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232Vol.23No.220066CHINESEJOURNALOFAPPLIEDMECHANICSJun.2006:100024939(2006)02202752053122(210016)1(710049)2:T,,22D,,,,;,:;;;:TM40312;TM15412+1:A1[122](1),XLPE,,,[3],[4][526][7-9],[10](Lornentz)()1,,[5,11-14],,,,3:(50277028),(04JK20):2004212213:2005211204:,,1967,,;:CAE1E2mail:wss.xjtu@163.com,,,,,,,,[15][5,11-13],[14],,2,2D[2],2,2,,,211,ik(t)ikRk+Lkdikdt=ui(t)(1):Zk=Rk+jLk,u1(t)u1(t)=U1msin(t+),i0,ik(t)=Ikmsin(t+-k)+[i0-Ikmsin(-k)]e-Rkt/Lk(2):Ikm=U1m/|Zk|,k=argtan(Lk/Rk)5ik5=0,5ik5t=0,tmm=arcsin(Z3kcosk)cos(tm+m-k)-e-Rktm/Lkcos(m-k)=0(3)212,J=J0,,B=Brr0+Bzk,F(t)=JdVB=Fz(t)k+Fr(t)r0(4):Fz(t)=J2RBrdSFz;Fr(t)=J2RBzdS,,iFr(i)(t)=6J(i)2RiBr(i)SiFz(i)(t)=6J(i)2RiBz(i)Si(5):Rii,Sii,Bi,J(i)213[6],(),[16],,,,,,,(ud)(udu)r=12[(1-2)2+(2-3)2+(3-1)2]sns=[](6)r,123,[]=011(Cu)=100MPa[4-6],123,(6)r214t=tm,,67223,tm,,,,,[17],,,u=0,1/2(2,k),FP,kFS,kFA,kFR,kf1f2Gk,2,,2215,,,,2[18],,Mu+Ku=F(7):MKFu,,(7)Mu+(M+M)u+Ku=F(8),Rayleigh38000kVA/35kV/1015kVª470mm,,,LV():UlN1=1015kV,UpN1=Uln1=1015kV,IlN1=8000/(3Uln1)=439189A,IpN1=Iln1/3=250197A120mm2,XLPE415mm3(),61()HV():UlN2=35kV,UpN2=UlN2/3=20121kV,IlN2=IpN2=8000/(3UlN2)=131197A70mm2,XLPE913mm7(),51()311(5),3,,;,,,Fr/Fz;,,tm,LVHV45,,,,LV,7722,:Fr12;Fz12Fr22;Fz223312(6),,,,r,maxP6,r,max[],Pcr,max=([]-C0)/C14,615MPaP17913MPa,7r,max,r,max=r,max(Ns)r,max=c0+c1Ns+c3N2sP=40MPa,C0=1712,C1=1181,C2=-01072,Ns,,313010T,[18]rr,max(t)8,:,r,max(t),22132216MPa;2216MPa2316MPa,,,(480s,16127466s,27466/480=57);,8r,max(t)41),,;,,,Fr/Fz;,87223,2),3),,4),,[1]ParHolmberg.ModelingtheTransientResponseofWind2ings,LaminatedSteelCoresandElectromagneticPowerDe2vicesbyMeansofLumpedCircuits[D].PhDdissertationInstHighVoltageRes,Uppsala:Uppsala,Univ,2000.[2].:[D].:,2003.[3].110kV[J].,1998,35(2):1-5.[4]KarsiK,KerenyiD,KissL.[M].,.:,1997.[5]CB.[M].,,..:,1983.[6],,.[M].:,1990.[7]TangYQ,QiaoJQ,XuZH.Numericalcalculationofshortcircuitelectromagneticforcesonthetransformerwinding[J].IEEETrans.onMag,1990,26(2):103921041.[8]TangRY,LiY,LiDK,etal.Numericalcalculationof3Dtransienteddycurrentfieldandshortcircuitelectromagneticforceinlargetransformers[J].IEEETransonMag,1992,28(2):141821421.[9]AntoniosGK,MichaelPP.Leakagefluxandforcecalculationonpowertransformerwindingsundershort2circuit:2Dand3Dmodelsbasedonthetheoryofimagesandthefiniteele2mentmethodcomparedtomeasurements[J].IEEETransonMag,1994,30(5):348723490.[10].[M].:,1998.[11].SFSZ8231500/110[J].,1997,34(10):33237.[12].[J].,1997,34(10):18222.[13],.[J].,1997,34(10):28232.[14],,,.[J].,2000,37(12):125.[15],,.[M].:,1992.[16].[M].:,1992.[17],.[M].:,1981.[18],.[M].:,2000.9722,:flowfieldisevaluatedwithNASA67.Navier2Stokesequations,Baldwin2Lomaxalgebraicturbulencemod2el,finitevolumemethodandRunge2Kuttatimesteppingschemesareusedforanalyzingtheflowfieldofdiffusergrid,wheretheeffectofpneumaticheatonviscousmodulustistakenintoaccount.Theexten2siveresultsindicatethatcomparingthecalculationwithouttheeffectofpneumaticheat,theproposedeval2uationisclosertotheexperimentstosuitofengineeringapplications.Keywords:diffusergrid,flowfield,turbulent,viscousmodulus.CalculationtoShort2CircuitMechanicalStrengthforPowerformerWindingsWangShishan1JiShengchang2LiYanming2(NanjingUniversityofAeronauticsandAstronautics,Nanjing210016,China)1(XianJiaotongUniversity,Xi’an710049,China)2Abstract:Theinitialconditionsandthetimecorrespondingtomostseriousstatesofshort2circuitweredeterminedbasedontheT2modelofpowertransformer.Consideringtheconditionsasvoltageatprimarywind2ing,short2circuitforcesofwindingsandturnsfortransformerwerecalculatedwithFEMcouplingcircuitmethodunderthe2Dsymmetricalmodel.Focusingtheturnsubjectedtothemaximumaxialandradialforces,thestaticanddynamicfiniteelementmodelswerepresentedforthesingleturn,andthestressdis2tributionswerecalculatedunderstaticanddynamicstatesrespectively.Therelationshipsofequivalentstresswithprepressandspacernumberswerediscussed,andtheequivalentstressviatimewasinvestiga2tedcomparatively.Keyword:powerformer,short2circuitmagneticforce,finiteelementmethod,mechanicalstrength.KinematicModelsofFormationFlyingConstellationandConfigurationDesignZhangJuangHeXingsuoLiLiangDengFengyan(SchoolofMechanics,CivilEng.&Architecture,NorthwesternPolytechnicalUniversity,Xi’an710072,China)Abstract:Severalkinematicmodelsofformationflyingconstellationarededucedtoshowtherelativemo2tionbasedonthevariablesofargumentoflatitude,meananomaly,meanargumentoflatitudeandeccentricanomalyrespectively.ThesemodelsequivalenttoHill’sEquationsareadoptedtoproposeakinematicschemeforconfigurationdesignwhentherelativecomfigurationgetsroundorsub2satelliteround.Thecorrespondingalgorithmforevaluatingtheorbitnumberofthesatellitesintheconstellationissimultane2ouslyobtained.Keywords:formationflying,relativemotion,kinematicsmodels,configurationdesign.CHINESEJOURNALOFAPPLIEDMECHANICSVol.23