应用改进遗传算法的电力变压器优化设计Ξ

:1000-582X(2002)09-0008-04X1,1,1,2(1.,400044;2.,400050):,,,,,S9,(IGA),:;;:TM41:A,(10),,,,,,[1],,;[2],,;[3],,,,J.W.Nims,[4,5],,[6],,,,,,,,,(ImprovedGeneticAlgorithm,IGA),[4],IGA;,,IGAS9-10kV,,,11.1(SimpleGeneticAlgorithm,SGA),:,,(),,,[7],[7]SGA,,,,,SGA20029Sep.2002259JournalofChongqingUniversityVol.25No.9X:2002-05-16:(1963-),,,©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.SGA,,;SGA,,,,,1.21.2.1,IGA,IGA,,1.2.2,,IGA,[0,1],,,:X=X1+(1-)X2X=(1-)X1+X2(1)XX;X1X2;(0,1),,,SGA,,IGA1.2.3IGA[8],,rd(rd{0,1}),(2)xi=xi+(t,ui-xi)rd=0xi-(t,xi-li)rd=1(2):(t,y)=y(1-rt2,r[0,1],t=1-FF(X)/FFmax,FF(X),FFmax;xiXi;xiXi;uilixi(t,y)y,(),0,,1.2.4IGA,[4],IGA[4]SGA1)ShubertShubert(3),,-186.73091IGA[4]SGAf(x1,x2)=2k=15i=1icos[(i+1)xk+i](3)1SGAIGAShubertx1x2f(x1,x2)SGA--0.8020-7.70874-186.7304IGA1-1.42514-7.08350-186.73092-0.800354.85803-186.73093-1.42515-0.80034-186.73094-0.800301.42522-186.730955.48298-1.42514-186.73096-7.70828-0.80045-186.73091Shubert1,[4]SGA,,IGA,2)IGAIGA,,1SGAIGAShubert(BestFmin)(Generation)9259:©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.IGASGA,SGA2IGA2.1,(4),minf(X)s.t.gi(X)0,i=1,2,,mhi(X)=0,i=1,2,,n(4)(SUMT),,;,[4]k[9],:F(X,k)=f(X)+P(X,k)P(X,k)=kmi=1|min(0,gi(X)|+ni=1|hi(X)|(5):k=1/T,T=T,[0,1]k,T,k,,,IGA:FF(X)=Fmax-F(X,k)(6)Fmax,,[7]2.2IGA,IGA,[10,11],,:1)N;2)(8),(6)(8)(9),3,t=0(t),i=1;1=(i-1)/N-12=1-1(i=1,,N)(7)F(x,)=1f1(x,)+2f2(x,)(8)f1(x,)=f1(x)+P1(x,)f2(x,)=f2(x)+P2(x,)(9)3),,,i=i+1,,(i=N);4)3,3,,,3t=t+1,i=1;5),2);,[0,1][11],332.3,S9,10,S9-1000P10kV,:SN=1000kVA;U1PU2=10P0.4kV;Y.yno;I0=0.7%;Uz=4.5%;Pk=10300W;P0=1700W22.3.12,,4.7%;,104.2%;10,,0.5%5.35%,(,:14Pkg24Pkg6Pkg3Pkg;6.3%)012002©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.2S9-1000P10S9-1000P10kVPmm23023024023549474849Pmm22.129.02.09.02.09.52.249.016161616Pmm22.814.03.013.23.013.22.6513.27666P%0.030.030.030.03PW1583150213121398PW9992104371025510272P%0.7130.6190.3080.394P%4.4194.5144.4654.432P61.561.55858.5P51.5525252P3293531377343003278510P11000210479611456010949810P24738724728922781723413010P3573893520853423773436282.3.2S910kV,3,,,,,,38.7MPa,100MPa,,,3,,IGA,IGA;,IGA,,IGA,;S9-1000P10kV,,:[1],.()[M].:,1990.[2],.[J].,1991,11(5):48-53.[3],.[J].,1998,12(2):139-143.[4],.[J].,1996,16(5):346-348.[5]NIMSJW,SMITHRE.Applicationofageneticalgorithmtopowertransformerdesign[J].ElectricMachinesandPowerSystems,1995,24(10):669-680.[6].[J].,2000,(2):5-7.[7]HOLLANDJH.AdaptiveofNaturalandArtificialSystems[M].AnnArbor:TheUniversityofMichiganPress,1975.[8].[J].,1998,9(11):876-879.[9].[J].,1998,13(2):136-140.[10].[M].:,1990.[11].[M].2.:,1995.(28)11259:©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.LightningProtectionPerformanceofTransmissionLinewithHighTowerandGreatSpanSIMAWen2xia1,CHENNing2,XUGao2feng1,GULe2guan1(1.TheKeyLaboratoryofHighVoltageEngineeringandElectricalNewTechnology,MinistryofEducation,ChongqingUniversity,Chongqing400044,China;2.ChongqingElectricalCompany,Chongqing400000,China)Abstract:Thispaperstudieslightningprotectionperformanceoftransmissionlinewithhightowerandgreatspan,andputsforwardthelightningshieldingmodeloftransmissionlinewithhightowerandgreatspan.Themodelsimulatesthedevelopingprocessoflightningdownwardleader,andtaketheeffectofupwardleadertodownwardleaderintoaccount.Moreover,themodelconsiderbackwardlightning,thatisevendownwardleaderhavedevelopedlowerthantransmissionline,Whichwillbeoccurlightningline.Aimatacertainseatransmissionlinewithgreatspan,itslightningperformanceiscalculatedwithregularmethod,EGMandthemodel.Theresultshavebeenanalysedandcompared.Becauseofthinkingoverbackwardlightning,themodelcanbeusedforcalculatinglightningshieldperformanceofallkindsoftransmissionlines.Keywords:lightningprotection;transmissionline;model()(11)AnImprovedGeneticAlgorithmforOptimumDesignofPowerTransformersHANLi1,LIHui1,YANGShun2chang1,HEBei2(1.CollegeofElectricalEngineering,ChongqingUniversity,Chongqing400044,China;2.InformationCenter,YangjiapingElectricPowerBureau,Chongqing400050,China)Abstract:Inordertoenhancetheabilityofglobalsearchingforgeneticalgorithminpowertransformersoptimizationdesign,someinterrelatedkeytechniqueproblemssuchasencodingmethod,geneticoperators,restrictcondition,fitnessfunctionforthetraditionalgeneticalgorithmarefurtherreformed.AnImprovedGeneticAlgorithm(IGA)isdeveloped.TheoptimalresultsofarepresentativemathematicalexampleshowthatIGAhashighefficiencyofglobalsearching.Atthesametime,amulti-objectivealgorithmbasedonIGAisstudiedinthispaper.IGAisappliedtothesingleandmulti-objectiveoptimumdesignofS9powertransformersforthefirsttime.AlltheachievementsinthepaperareverifiedapracticalS9-1000P10kVpowertransformer.AlltheoptimizationresultsaresatisfactoryandshowthatIGAhaspowerfulabilityofglobalsearching,excellentsolutionprecisionandhasabrightapplicationprospectinthefieldsofpowertransformersdesign.Keywords:powertransformers;optimumdesign;improvedgeneticalgorithm()822002©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.