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1、IEEETRANSACTIONSONPOWERSYSTEMS,VOL.29,NO.2,MARCH2014899NonlinearKoopmanModesandPowerSystemStabilityAssessmentWithoutModelsYoshihikoSusuki,Member,IEEE,andIgorMezić,Member,IEEEAbstract—Thelossofstability—aninstability—canbecomerenewablesources,thefluctuatingpowersourcesleadtomoreacriticalcauseofemerge
2、ntcascadingoutagesleadingtoinstability.Manystudiesonthistopicshavebeenreported:wide-spreadblackouts.Penetrationofrenewableenergysourcessee,e.g.,[10].Inthefinalreportofthe2006SystemDistur-makestheproblemofinstabilitymoreurgentbecauseofthehighlybanceintheEuropeanGrid[11],itwassuggestedthatthefluctuatin
3、gnatureofsuchsources.Hereweshowadata-basedapproachtostabilityassessmentofpowersystemswithoutmodels.uncontrolledoperationofdistributedsources(mainlywindandThisapproachisenabledbyKoopmanmodeanalysisfornon-combined-heat-and-power)duringthedisturbancecomplicatedlineardynamicalsystems,whichdetectsaninst
4、abilitybasedontheprocessofre-establishingnormalsystemconditions.Thus,thepropertiesofthepointspectrumoftheKoopmanoperator.Wethepenetrationofrenewablesourcesmakesiturgenttodevelopapplythetechniquetodataonphysicalpowerflowssampledfrommethodsforinstabilitydetection.thetwomajoraccidents,the2011Arizona-So
5、uthernCaliforniagridoutageandthe2006systemdisturbanceoftheEuropeanManymethodsforstabilityassessmentofpowersystemsinterconnectedgrid,andsuccessfullydetectunstablepowerflowhavebeendeveloped[12]–[14].Traditionalmethodsaremainlypatternsthatgovernthecomplexdynamicsoccurringduringthemodel-based,thatis,the
6、stabilityassessmentisperformedbyaccidents.investigatingamathematicalmodelthatrepresentsthetargetIndexTerms—Cascadingoutage,Koopmanmode,powerdynamicsofapowersystem.Itiswidelyrecognizedthatcas-system,stabilityassessment.cadingoutagesarefairlycomplicatedemergentphenomenainthehigh-dimensionalnonlineard
7、ynamicalsystems.Therefore,itisdifficulttoobtainamathematicalmodelthatexplainsallI.INTRODUCTIONeventsandtimeevolutionofacascadingoutage.Evenifwecouldobtainsuchamodel,itwouldbenoteasytogainadynam-ASCADINGoutag
