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1、IEEETRANSACTIONSONAPPLIEDSUPERCONDUCTIVITY,VOL.23,NO.5,OCTOBER20133601609ConsiderationsontheFinite-ElementSimulationofHigh-TemperatureSuperconductorsforMagneticLevitationPurposesGuang-TongMaAbstractArobustandfastnumericalcourseforinvestigatingmagneticlevitation(m
2、aglev)performanceofhigh-temperaturethemagneticlevitation(maglev)performanceofhigh-temperaturesuperconductors(HTSs)subjectedtoanonuniformÞeld,suchsuperconductors(HTSs)isproposedandimplementedviafinite-asthatgeneratedbypermanent-magnet(PM)devices(see,elementmethods(
3、FEMs)inthispaper.Thisnumericalcoursee.g.,[1]Ð[8]),uponthewellunderstandingofthisself-stableusesthemagneticvectorpotentialasthestatevariabletoestab-lishthepartialdifferentialequations(PDEs)forgoverningthelevitationofHTSsachievedbypioneeringtheoreticalstudieselectr
4、omagneticpropertiesof2-DsimplifiedHTSs,asmoothed[9]Ð[13].BeanKimsmodelofacriticalstatetodescribethenonlinearThebasicknowledgeforusingdifferentPDEstodescribeconstitutivelawofHTSs,andtheadvancedalgorithmoftheelectromagneticpropertiesofHTSsformaglevpurposesJacobian-f
5、reeNewtonKrylov(JFNK)tohandlethenonlinearsys-hasbeenexpoundedinthepastyears,e.g.,thecurrentvectortemoftheFEMequation.Afterbeingtested,thishomemadeFEMmodelwasappliedtoinvestigatetheinfluenceofvariousFEMpotentialmethodin[1]Ð[3]andthecurrentdensitymethodinparameters,
6、e.g.,thedimensionofthecomputationaldomain,the[4]Ð[6],aswellasthemagneticÞeldintensitymethodin[7].prescribedtoleranceforconvergence,thecoarsenessofthemesh,Inaddition,avarietyofnumericalstrategies,includinghowtoandthetimestep,upontheprecisionoflevitation/guidancefo
7、rceinitiateandupdatethevectorsofsolutionandofthenonlinearonanHTSbulkwhilemovinginanonuniformfieldgeneratedbyparameterateachnumericaliteration[1]Ð[7],wasproposedandapermanent-magnettrack.Themostimportantfindingsthroughthesestudiesarethatthecoarsechoiceoftolerancecan
8、causetheexecutedtotreatthehighlynonlinearfeatureofHTSs.Someofnonphysicalphenomenasuchasthecrossingsintheforceloops,theseandrelatedstudieshavebeenjustrecentlysu