计及能量掺混的风电机组尾流叠加模型研究

RenewableEnergyResources

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Vol.37No.2Feb.2019

计及能量掺混的风电机组尾流叠加模型研究

邵振州1袁刘永前1袁李

渊1.100039冤摘莉1袁禇景春2袁袁

102206曰2.凌2袁袁要院曰袁遥袁袁袁遥袁遥

袁袁曰Lillgrund袁袁曰遥文章编号院1671-5292渊2019冤02-0256-05

关键词院中图分类号院TK83文献标志码院A

0前言

袁尧袁10%~20%[1]遥袁尧尧[2]袁[3]遥CFD袁遥袁遥袁[4]袁[5]遥袁袁遥

袁遥遥4[6]袁渊GS冤尧渊LS冤尧渊EB冤渊SS冤遥LSLissaman[7]袁遥Crespo[8]Katic[9]袁袁遥Voutsinas[10]袁遥袁[11]遥SSEB遥

袁EB袁遥袁遥袁袁袁遥袁袁袁遥1单机经验尾流模型

Jensen

袁遥SS收稿日期院2018-11-29遥

基金项目院渊2017YFE0109000冤曰渊2018QN062冤遥作者简介院渊1988-冤袁袁袁尧遥E-mail院ncepushao@163.com

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邵振州袁等计及能量掺混的风电机组尾流叠加模型研究

Jensen袁Ris覬Jensen袁尧遥NO遥

袁袁遥uCw0t尧uk尧尧袁uw=u0蓘院

x1-渊1-姨1-Ct冤渊rr冤2院r00曰r+0kx袁Wasp0+kx蓡渊1冤x

0.05k0.075袁k[12]2

改进的风电场尾流叠加模型

遥SS遥袁袁袁jjNEBEBuNSS

院u蓸02-uj2=蔀移i渊ui2-uij2冤

1-uuj02=曰u移Nij蓸1-uuijij蔀渊2冤

2渊3冤曰ui0i曰uijijSS遥EB遥袁袁袁遥1遥

1

2

E+3

u0A0u1A1u2A2uWAWFig.1Schematic图1representation包含风力机的控制体示意图

ofcontrolvolume袁awindturbine

around

袁1

袁尧1院籽A0u03-E-=1遥籽A渊4冤院E-2遥2wuw3袁院h-院h-遥=u02-uw2渊5冤渊5冤袁渊2冤遥

遥[10]袁袁遥袁袁遥h+驻h=h-袁渊5冤E+院驻h-袁h+驻h=u02-uw2-h+渊6冤[13]袁袁遥遥袁渊1uA袁2遥2冤袁12袁遥袁12籽A2u23+1籽渊Aw-A2冤u03+E+=1籽Awu2院

2w3渊7冤A2=

渊1-21-21-aaaA1渊8冤

uC2=冤u0渊9冤

t院a=4a渊1-曰Aa冤曰C渊10冤

t遥

1渊7冤嗓蓘蓸1-2h+=uw2-1+

a0.5蔀籽A3-1蓡w渊1-uw3a冤院

1-2aAA1uW瑟u03窑257窑

渊11冤

w可再生能源

2019袁37渊2冤

渊11冤渊6冤袁院

驻h=u02-2uw2+嗓1+蓘蓸1-2a1-2蔀3-1a蓡渊1-a冤AA1uw瑟03渊12冤

uw袁u移02-嗓uj2n=

iui2-2u

w2+蓸1+

蓘蓸1-2ai1-2蔀3-1ai蓡渊1-ai冤AA1ij蔀uui3ij瑟院Aijij渊13冤曰aiiui3遥

3.1LillgrundLillgrund风电场计算结果与分析Lillgrund风电场简介

48SWT-2.3-93[14]652.3MW袁渊D冤92.6遥m遥遥m袁袁2袁3.3D渊120毅冤

4.3D渊222毅冤遥

4.3D

3.3D

120毅

222毅

3.2串列机组功率损失

Fig.2图Layout2LillgrundoftheLillgrund风电场内机组布局

offshorewindfarm

1-Pi袁P/P0袁PiJensen0遥3120毅222毅袁9m/sLillgrund3.3窑258窑D4.3D遥Jensen袁k0.05袁EB袁SS渊MEB冤遥[-2.5毅袁2.5毅]袁袁0.5毅袁3遥

1.00.80.60.40.2MEBEBSS00

5

10=3.3D袁=120依2.5/D

1520

25

渊a冤毅

1.0

0.80.60.40.2MEBEB0SS0

5

10

15/D

2025

30

渊b冤=4.3D袁=222依2.5毅

Fig.3Power图3deficit不同间距下机组的功率损失

inarowwithdifferentspacing

3袁袁2袁181.7%64.5%遥30.8%遥袁1袁EBSSMEB31.3%EB遥袁23.3风电场效率

SS袁遥MEB遥

eff=移iPi/NP0渊14冤

院N曰Pi邵振州袁等计及能量掺混的风电机组尾流叠加模型研究

曰P0遥

袁39m/s袁4遥

MEBEB

900毅

SS80706050

270毅

403020

90毅

180毅

Fig.4图4The不同叠加模型计算的风电场效率随风向变化曲线variationcurvesofcalculatedwindfarmalongwithdifferent渊RMSE冤winddirections

efficiency

渊MAPE冤袁姨遥

RMSE=MM1ii-effmea袁i冤2渊15冤

MAPE=

M1effmodel袁effi-mea袁effimea袁i伊100%渊16冤

移

M移渊effmodel袁i院M曰effimodel袁i袁effmea袁i遥袁3袁袁EBSS遥13RMSEMAPE袁RMSE2.21%袁MAPE2.78%袁遥

Table1表Simulation1不同模型的模拟误差

EBRMSEerrorofdifferentmodels

SS7.26/%MAPEMEB

7.629.42/%5.41

9.586.80

4结论

袁遥袁遥淤2袁遥袁32袁于遥袁3遥Lillgrund袁遥SSMAPEEB2.62%2.78%遥

参考文献院

[1]

ModellingBarthelmieRJ袁HansenK袁FrandsenST袁etal.

inlargewindandfarmsmeasuringoffshoreflow[J].WindandwindEnergy袁2009袁12turbinewakes[2]渊5冤院431-444.[3]

袁袁[J].袁.袁袁袁袁2014袁32渊4冤院429-435..袁2014袁32渊9冤院1319-[4]Larsen1326.

[J].modelGSustainable[R].Copenhagen院Ris覬C.Asimplestationarysemi-analyticalwake

2009.

Energy袁TechnicalNationalUniversityLaboratoryofDenmark袁for[5]FrandsenmodellingS袁BarthelmieR袁PryorS袁etal.Analytical[6]farms[J].WindofwindspeeddeficitinlargeoffshoreKuoJYJ袁RomeroEnergy袁2006袁9渊1-2冤院39-53.

windsemiDA袁AmonCH.Amechanistic[7]

layout-empiricaloptimization[J].Energy袁2015袁93院2157-2165.wakeinteractionmodelforwindfarm328.

ofLissamanwindturbines[J].JournalPBS.EnergyeffectivenessofEnergy袁1979袁1渊6冤院323-

ofarbitraryarrays

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可再生能源

[8][9]

CrespoA袁Hern佗ndezJ袁FrandsenS.SurveyofmodellingEnergy袁2015袁2渊1冤院1-24.

methodsforwindturbinewakesandwindfarms[J].Windclusterefficiency[A].ProceedingsoftheEuropeanWindEWEA袁1986.407-410.

KaticI袁H覬jstrupJ袁JensenNO.Asimplemodelfor

2019袁37渊2冤

andcomparisonswithmeasureddatafromAlsvik[D].[12]MortensenNG袁HeathfieldDN袁MyllerupL袁etal.

Laboratory袁2007.

Stockholm院RoyalInstituteofTechnology袁2000.GettingstartedwithWAsP9[R].Roskilde院Ris覬NationalEarthscan袁2008.27-30.

EnergyAssociationConference&Exhibition[C].Rome院[10]RadosKG袁VoutsinasSG袁ZervosA.Wakeeffectsin

Proceedings[C].Travemunde院EWEC袁1993.444-447.windparks.Anewmodellingapproach[A].Scientific

[13]HansenM.AerodynamicsofWindTurbines[M].London院[14]GocmenT袁LaanPVD袁R佴thor佴PE袁etal.Wind

UniversityofDenmark院Areview

SustainableEnergyReviews袁2016袁60院752-769.turbinewakemodelsdevelopedattheTechnical

[11]ErikD.Evaluationofthesoftwareprogramwindfarm

[J].Renewable&

Researchonwakeinteractionmodelforwindturbines

consideringenergymixing

渊1.StateKeyLaboratoryofAlternateElectricalPowerSystemwithRenewableEnergySources袁NorthChinaElectricPowerUniversity袁Beijing102206袁China曰2.GuodianUnitedPowerTechnologyCompanyLtd.袁Beijing100039袁China冤

ShaoZhenzhou1袁LiuYongqian1袁LiLi1袁ChuJingchun2袁YuanLing2Abstract院Inawindfarm袁onewindturbinesmightbeaffectedbydozensofupstreamturbines.Wakeinteractionmodelsarecommonlyusedinengineeringtosimulatethiswakesuperpositioneffect.Theenergyexchangebetweenthewakeregionandtheambientatmosphereleadstotherecoveryofthewake袁whichcannotbereflectedbythesuperpositionmodelscommonlyusedintheprojectatpresent.Basedonone-dimensionalmomentumtheory袁theenergyinvolvedintothewakefromtheambientatmosphereforwakerecoveryiscalculatedandinductedintotheenergyconservationfunctioninthispapersoasanovelwakeinteractionmodelwithenergymixingforwindturbinesisproposed.ThecomparisonresultsofmodelsimulationswithmeasureddataofLillgrundoffshorewindfarmsshowthatthecalculationaccuracyofthisnewinteractionmodelishigherthanthatofthetwotraditionalones.Theresearchprovidesareferencetothecalculationofwindfarmpowergeneration.

Keywords院windfarm曰energymixing曰wakeinteractionmodel曰windfarmefficiency

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