robert e. sheldahl · a 2-m-dia darrieus vertical axis wind turbine with naca-0012 blades was...

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SAND80-2469 ,. Unlimited Retease ,- UC-60 .% k . ,’. 4 ,. .. Comparison of Field and Wind Tunnel Darrieus Wind Turbine Data .. ,. ,.. .,. ,, ,. . Robert E. Sheldahl -----

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Page 1: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

SAND80-2469 ,.

Unlimited Retease ,-UC-60 .%

k.

,’. 4,.....

Comparison of Field and Wind TunnelDarrieus Wind Turbine Data

..,. ,..

.,.,,

,..

Robert E. Sheldahl -----

Page 2: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

Is-sued by Sandia National Laboratories, operated for the United States Department ofEnerev bv Sandia Corporation.~.NOTICE: This report was prepared as an account of work sponsored by an agency of theUnited States Government. .Neither the United States Government nor any agency thereof,nor any of their employees, nor any of their contractors, subcontractors, or theiremployees, makes any wazranty, express m unplied, or assume’s any legal liability orresponsibility for the accuracy, completeness, or usefulness of any information, apparatus,product, or process disclosed, or represents that Its us: would not infringe privatelyowned rights. Reference herein to any specific commercial product, process, or serviceby trade name, trademark, manufacturer, or otherwise, does not necessarily constitute orImply Its endorsement, recommendation, or favoring by tbe United .States Government,any agency ,thereof or any of their contractors or subcontractors. The views and opinionsexpressed herein do not necessarily state or reflect those of the United StatesGovernment, any agency thereof or any of theti contractors or subcontractors.

Printed In the United States of America

Available fromNational Techmcal Information Service

U. S. Department of Commerce

5285 Port Royal RoadSpringfield, VA 22161

NTIS price codes

Pr\nted copy: $5.00

Mlcrof!che ccpy: AO1

Page 3: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

SAND80-2469Unlimited ReleasePrinted January 1981

DistributionCategory UC-60

Comparison of Field andWind Tunnel Darrieus WindTurbine Data

Robert E. SheldahlAerothermodynamics Division 5633Sandia National LaboratoriesAlbuquerque, New Mexico 87185

AbstractA 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 bladeswas extensively tested in the Vought Corporation Low Speed WindTunnel. This same turbine was installed in the field at the SandiaNational Laboratories Wind Turbine Test Site and operated to deter-mine if field data corresponded to data obtained in the wind tunnel. It isbelieved that the accuracy of the wind tunnel test data was verified andthus the credibility of that data base was further established.

Page 4: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

AcknowledgmentThe efforts of the personnel in Sandia National Laboratories’ AdvancedEnergy Projects Division are greatly appreciated.

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Page 5: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

NomenclatureA,

c

Cp

J

KP

L

N

QR

Re,

Va

x

l%

Pm

cd

u

I’urbine swept area

Blade chord length

Pc~wer Coefficient,Qo

+p~V~A,

vAdvance ratio, ~

Performance coefficient,Q~

+PmA$RW)3

Bkade length

Number of blades

Turbine aerodynamic torque

Turbine maximum radiuspWRuc

Chord Reynolds number, ————Pm

Average freestream velocity

Turbine tip-speed ratio, ~m

Freestream viscosity

Freestream density

Turbine rotational speedNcL

Solidity, ~s

5.6

Page 6: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine
Page 7: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

Comparison of Field andWind Tunnel Darrieus WindTurbine Data

IntroductionA 2-m-dia Darrieus Vertical Axis Wind Turbine

with NACA-0012 airfoil blades was extensively test-ed in the Vought Corporation Low Speed Wind Tun-nel.l, 2The data obtained from these tests were used asthe data base for the development of other turbines.Concern about the applicability of wind-tunnel data,obtained under ideal conditions, to turbines operat-ing in the field precipitated the installation of thewind-tunnel model in the field at the Sandia Nation-al Laboratories Wind Turbine Site. The 2-m turbinewas operated for a limited amount of time to deter-mine if field data corresponded to data obtained inthe wind tunnel. The results of this direct compari-son are presented.

Test Model and FacilitiesFigure I shows a downstream view of the 2-m-dia

model in the 4.6- x 6.1-m (15- x 20-ft) wind-tunnel testsection. Controls for both the wind turbine and thewind tunnel are located behind the windows shownon the right side of the figure. The turbine bladesattached to the rotating tower were machined from ahigh-strength aluminum alloy (7075-T6) to theNACA-0012 airfoil section as a flat ribbon and thenformed to the curved shape. The shape is a straightline/circular arc approximation of the troposkien.1 ZThe height of the turbine blades is 2 m (distancebetween upper and lower virtual intersections of theblades with the turbine axis), with a maximum radiusat the equator of 0.98 m.

The rotating tower is attached to the power andinstrumentation train that consists of a precisiontorque and rotation transducer, a right-angle geartransmission with a 2:1 gear ratio, and a speed-controlled 3.7 kW (5-hp) electric motor/generator.The 2:1 gearbox allowed a better match between the

wind turbine and the motor/ generator load charac-teristics. The motor/ generator speed was controlledby a Morse LTV-5 ac adjustable speed controller. Thissame 2-m system was later installed at the WindTurbine Test Site at Sandia Laboratories (Figure 2).The 2-m turbine, standing in the foreground, sharesthe test site with the Sandia 5-m and 17-m turbinesand suitable anemometry for each turbine. The con-trols and instrumentation for the turbines are located‘in a nearby control buildings, A that also houses aminicomputer and recording system to reduce theraw data to usable form and record the data for futureuse.

Testing and Data AcquisitionThe test procedures in the wind tunnel were

conventional.l, 2The turbine was rotated at a rotation-al speed which was determined and controlled by thespeed controller. The wind velocity was adjusted to apredetermined value; the steady-state turbine torquewas measured and recorded along with the wind-tunnel conditions and turbine-rotational speed. Thisdefined one data point. The procedure was repeatedwith new wind speeds until sufficient steady-statedata points were obtained to define the performanceof the turbine (Figures 3 and 4).

The testing of turbines in the field offers prob-lems not usually encountered in wind-tunnel testing.In particular, although the turbine rotational speedcan be held constant by the speed controller, theatmospheric wind speed seldom remains constant forany appreciable length of time. Consequently, it isdifficult to assign an appropirate wind velocity corre-sponding to a given torque measurement. Computercode BINS,5 which uses the “method of bins” tostatistically average the wind speed and torque data,was developed to assist the data acquisition. The

7

Page 8: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine
Page 9: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

Figure 2. Photograph of 2-m Model at the Sandia Laboratories Wind Turbine Test Site

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Page 10: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

I I , I I , I I I I I 1 I , I I I I I I1

-t

—Wind Tunnel, 400 rpm, ReC = 1.5 x 105

0.5 0 Field, 460 rpm, Rec = 1.5 x 105

0 Field, 400 rpm, Rec = 1.3 x 105

0.4-.(L

0.3

0.2

0.1

0.0 1

2-m Turbine3 NACA-0012 Blades20% Solidity

-0.1 –\

I 1’ I Io, , 1 I I I 1 I 1 I I 1 I I I 1

0 1 2 3 4 5 6 7 8 9 10 11 12

\El

Tip-Speed Ratio (X)Figure 3. Comparison of Power Coefficients for the 2-m Turbine in the Field and Wind Tunnel

—7.0 I , I , I I 1 I , r ! 1 I , r r r I I

6.0n

r-lo

; 5.0 –

a

5 4.0 –Ucal+.: 3.0 —

2al:2.0 —

—Wind Tunnel, 400 rpm, Rec = 1.5 x 105

0 Field, 460 rpm, Rec = 1.5 x 105

Cl Field, 400 rpm, Rec = 1.3 x 105

2-m Turbine3 NACA-0012 Blades20% Solidity

k?’@f@

-4

1 , 1 I I , 1 I I I , 1 1 1 I 1 1 I , , $ I ,0 0.1 0.2 0.3 0.4 0.5

Advance Ratio (J)Figure 4. Comparison of Performance Coefficients for the 2-m Turbine in the Field and Wind Tunnel.

10

Page 11: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

wind speed and torque are recorded at sample rateschosen by the operator, generally from 1 to 20 datasamples per second. The data are stored as a functionof the velocity bins (120 bins for velocities from O to60 mph). Each bin records the number of data pointsand the total summed torque. Each data record (con-sisting of the 120 velocity bins, number of datapoints, and the summed torque for each bin) alsocontains information which is constant for each datarecord,. These constants are the rotational speed,number of blades, anemometer identification, wind-shear correction factor, temperature, barometric pres-sure, time of day, and turbine tare torque. The turbinetare torque is the torque lost in the turbine due tobearing friction and gear losses.

Data are taken when winds are avaiIable, so a testmay be a few minutes long or extend past an hour.These tests were performed on a day-to-day basis; theend result was a large amount of data taken for a widerange of wind conditions over many days. These datafor a given rotational speed can be combined into adata set, and the performance of the turbine can becomputed by the minicomputer in the control build-ing. The data are corrected for the day-to-day vari-ations of the ambient air density; the results of thesummed data records are presented in the form ofpower coefficient as a function of tip-speed ratio andperformance coefficient as a function of advanceratio.

The 2-m turbine was configured in the field withthree blades (chord length = 5.877 cm) producing asolidity of 20%. This initial configuration was chosenbecause 40% of the data obtained in the wind tunnelwere with a turbine solidity of 20%. Two anemo-meters were placed near the turbine at equator heightand at a sufficient distance from the turbine (twoturbine diameters) to minimize the effect of potentialflow about the turbine and yet close enough to mea-sure accurately the wind velocity in the vicinity ofthe turbine.

Results and DiscussionThe data obtained from tests of the 2-m turbine in

the wind tunnel and in the field are presented in theform of power coefficient, CP, as a function of tip-speed ratio, X (Figure 3). The power coefficient is astandard measure of the turbine’s performance. Thedata also are presented in the form of performancecoefficient, KP, as a function of advance ratio, J (Fig-ure 4). This performance coefficient also is a powercoeff:~cient, where the wind velocity of the power

coefficient, CP, has been replaced by the blade equa-torial velocity. The performance coefficient was de-veloped for three reasons: (1) KP shows that powerreaches a maximum at a particular value of J (windspeed) when the turbine rotational speed is constant;(2) KP describes more clearly the power output char-acteristics of the wind turbine operating in the syn-chronous mode; and (3) since the calculation of CPinvolves a wind velocity cubed, large errors in thecalculation can occur due to errors in the wind-speedmeasurement.

The turbine was initially operated in the field at arotational speed of 460 rpm with three blades (5.877-cm chord) and a solidity of 207. to produce a chordReynolds number (ReC) of 1.5 x 105. These data arecompared with the wind-tunnel data obtained withthe identical configuration and ReC but with a rota-tional speed of 400 rpm. The difference in rotationalspeeds required to match the ReC was due to differ-ences in test conditions between the wind tunnel andthe wind turbine test site. Following the acquisitionof the 460-rpm data in the field, the rotational speedwas lowered to 400 rpm to match the rotational speedof the turbine when it was in the wind tunnel. TheReC was thus Iowered to 1.3 x 105. These two sets offield data are presented and compared with the wind-tunnel data in Figures 3 and 4. The maximum value ofCP for the wind-tunnel data was 0.32 at X = 4.70which compares to 0.34 at X = 5.15 for 460 rpm and0.32 at X = 5.25 for 400 rpm in the field. The fielddata in Figure 3 shows improved performance (largervalues of CP) over the wind-tunnel data for tip-speedratios greater than 5 (lower wind speeds). This maybe a result of the blockage correction factor used tocorrect the wind-tunnel velocity due to model solidand wake blockage or it may be a real differencebetween wind-tunnel and field-turbine performance.

As mentioned previously, KP with its reduceddependency on the wind velocity is an attractivecoefficient with which to compare turbine perfor-mance. The KP as a function of the advance ratio isshown in Figure 4. The maximum value of KP for thewind tunnel is approximately 3.8 x 10-s at J = 0.24which compares to 4.0 x 10-s at J = 0.25 for 460 rpmand 3.4 x 10-3 at J = 0.25 for 400 rpm in the field. Notethe close agreement in KP values for the wind-tunnel data and 460-rpm fie?d data when both areobtained at a ReC of 1.5 x 10S. The 400-rpm field dataexhibit a slightly lower KP with its slightly lowerReC.Note also the good agre~hent of KP for J less than0.25 (low wind speeds), with the field data slightlyhigher than the wind-tunnel data. It was concludedthat the performance of the 2-m turbine in the wind

11

Page 12: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

tunnel was accurate for this operating condition, andthere was no reason to expect that the results forother operating conditions would not be the same.Testing of the 2-m turbine for the purpose of directdata comparisons therefore was terminated.

ConclusionsThe 2-m-dia Darrieus Vertical Axis Wind Turbine

was tested in the field at the Sandia National Labora-tories Wind Turbine Site for a limited number ofconditions to make a direct comparison with the dataobtained previously with the same identically confi-gured turbine in a wind tunnel. One comparisonwith the wind-tunnel data was made with field dataof equivalent ReC. A second comparison was made atan equivalent rotational speed. The maximum valuesof the power coefficients compared very favorably;the CP for the wind tunnel was 0.32, and the CPof the ~~ld data at equivalent ReC(1.5 x 10s) was O.?~The slight difference is within the experimental accu-racy of the measurements. The second set of field dataat equivalent rotational speed (400 rpm) shows iden-tical values for CP . It is believed that comparisonsshould be made o~the basis of equivalent ReC; how-ever, the equivalent rotational speed was includedfor completeness. The field data show improved(higher) values of CP over the wind-tunnel data fortip-speed ratios in excess of 5.0. This may be due tothe blockage correction factor used to correct thewind-tunnel velocity or it may be a real difference(although slight) between wind-tunnel and field-turbine performance.

An examination of performance coefficientswhich do not have the cubed dependence on windspeed shows again the excellent agreement between

the wind tunnel and field data. The value of KPfrom the wind-tunnel test was 3.8 x 10-3whereas KPmaxfor the equivalent ReCin the field was 4.0x 10-3. KPmaxfor the equivalent rotational speed was 3.4 x 10-3. Tfi~lower value of performance coefficient was expectedbecause it was obtained with the turbine operating ata lower ReC.

Field testing of the 2-m turbine for direct datacomparison was terminated due to the excellentagreement of the first two field-data sets with thewind-tunnel data. It is believed that the accuracy ofthe wind-tunnel test data was verified and the credi-bility of that data base was further established.

References1 B F Blackwell, R. E. Sheldahl, and L. V. Feltz, Wind ‘Unne[

Pcr&nflncc Data for the Dorrirus W/rid Turbi)~c Wit/I NACA-0012Blndrs, SAND76-0130 (Albuquerque: Sandia Laboratories, May’1976).

2 B F, Bla~k~ell and R, E. Sheldahl, “Selected Wind Tunnel Test

Results for the Darrieus Wind Turbine,” ~ournal o/ Energy, Vol. 1,No. 6, November/December 1977, pp 382-386.3 R E, Sheldahl, p, C, Kljmas, and L, V. Feltz, Ae@mnrnc p@Or-

mnIIccofa5-Metre-Diameter Darricus Turbine With Extruded AluminumNACA-0015 Bladm, SAND80-0179 (Albuquerque: Sandia NationalLaboratories, March 1980).“1 R ~, Sheldahl, p, C, Klimas, and L. V. Feltz, “Aerodynamic

Performance of a 5-Metre-Diameter Darrieus Turbine,” \ourrral of

Enmgy, Vol. 4, No. 6, November/ December 1980.

5 R E, Akins, p~rforma}lcc Et,aluation of Wind Encrg.y COnverslOn

Systems Using the Method of Brns-Current Status, SAND77-1375 (Al-buquerque: Sandia Laboratories, March 1978).

6 R E. Sheldahl and B. F. Blackwell, Free-Air Pcr)orrnance Tests of a

5-Mctrc-Dlamctcr Darricus Turbine, SAND77-1063 (Albuquerque:Sandia Laboratoriesr December 1977).

12

Page 13: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine

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Page 22: Robert E. Sheldahl · A 2-m-dia Darrieus Vertical Axis Wind Turbine with NACA-0012 blades was extensively tested in the Vought Corporation Low Speed Wind Tunnel. This same turbine