
121423464257146
119608761182432
117826931351499
116077275738105
114359112367685
112671775848397
111014616916491
109387001995557
107788312769166
106217945766462
104675311960271
103159836377317
101670957720132
10020812800029
98770812182574
97358487839736
9597064481748
94606784909365
93266421541272
91949079465149
90654294461729
89381613051922
88130592216609
86900799124579
85691810868326
05 31976750428
1 31337340646
15 30711935499
2 30100201659
25 29501814358
3 28916457161
28343821727
27783607596
27235521965
26699279482
26174602045
25661218598
25158864946
24667283564
24186223417
23715439788
23254694103
22803753765
22362392
21930387691
21507525235
21093594389
20688390133
20291712524
19903366566
19523162079
19150913566
18786440095
18429565175
18080116642
1773792654
17402831016
1707467021
1675328815
16438532653
16130255221
15828310953
15532558443
15242859697
14959080039
14681088029
14408755377
14141956865
13880570262
13624476257
13373558376
13127702911
12886798854
12650737823
12419413998
12192724054
11970567102
11752844621
11539460405
11330320499
11125333147
10924408733
1072745973
10534400646
10345147975
10159620146
09977737475
0979942212
09624598031
09453190911
09285128169
0912033888
08958753741
08800305035
0864492659
0849255374
08343123292
08196573485
0805284396
07911875721
07773611107
07637993755
07504968573
07374481705
07246480503
071209135
06997730378
06876881942
06758320095
06641997808
06527869097
06415888997
06306013539
06198199726
06092405508
05988589762
0588671227
05786733694
05688615561
05592320238
05497810915
05405051585
05314007022
05224642769
05136925114
05050821079
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
d[mm] c m rho [kgm3] d[mm] c m rho [kgm3] d[mm] c m rho [kgm3]
00015 179E+01 -463 1000 0002 179E+01 -463 1000 00025 179E+01 -463 1000
15 mm 20 mm 25 mm
v N v N v N
m-2 cm-2 m-2 cm-2 m-2 cm-2
60 654E+12 653717705298291 60 120E+11 120224006281089 60 542E+09 541889973478598
65 312E+12 311525171373614 65 573E+10 572920143609224 65 258E+09 258234350217781
70 157E+12 156842218105481 70 288E+10 288445603688359 70 130E+09 13001212101288
75 828E+11 827948887843341 75 152E+10 152266538730321 75 686E+08 686316428695075
80 455E+11 455467660824866 80 838E+09 837642096458985 80 378E+08 377553425040132
85 260E+11 25980743423959 85 478E+09 477807015975523 85 215E+08 215363669223848
90 153E+11 153033034049858 90 281E+09 281440204199905 90 127E+08 126854552187458
95 928E+10 927577576060499 95 171E+09 170589065320803 95 769E+07 76890220964936
100 577E+10 576860531957721 100 106E+09 10608934660222 100 478E+07 47818031518786
105 367E+10 36716216050534 105 675E+08 675241094634737 105 304E+07 30435383928878
110 239E+10 23865721127016 110 439E+08 438910034625401 110 198E+07 19783149337626
115 158E+10 15812801690149 115 291E+08 290810292318859 115 131E+07 13107796559659
120 107E+10 106623390314656 120 196E+08 196089092325427 120 884E+06 88383939553
125 731E+09 730607465583603 125 134E+08 134364658964307 125 606E+06 6056266442527
130 508E+09 508107240648354 130 934E+07 93445056782271 130 421E+06 4211882543912
135 358E+09 358244993530028 135 659E+07 65884169884416 135 297E+06 2969620808331
140 256E+09 25581453436765 140 470E+07 47046374814916 140 212E+06 2120538117912
145 185E+09 184843049763137 145 340E+07 33994141195241 145 153E+06 1532230112815
150 135E+09 135041037918384 150 248E+07 24835145903684 150 112E+06 1119403434587
155 997E+08 996779966958546 155 183E+07 1833159482101 155 826E+05 826266545148
160 743E+08 74288191649442 160 137E+07 13662203038233 160 616E+05 615801375371
165 559E+08 558688205054588 165 103E+07 10274730778938 165 463E+05 463116623836
170 424E+08 423754003342113 170 779E+06 7793180993345 170 351E+05 351264840728
175 324E+08 323995139656211 175 596E+06 5958534301484 175 269E+05 268571152674
180 250E+08 249601636735365 180 459E+06 4590377237672 180 207E+05 20690371886
POLYTEC results
vo [ms] 140 Regn intensitet 325 mmh droplet volume 00000000042
vi [ms] 110 droplet speed 6 ms droplet size 2 mm 2
r0-ri [m] 0225 mass 00000041888 kg 00000031416
omega [rads] 133 1000 2
rpm 1273 Tid Regnmaeligngde slid [mm] hastighed cinetic energy Hitsm2s failure at failure at power function failure failure at acc impact energy 3
rotor diam 21 [hrs] [min] [sec] [J] hitsm2 hitscm2 hitsm2 hits2 mm circle [Jcm2]
05 300 18000 163 66 131 00360517444 47128 85E+07 85E+03 858E+07 27E+02 31E+02
10 600 36000 325 135 122 00311729767 43823 16E+08 16E+04 168259557551256 50E+02 49E+02
15 900 54000 488 161 119 00294265677 42578 23E+08 23E+04 219739821326208 72E+02 68E+02
20 1200 72000 650 182 116 00280527562 41572 30E+08 30E+04 27418672140055 94E+02 84E+02
25 1500 90000 813 208 112 00263973463 40327 36E+08 36E+04 363370031336381 11E+03 96E+02
30 1800 108000 975 228 110 00251582091 39369 43E+08 43E+04 453968838852237 13E+03 11E+03
c= 17872
325 100 10 m= 463
percent of time hours pr year rain intensity rain rate fall speed droplet size droplet size rain relative volume 1 droplet volume dropletsm3 density mass blade tip speed cinetic energy hitsm2s hitsm2hr hitscm2s hitscm2hr power function impacts to failure hours to failure mm to failure fraction of life spent pr year fraction of life spent pr year reduced production
[hrsyear] [mmhr] ms ms [mm] m [-] [m3] [kgm3] kg [ms] [m-2hr-1] [cm-2s-1] [cm-2hr-1] [m-2] [hrs] []
002 1752 20 00000055556 6 25 00025 00000009259 00000000082 113 1000 00000081812 700 00200440156 7922 285E+07 07922379389 2852 130E+09 456E+01 912 0038 384 00000888889
01 876 10 00000027778 6 2 0002 0000000463 00000000042 111 1000 00000041888 800 00134041287 8842 318E+07 08841941283 3183 838E+09 263E+02 2632 0033 333 00001111111
1 876 5 00000013889 6 15 00015 00000002315 00000000018 131 1000 00000017671 900 00071569408 11789 424E+07 11789255044 4244 153E+11 361E+03 18029 0024 243 0
3 2628 2 00000005556 6 1 0001 00000000926 00000000005 177 1000 00000005236 900 0002120575 15915 573E+07 15915494309 5730 427E+13 746E+05 1491421 0000 004 0
5 438 1 00000002778 6 05 00005 00000000463 00000000001 707 1000 00000000654 900 00002650719 63662 229E+08 63661977237 22918 649E+17 283E+09 2830197826 0000 000 0
2 0002 1000 800 00134041287 sum fraction 0096 9637
rpm ms D rotor lifetime years 10377 10377
SWP 23-106 16 904778684234 108
6 339292006588 108
8482958466798 653717705298291 120224006281089 541889973478598
157762337339841 311525171373614 572920143609224 258234350217781
229919209664129 156842218105481 288445603688359 13001212101288
299317396308158 827948887843341 152266538730321 686316428695075
362939584809143 455467660824866 837642096458985 377553425040132
425182430469998 25980743423959 477807015975523 215363669223848
153033034049858 281440204199905 126854552187458
927577576060499 170589065320803 76890220964936
576860531957721 10608934660222 47818031518786
36716216050534 675241094634737 30435383928878
23865721127016 438910034625401 19783149337626
15812801690149 290810292318859 13107796559659
106623390314656 196089092325427 88383939553
730607465583603 134364658964307 6056266442527
508107240648354 93445056782271 4211882543912
358244993530028 65884169884416 2969620808331
25581453436765 47046374814916 2120538117912
184843049763137 33994141195241 1532230112815
135041037918384 24835145903684 1119403434587
996779966958546 1833159482101 826266545148
74288191649442 13662203038233 615801375371
558688205054588 10274730778938 463116623836
423754003342113 7793180993345 351264840728
323995139656211 5958534301484 268571152674
249601636735365 4590377237672 20690371886
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