H.S.H.S.

1

Comparison of the worldwide weighted WLTP database and EU regional database with WLTC

rev3 and further modifications performed by JARI, JRC and HS

Heinz Steven

22.11.2011

WLTP

H.S.H.S.Assessment criteria

2

• The assessment is based on comparisons between the databases and the cycles per vehicle speed class.

• The comparison includes the following parameter: Average values of a_pos, v*a_pos, RPA Distributions of v, Distributions of a and v*a for positive accelerations, Sum of least squares, Estimates for hot CO2 emissions.

H.S.H.S.Average values

3

• Figure 1 shows a comparison of average a_pos values.• Figure 2 shows a comparison of average v*a_pos values.• Figure 3 shows a comparison of RPA values.• WLTC rev2 means the cycle version tested within validation

step 1.• WLTC rev3 111108 means the cycle version as presented by

Japan during the DHC web conference at 07.11.2011.• WLTC v3 HS_JP_HS4 means the result of several iterative

modification steps performed by JARI, JRC and HS.

H.S.H.S.

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0 10 20 30 40 50 60 70 80 90 100

aver

age

posi

tive

acce

lera

tion

in m

/s²

vehicle speed in km/h

a_pos_ave, WWW

a_pos_ave, EU

a_pos_ave, WLTC rev2

a_pos_ave, WLTC cand pos acc only 27102011

a_pos_ave, WLTC rev3 111108

a_pos_ave, WLTC v3 HS_JP_HS

Comparison of aver. a_pos values

4Figure 1

H.S.H.S.

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0 10 20 30 40 50 60 70 80 90 100

aver

age

v*a_

pos i

n m

²/s³

average speed in km/h

v*a_pos_ave, WWW database

v*a_pos_ave, EU database

v*a_pos_ave, WLTC rev2 cycle

v*a_pos_ave, WLTC cand pos acc only 27102011 cycle

v*a_pos_ave, WLTC rev3 111108

v*a_pos_ave, WLTC v3 HS_JP_HS

Comparison of aver. v*a_pos values

5Figure 2

H.S.H.S.Comparison of RPA values

6Figure 16

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0 10 20 30 40 50 60 70 80 90 100

RPA

in k

Ws/

(kg*

km)

average speed in km/h

RPA, WWW database

RPA, EU database

RPA, WLTC rev2 cycle

RPA, WLTC cand pos acc only 27102011 cycle

RPA, WLTC rev3 111108

RPA, WLTC v3 HS_JP_HS

H.S.H.S.Vehicle speed distributions

7

• Figures 4 to 7 show comparisons of the vehicle speed distributions between databases and cycles for the 4 speed classes.

• Figures 8 to 11 show corresponding comparisons of the positive acceleration distributions.

• Figures 12 to 15 show corresponding comparisons of the positive v*a distributions.

H.S.H.S.

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0 10 20 30 40 50 60 70

cum

freq

uenc

y

v in km/h

low, EU database

low, WWW database

low, WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Vehicle speed distributions, low

8Figure 4

H.S.H.S.

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cum

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uenc

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v in km/h

medium, EU database

medium, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Vehicle speed distributions, medium

9Figure 5

H.S.H.S.

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0 20 40 60 80 100 120

cum

freq

uenc

y

v in km/h

high, EU database

high, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Vehicle speed distributions, high

10Figure 6

H.S.H.S.

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0 20 40 60 80 100 120 140 160

cum

freq

uenc

y

v in km/h

extra high, EU database

extra high, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Vehicle speed distributions, extra high

11Figure 7

H.S.H.S.

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100%

0 0.5 1 1.5 2

cum

freq

uenc

y

a in m/s²

low, EU database

low, WWW database

low, WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Acceleration distributions, low

12Figure 5

H.S.H.S.

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0 0.5 1 1.5 2

cum

freq

uenc

y

a in m/s²

medium, EU database

medium, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Acceleration distributions, medium

13Figure 6

H.S.H.S.

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0 0.5 1 1.5 2

cum

freq

uenc

y

a in m/s²

high, EU database

high, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Acceleration distributions, high

14Figure 7

H.S.H.S.

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100%

0 0.5 1 1.5 2

cum

freq

uenc

y

a in m/s²

extra high, EU database

extra high, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

Acceleration distributions, extra high

15Figure 8

H.S.H.S.

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0 5 10 15 20

cum

freq

uenc

y

v*a_pos in m²/s³

low, EU database

low, WWW database

low, WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

v*a_pos distributions, low

16Figure 10

H.S.H.S.

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cum

freq

uenc

y

v*a_pos in m²/s³

medium, EU database

medium, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

v*a_pos distributions, medium

17Figure 11

H.S.H.S.

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0 5 10 15 20 25

cum

freq

uenc

y

v*a_pos in m²/s³

high, EU database

high, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

v*a_pos distributions, high

18Figure 12

H.S.H.S.

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0 5 10 15 20 25

cum

freq

uenc

y

v*a_pos in m²/s³

extra high, EU database

extra high, WWW database

WLTC rev2

WLTC cand pos acc only, 27102011

WLTC v3 111108

WLTC v3 HS_JP_HS4

v*a_pos distributions, extra high

19Figure 13

H.S.H.S.Comparison of estimates for hot CO2 emissions

20

• Estimates of the hot CO2 emissions for the databases as well as for the cycles are shown in table 1.

H.S.H.S.Comparison of CO2 emissions

21

region / cycle

speed partv_ave wo stops in

km/hp_stop

v_ave with stops in

km/h

e_CO2 wo stops in

g/km

e_CO2 total in g/km

contribution of stops in

g/km

contri-bution of stops in %

Comparison to WWW database

Comparison to EU

databaselow 25.7 24.5% 19.4 159.6 179.4 19.8 11.0%

medium 44.2 12.2% 38.8 133.9 138.8 4.9 3.6%high 62.7 6.0% 59.0 128.4 130.0 1.6 1.2%

extra high 91.6 2.0% 89.8 143.0 143.4 0.3 0.2%total 53.6 12.8% 46.7 138.8 143.1 4.3 3.0%low 25.1 19.0% 20.3 161.3 176.0 14.7 8.3%

medium 43.7 8.6% 39.9 131.8 135.2 3.4 2.5%high 58.6 4.3% 56.1 125.6 126.8 1.2 0.9%

extra high 91.4 1.4% 90.1 145.5 145.7 0.2 0.2%total 55.2 9.3% 50.1 140.5 142.8 2.3 2.0%low 24.8 25.3% 18.2 152.8 175.7 22.9 13.1% -2.1% -0.2%

medium 47.1 11.1% 41.6 122.7 127.0 4.3 3.4% -8.5% -6.0%high 59.6 6.6% 55.5 125.7 127.6 1.9 1.5% -1.8% 0.6%

extra high 87.9 2.2% 86.0 146.4 146.8 0.4 0.3% 2.4% 0.7%total 52.6 13.6% 45.4 135.6 140.3 4.7 3.3% -1.9% -1.7%low 26.5 25.3% 19.5 150.4 171.7 21.4 12.5% -4.3% -2.4%

medium 46.3 11.1% 41.1 127.8 132.0 4.2 3.2% -4.9% -2.4%high 59.9 6.6% 55.8 125.1 127.0 1.9 1.5% -2.3% 0.1%

extra high 87.3 2.2% 85.4 144.2 144.6 0.4 0.3% 0.9% -0.8%total 52.8 13.5% 45.7 135.6 140.2 4.6 3.3% -2.0% -1.8%low 25.1 25.3% 18.7 157.6 179.8 22.3 12.4% 0.2% 2.2%

medium 44.3 11.1% 39.4 130.7 136.0 4.4 3.3% -2.0% 0.6%high 59.8 6.6% 55.8 125.1 127.0 1.9 1.5% -2.3% 0.1%

extra high 90.6 2.2% 88.7 147.6 147.9 0.4 0.3% 3.2% 1.5%total 25.7 13.5% 45.6 138.6 143.3 4.7 3.2% 0.1% 0.4%

WLTC rev3 HS_JP_HS4

WWW database

EU regional database

WLTC rev2 cycle

WLTC rev3 111108 Ta

ble

1

H.S.H.S.Comparison of Sums of least squares between database and cycle

22

• The sum of least squared differences between database and cycle distributions are shown in table 2.

• All means negative and positive values, pos means positive values only.

• Stop phases are disregarded in any case.

H.S.H.S.Comparison of least squares

23

Table 2

range IDcycle cycle part ssd_v*a ssd_a ssdp_v ssd_allall 43 WLTC rev2 low 0.00288 0.00295 0.00338 0.00921all 53 WLTC v3 111108 low 0.00796 0.00369 0.00975 0.02140all 63 WLTC v3 HS_JP_HS4 low 0.00985 0.00463 0.01512 0.02960

pos 43 WLTC rev2 low 0.02449 0.00810 0.00338 0.03597pos 53 WLTC v3 111108 low 0.01908 0.00957 0.00975 0.03841pos 63 WLTC v3 HS_JP_HS4 low 0.01809 0.00990 0.01512 0.04311all 43 WLTC rev2 medium 0.00516 0.00402 0.00553 0.01471all 53 WLTC v3 111108 medium 0.00380 0.00313 0.00399 0.01091all 63 WLTC v3 HS_JP_HS4 medium 0.00411 0.00358 0.00515 0.01283

pos 43 WLTC rev2 medium 0.00883 0.00789 0.00553 0.02225pos 53 WLTC v3 111108 medium 0.00961 0.00645 0.00399 0.02004pos 63 WLTC v3 HS_JP_HS4 medium 0.00924 0.00706 0.00515 0.02144all 43 WLTC rev2 high 0.00834 0.00948 0.02020 0.03803all 53 WLTC v3 111108 high 0.00847 0.00954 0.02038 0.03839all 63 WLTC v3 HS_JP_HS4 high 0.00847 0.00954 0.02038 0.03839

pos 43 WLTC rev2 high 0.01545 0.01497 0.02020 0.05062pos 53 WLTC v3 111108 high 0.01498 0.01508 0.02038 0.05044pos 63 WLTC v3 HS_JP_HS4 high 0.01498 0.01508 0.02038 0.05044all 43 WLTC rev2 extra high 0.01542 0.01854 0.07676 0.11072all 53 WLTC v3 111108 extra high 0.01511 0.01791 0.06986 0.10289all 63 WLTC v3 HS_JP_HS4 extra high 0.01379 0.01689 0.04518 0.07586

pos 43 WLTC rev2 extra high 0.02436 0.02930 0.07676 0.13043pos 53 WLTC v3 111108 extra high 0.02375 0.02758 0.06986 0.12119pos 63 WLTC v3 HS_JP_HS4 extra high 0.02675 0.03352 0.04518 0.10546

sum of least square differences

H.S.H.S.Time series of the different cycle versions

24

• Figures 14 to 17 show the time series of the different cycle versions.

H.S.H.S.

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vehi

cle

spee

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km

/h

time in s

WLTC rev2

WLTC v3 111108

WLTC v3 HS_JP_HS4

Time series, low

25Figure 14

H.S.H.S.

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600 660 720 780 840 900 960 1,020

vehi

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/h

time in s

WLTC rev2

WLTC v3 111108

WLTC v3 HS_JP_HS4

Time series, medium

26Figure 15

H.S.H.S.

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vehi

cle

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/h

time in s

WLTC rev2

WLTC v3 111108

WLTC v3 HS_JP_HS4

Time series, high

27Figure 16

H.S.H.S.

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vehi

cle

spee

d in

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/h

time in s

WLTC rev2

WLTC v3 111108

WLTC v3 HS_JP_HS4

Time series, extra high

28Figure 17