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1、Transientdynamicsinelectricpowersystemwithdctransmission:FractalgrowthinstabilityboundaryYoshihikoSusukiandTakashiHikiharaDepartmentofElectricalEngineering,KyotoUniversity¨¥SubmissionofRevisedVersiontoIEEProceedings–Circuits,DevicesandSystems§¦ReferencePape
2、rNumber42626CorrespondingAuthorYoshihikoSusukiHikiharaLaboratory,DepartmentofElectricalEngineering,KyotoUniversityKatsura,Nishikyo-ku,Kyoto,615-8510,JAPANPhone:+81–75–383–2243Fax:+81–75–383–2238E-mail:susuki@dove.kuee.kyoto-u.ac.jp1AbstractThispaperisconcer
3、nedwithtransientdynamicsandstabilityofanelectricpowersystemwithdctransmission.Nowadaysdctransmissionsystemsarewidelyappliedtoconventionalelectricpowersystems.However,transientdynamicsofac/dcpowersystems,affectedbyactivepowerwhichflowsintodctransmissions,isnot
4、entirelyunderstood.Inthispaperanunsymmetricalswingequationsystemisderivedtoan-alyzethetransientdynamicsofanac/dcpowersystem.Theunsymmetryimpliesanunidirectionalcomponentofanexternalforcingwhichcorrespondstobothdcpowerandexcitingpowerswing.Thispaperdiscusses
5、astabilityboundaryanditsqualitativechangeintheunsymmetricalswingequationsystem.Theunderstandingofthesta-bilityboundaryplaysanimportantcluetograspthetransientdynamicsoftheac/dcpowersystem.Wenowrevealfractalstructuregrowthinthestabilityboundarycausedbythechan
6、geofdcpowerflow.Theexistenceoffractalboundaryimpliesthatthesystembehaviourbecomeschaoticandunpredictabledependingontheoperationofthedctransmission.21IntroductionNowadaysdctransmissionsystemsarewidelyappliedtoconventionalelectricpowersystems[1,2,3,4,5].Thedct
7、ransmissionshavemuchstrongeradvantages:theycanconnectdifferentacpowersystemsunderdesynchronizedoperationandachieverapidactivepowerflowcontrol.Inparticularpowerswingdampingcontrolisdiscussedbasedondcpowermodulation[4,5,6].However,transientdynamicofac/dcpowersy
8、stems,affectedbyactivepowerflowintodctransmissionsandexcitingpowerswing,isnotentirelyunderstood.Theunderstandingofthedynamicsismuchinevitableforoperationandcontroloffuturepowersupplynetworksincludingvari