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1、IEEETRANSACTIONSONINDUSTRIALELECTRONICS,VOL.58,NO.6,JUNE20112547AnIterativeReal-TimeNonlinearElectromagneticTransientSolveronFPGAYuanChen,StudentMember,IEEE,andVenkataDinavahi,SeniorMember,IEEEAbstractAreal-timetransientsimulationofnonlinearele-actuallyaspecificl
2、inearelement,suchasaconstantinductance,mentsintransmissionnetworksrequiressignificantcomputationalseveralofwhichcanbeusedtorepresent,forexample,thepower.Thispaperproposesaniterativenonlineartransientsolversaturationcharacteristicofatransformer.However,thecompu-on
3、afield-programmablegatearray.Theparallelsolver,basedtationalbottleneckoccursastheoperatingpointswitchesfromonthecompensationmethodandtheNewtonRaphsonalgo-rithm(continuousandpiecewise),isentirelyimplementedinVeryonelinearsegmenttothenext,necessitatingarecalculatio
4、nofhighspeedintegratedcircuitHardwareDescriptionLanguage.thesystemadmittancematrix,whichresultsinasubstantiallyItalsoinvolvessparsitytechniques,deeplypipelinedarithmeticlongerruntimeforalargenetwork.Thefrequentswitchingfloating-pointprocessing,andparallelGaussJor
5、danelimination.betweenlinearsegmentsisalsoknowntocausenumericalTovalidatethenewsolver,twocasestudiesaresimulatedinrealoscillations.Foramoreaccuratesimulationofnonlinearele-time:surgearrestertransientsinaseries-compensatedlineandments,aniterativemethodbasedonNewt
6、on–Raphson(N–R)ferroresonancetransientsinatransformer,withtimestepsof5and3μs,respectively.Thecapturedreal-timeoscilloscoperesultscanbeused.Withineachsimulationtimestep,severalN–Rdemonstratehighaccuracyofthesimulatorincomparisontotheiterationsarerequiredforconver
7、gence,andeachiterationen-offlinesimulationoftheoriginalsystemintheATPversionoftailsarecalculationoftheJacobianmatrixandsolutionofaelectromagnetictransientprogram.setoflinearequations.Thisprocessisverytimeconsuming.IndexTermsElectromagnetictransientsimulation,field
8、-Inanofflinesimulator,thecomputationalburdencanperhapsprogrammablegatearrays(FPGAs),nonlinearnetworks,parallelbeoverlooked;however,itbecomesquitecumbersomeinaalgorithm
