高温超导交流电缆电流分布及结构优化的研究

38420044JOURNALOFXIANJIAOTONGUNIVERSITYVol.384Apr.2004,,,(,710049,):,,,.,,,-,.,,,.:;;;:TM24917:A:0253-987X(2004)04-0352-05StudyontheCurrentDistributionandStructuralOptimizationofaHigh2TemperatureSuperconductingACPowerCableZhaoZhen,QiuJie,WangShuhong,GongRuilei(SchoolofElectricalEngineering,XianJiaotongUniversity,Xian710049,China)Abstract:Forahigh2temperaturesuperconducting(HTS)cable,thenon2uniformACcurrentdistributionamongthemulti2layerconductorsgivesrisetotheincreasedAClosses.Theself2andmutual2inductancesarecalculatedforthemul2ti2layerconductors.Then,basedontheequivalentcircuitmodelofasuperconductingcable,thecurrentmatrixequationisconstructedtodeterminethecurrentdistribution.Subsequently,thewindingangle,windingdirectionandradiusofeachlayerareselectedastheoptimizationvariablesandauniformcurrentdistributionamongthemulti2layerconductorsissetastheobjective.Undertheconstraintsofthemechanicalpropertiesandcriticalcurrentofthetape,thestructurepa2rametersofthemulti2layerconductorsareoptimizedbythegenetic2simulatedannealingalgorithm.Theresultsmanifestthatbyoptimizationofthestructureparametersauniformcurrentdistributionamonglayerscanberealized,thustheAClossescanbereducedsubstantially.Keywords:high2temperaturesuperconductingcable;currentdistribution;geneticalgorithm;optimization,.,.,.,,,[14],.,.,1.[4],.,,,.:2003-08-23.:(1980),,;(),,.©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.ri;Li;Mij111.12,tan=2R/L,d=w/sin.I,nI,n,n=1d=sinw,nIsin.2,KKzK,Iz=Kz2R,I=K.,Iz,I.,,.R;L;;w;d21.2r,Bin=0IsiniwezrRiBout=0RiwrIcos(i)erRi(1):BinI;BoutIz.,[3],Li=04(tan2i+2lnDRi)i=1,2,,n(2):Rii;ii;D.1.3RiRj,RiRj,IiIj,ij,aiaj,-1+1.Bi=ai0Iisiniwez+aj0IjsinjwezrRiBij=0RiIicosiwre+aj0IjsinjwezRirRjBj=0wr(RiIicosi+RjIjcosj)erRj(3),,Mij=02aiaj2RiRjtan(i)tan(j)+lnDRj(4)1.4,1,jL1+r1jM12M1n-1jM21L2+r2jM2n-1jMn1Mn2Ln+rnj-1j-1j-1j-1j0I1I2InU=000-I(5):U.2,,3534,:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,.2.1(2)(4),aR.,3,n,3n,XX=[1,a1,R1,2,a2,R2,,n,an,Rn],minf(X)=n-1i=1nj=i+1|Iix(X)-Ijx(X)|+n-1i=1nj=i+1|Iiy(X)-Ijy(X)|:Iix(X)Iiy(X)iIi(X),XIi(X)(5).f(X)X,.2.2(1),,[5].,i-arcsin2Ricbt-0i-arcsinct+p-fcp-r-0(6):cb;ct;p;fc;r;t.(2),R1-Dmin2+tf+t20Ri+1-Ri-(tf+t)0i=1,2,,n-1Dmax2-Ri-(n-i)(tf+t)-t20i=1,2,,n(7):DminDmax;tf.(3),,[5]IiNiIck1k2k3k4=01648NiIck1i=1,2,,n(8):Ic;Iii,Ni;k1k2k3,k4,k2k3k4018019019[5].,,k1,k1.2.3,,,14,10,8m.(5),,1.1/()Ri/mmri/IiI-1total1234+1-1+1-127102710271027102015211021152210101010101010101001056-010350142901550:IiIiItotal,ItotalItotal.,,4110,2.400A,3.,.,-,.12,(6)(7)(8).2[5].2cb/%ct/%p/%fc/%r/%w/mmt/mmtf/mmIc/A01300115010501250130410001250110111645338©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.3,1,DminDmax40mm44mm.,3.3/()Ri/mmri/IiI-1total1234-1-1+1+1431526162710431220100201352113421188101010101010101001217012560126201266,.400A,4.4,.43:,;.Norris[6],Qti=0fI2ci2gIpiIcig(x)=(2-x)x+2(1-x)ln(1-x)(9):f;Ipii;Icii,(8).[6]Qmi=2fB2ii30Sii12fB2i01i-232iSii1i=Bi0Jcb(10):Bii;Sii;b;Jc().,iQti+Qmi,n,Q=ni=1Qti+ni=1Qmi(11),(13),5.,,,,.54,,,-.,5534,:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,.:[1]MukoyamaS,MiyoshiK,TsuboutiH,etal.UniformcurrentdistributionconductorofHTSpowercablewithvariabletape2windingpitches[J].IEEETransactionsonAppliedSupercon2ductivity,1999,9(2):12691272.[2]MukoyamaS,MiyoshiK,TsuboutiH,etal.50mlongHTSconductorforpowercable[J].IEEETransactionsonAppliedSuperconductivity,1997,7(2):10691072.[3]OlsenSK,DaumlingM,OstergaardJ,etal.Lossandinduc2tanceinvestigationsina42layersuperconductingprototypeca2bleconductor[J].IEEETransactionsonAppliedSupercon2ductivity,1999,9(2):833836.[4],.[J].,2000(2):710.[5],,,.1kA[J].,1999,21(2):122130.[6]LeeJi2kwang,ChaGueesoo.AClosscalculationofamulti2layerHTStransmissioncableconsideringthetwistofeachlayer[J].IEEETransactionsonAppliedSuperconductivity,2001,11(1):24332436.()(334).,JPEG2000.AlterastratixEPS1S25B7672C7,CLK39.267ns,(LE)183;CLK49.035ns,LE165,QeROMCX.:[1]TaruiM,OshitaM,OnoyeT,etal.Highspeedimplemen2tationofJBIGarithmeticcoder[A].TENCON,ChejuIs2land,SouthKorea,1999.[2]OngKK,ChangWH,TsengYC,etal.Ahighthroughputcontext2basedadaptivearithmeticcodecforJPEG200[A].IEEEIntSympCircuitsandSystems,Phoenix2Scottsdale,USA,2002.[3]ChenKF,LianCJ,ChenHH,etal.Analysisandarchitec2turedesignofEBCOTinJPEG2000[A].IEEEIntSympCircuitsandSystems,Sydney,Australia,2001.[4]ISO/IECJTC12SC292WG1N1646R,JPEG2000,part1:Fi2nalcommitteedraftversion1.0[S].()20036,(717),(722),,,(726),(730),,(734)InISARISAR,,,(739),(744),(748)FPGA,,(752),,,(756)MBPE,,(761)SAR,,(766)4H2SiC,,(771)AOA,,(775),,(780),,(784)RSA,,(788),,,(792),,,(798),,(802)VOD,(806),,(810)65338©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.