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:025420096(2006)0620593206NSGA2:2006202208:(2004EA105003)1,2,1,1(11,710049;21,710055):,,,LPSP(NSGA2),,2,NSGA2Pareto:;;;;:TM614,TM615:A0,,[1],,,,[24],,,,,(PVpanel),(WindTurbineGenerator,WTG),,Pareto,Pareto,[5]Pareto,Pareto,Pareto,Pareto[5],ParetoNSGA2(elitistnon2dominatedsortinggeneticalgorithm)[6],()11111,DC(MaximumPowerPointTracker,MPPT)DC27620066ACTAENERGIAESOLARISSINICAVol127,No16Jun1,2006©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[7]HDKR,,HDKR[7][2,8]MATLAB3,MPPT[9]1,(DeepOfDis2charge,DOD)50%,,MPPTMPPT1,019112LPSP(LossofPowerSupplyProbabili2ty)[2],[8],,,1a,1h,LPS(LossofPowerSup2ply)2NSGA2211[6]:MinPMaxfm(X),m=1,2,...,Msubjecttogj(X)0,j=1,2,...,Jhk(X)=0,k=1,2,...,Kxi(L)xixi(U),i=1,2,...,n(1)Xn,X=(x1,x2,...,xn)Txixi(L)xi(U),gj(X)hk(X)X,fm(X),nM(GeneticAlgorithm,GA),,()[10]Pareto,[5]59427©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:Pareto;[6],NSGA2(ElitistNon2dominatedSort2ingGA),PAES(Pareto2archivedEvaluationStrategy),SPEA(Strength2ParetoEvolutionaryAlgorithm),NSGA(Non2dominatedSortingGA),VEGA(Vector2evaluatedGA),NSGA2[11]212NSGA2NSGA2[6,11],P0,N,(binarytournamentselection),Q0,N,NSGA2,:Step1PtQtRt,Rt=PtQtRtRtF=(F1,F2,...)Step2Pt+1=,i=1Fi(crowdingdistance),Pt+1=Pt+1Fii=i+1,|Pt+1|+|Fi|NStep3Fi(Fi,;n)Fi(N-|Pt+1|,Pt+1=Pt+1Fi[1(N-|Pt+1|)]Step4Pt+1Qt+1Step1,Rt=PtQtStep3,(crowded2comparisonop2erator);nFiStep4,(binarytournamentselectionoperator),;n;nPareto,NS2GA2NSGA22213LP2SP,,[7,9]:2NSGA2Fig12MainprocedureoftheNSGA2Ctotal=CWPB+C0(2),CWPB;C0,C0Ctotal,CWPB,5NPVSNbats,:minimizeLPSPminimizeCWPB=CWTGTypeNWTG+CPVNPV+CbatNbatwhereNWTG=0,1,2,NPV=NPVSNPVP,NPVP=0,1,2,Nbat=NbatSNbatP,NbatP=0,1,2,Type=,,,(3),CWTGType;CPV;Cbat;NPV;NPVP;Nbat;NbatP;NWTG;TypeLPSPHDKR,HDKR[12],,,LPSP,3030,[090]33116:NSGA2595©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[2]3,42223BostonFig13AtypicalloadprofileinBoston,MATMY2s(TypicalMeteorologicalYear)NREL(NationalRenewableEnergyLabratory)NSRDB(NationalSolarRadiationDataBase),2391a[13]FD,NDL2W1,AGM22005FD1kWFD3kWFD5kWFD715kWFD10kW,,44FDFig14PowercurvesoftheFDseriesofWTGs312[TypeNWTGNPVPNbatP],,[5]NSGA2,SBX(simulatebinarycrossover)(polynomialmutation)[14]019,011,50,200NPVS=3,NbatS=24NSGA25NSGA2,5NSGA2Fig15Obtainednon2dominatedfrontbyNSGA2[24]NSGA2Pareto,,,,,22Pareto:foreveryTypedo;foreveryNWTGdo;foreverydo;findtheoptimalNPVPandNbatP(LPSP=LPSPepsilon);endfor;endfor;endfor1NSGA2[TypeNWTGNPVPNbatP]=[I81258]LPSP=0.005CWPB= 18873059627©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=NWTG=8=12,NPVP=5,NbatP=8,6,LPSP,-CPVNPVSCbatNbatS=-5202421503=-1.94Type=NWTG=8NPVP=5NbatP=8,=12,7FD1kW,Type=55Epsilon,5LPSPepsilon,NSGA2Pareto6Type=NWTG=8=12NPVP=5NbatP=8Fig16TheoptimalconfigurationofNPVP=5,NbatP=8forthegivenconditionsasType=,NWTG=8,=127Type=NWTG=8NPVP=5NbatP=8=12Fig17=12isoptimalforthegivenconditionsasType=,NWTG=8,NPVP=5,NbatP=8[24],FD10kW,=42,[NPVPNbatp]=[59]LPSP=01005CWPB= 2705705BenchmarkFD10kWFD1kW,ParetoPareto[TypeNWTGNPVPNbatP]=[81258],LPS8,SOC(StateofCharge)98[TypeNWTGPV-PNbat-P=[81258]LPSFig18TheLossofpowersupplyoftheoptimalconfiguration[TypeNWTGPVPNbatP]=[81258]9[TypeNWTGPVPNbatP=[81258]SOCFig19TheSOCofthebatterybankoftheoptimalconfiguration[TypeNWTGPVPNbatP]=[81258]4,,LPSPNSGA2,6:NSGA2597©1994-2008ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[][1]HabibMA,SaidSAM,El2HadidyMA,etal.Optimiza2tionprocedureofhybridphotovoltaicwindenergysystem[J].Energy,1999,24(11):919929.[2]BorowyBogdanS,SalamehZiyadM.Methodologyforopti2mallysizingthecombinationofabatterybankandPVarrayinawindPPVhybridsystem[J].IEEETransactiononEnergyConversion,1996,11(2):367375.[3]WillisHL,ScottWG.Distributedpowergeneration:plan2ningandevaluation[M].NewYork:MarcelDekker,2000.[4]AiB,YangH,ShenH,LiaoX.Computer2aideddesignofPVPwindhybridsystem[J].RenewableEnergy,2003,28:14911512.[5]GenMitsuo,ChengRunwei.Geneticalgorithmsandengineer2ingoptimization[M].NewYork:Wiley2Interscience,1999.[6]DebK.Multi2objectiveoptimizationusingevolutionaryalgo2rithms[M].Chichester,England:JohnWiley&Sons,2001.[7]DuffieJohnA,BeckmanWilliamA.Solarengineeringofthermalprocesses[M].NewYork:Wiley,1991.[8]ManwellJF,RogersA,HaymanG,etal.Hybrid2:ahy2bridsystemsimulationmodeltheorymanual[R].NationalRe2newableEnergyLaboratory,1995.[9]LasnierFrance,AngTonyGan.Photovoltaicengineeringhandbook[M].Bristol,England:A.Hilger,c1990.[10],.[M].:,2002.[11]KalyanmoyDeb,AmritPratap,SameerAgarwal.Afastmul2tiobjectivegeneticalgorithms:NSGA2[J].IEEETransac2tiononEvolutionaryComputation,2002,6(2):182197.[12]HartleyLE,Martinez2LozanoJA,UtrillaMP,etal.Theoptimizationofinclinationofasolarcollectortomaximizetheincidentsolarradiation[J].RenewableEnergy,1999,17:291309.[13]MarionWilliam,UrbanKen.UsersmanualforTMY2s[R].NationalRenewableEnergyLaboratory,1995.[14]DebK,MitraK,DewriR,etal.Unveil