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1、IOPPUBLISHINGSUPERCONDUCTORSCIENCEANDTECHNOLOGYSupercond.Sci.Technol.26(2013)105001(13pp)doi:10.1088/0953-2048/26/10/105001Thermo-electromagneticpropertiesofamagneticallyshieldedsuperconductorstrip:theoreticalfoundationsandnumericalsimulationsGTMa1,2andHRauh
2、11InstitutfurMaterialwissenschaft,TechnischeUniversit¨atDarmstadt,64287Darmstadt,Germany¨2AppliedSuperconductivityLaboratory,StateKeyLaboratoryofTractionPower,SouthwestJiaotongUniversity,610031Chengdu,ChinaE-mail:hera@tgm.tu-darmstadt.deReceived11March2013,i
3、nfinalform14June2013Published20August2013Onlineatstacks.iop.org/SUST/26/105001AbstractNumericalsimulationsofthermo-electromagneticpropertiesofathintype-IIsuperconductorstripsurroundedbyopencavitysoft-magneticshieldsandexposedtoanoscillatingtransversemagneticfi
4、eldareperformedbyresortingtothequasistaticapproximationofavectorpotentialapproachinconjunctionwiththeclassicaldescriptionofconductionofheat.Theunderlyingdefinitionofthesuperconductingconstituentmakesuseofanextended‘smoothed’Beanmodelofthecriticalstate,whichin
5、cludesthefieldandtemperaturedependenceoftheinducedsupercurrentaswell.Thedelineationofthemagneticshieldsexploitsthereversible-paramagnetapproximationintheLangevinform,asappropriateformagnetizationswithnarrowZ-typeloops,andconsidersinducededdycurrentstoo.Thecoo
6、lantisenvisagedasactinglikeabaththatinstantlytakesawaysurplusheat.BasedontheJacobian-freeNewton–KrylovapproachandthebackwardEulerscheme,thenumericalanalysisathandistailoredtotheproblemofahighwidth=thicknessaspectratioofthesuperconductorstrip.Assigningreprese
7、ntativematerialscharacteristicsandconditionsoftheappliedmagneticfield,themainfindingsforapracticallyrelevantmagnetconfigurationinclude:(i)anoverallriseofthemaximumtemperatureofthesuperconductorstriptendingtosaturationinasuperconductingthermo-electromagneticstea
8、dystateabovetheoperatingtemperature,magneticshieldinglendingincreasedstabilityandsmoothingthetemperatureprofilealongthewidthofthesuperconductorstrip;(ii)awashingoutoftheprofileofthemagneticinducti
