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1、TheOpenElectricalandElectronicEngineeringJournal,2007,1,1-81AnalysisandCharacterizationofPowerSystemNonlinearOscillationsUs-ingHilbertSpectralAnalysis*,1112A.R.Messina,M.A.Andrade,J.H.HernándezandR.Betancourt1GraduatePrograminElectricalEngineering,Cinve
2、stav,Mexico2FacultyofElectromechanicalEngineering,UniversidaddeColima,MexicoAbstract:Inthiscontribution,asystematicapproachtoanalyzeandcharacterizethetemporalevolutionofnonlinear,time-varyingprocessesinpowersystemsisdeveloped.ThemethodcombinestheHilbert
3、-Huangtransformandconceptsfromvibratingsystemstheoryandcanbeusedtoapproximatethedynamicbehaviorofquasi-stationaryoscillations.Us-ingthenotionofempiricalmodedecomposition,datafromtransientstabilitysimulationsistransformedintoaseriesofmono-componentsignal
4、s.Anewanalyticalframeworkforcharacterizingandmodelingthenonlineartemporalevolutionoftheoscillationsispresentedandtechniquesforidentifyingthemodalcontentofthemostdominantmotioncomponentsaredeveloped.Analyticalexpressionsarethenobtainedthatprovideapproxim
5、atesolutionstotheinstantaneousfrequencyandamplitudeoftheoscillation,andaphysicalinterpretationofthemodelisprovided.Theefficiencyofthistechniqueforcapturingthetemporalevolutionofthemodalcontentofdatafromtransientstabilitysimulationsisassessed.Resultsdete
6、rminedfromthelow-ordermodelsarefoundtobeinqualitativeagreementwithdetailedsystemsimulations.INTRODUCTIONablepromisefortheanalysisoftemporalbehaviorofcriticalsystemmodes.Theanalysisandcharacterizationofnonlinear,non-stationaryinter-areaoscillationshasatt
7、ractedsignificantAnovelapplicationoftheHilbertHuangmethodwasattentioninrecentyears.TransientoscillationsmayresultrecentlyreportedbyMessinaetal.[4]whoappliedthetech-fromthelossofmajortransmissionandgenerationresourcesniquetocharacterizeinter-areaoscillat
8、ionsfrommeasuredandbecomplicatedbycontrolactions,switchingeventsanddata.Thisapproachiscapableofexplainingthenonlinearchangesinsystemtopologyandoperatingconditions[1-3].natureoftheobservedoscillationsandpermitstrackingtheExperienc
