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区间变时滞广域电力系统稳定性分析与控制器设计 Title:StabilityAnalysisandControllerDesignforTime-DelayedWide-AreaPowerSystemswithIntervalVariations Introduction: Wide-areapowersystemsplayacrucialroleinmaintainingthestabilityandreliabilityofelectricalpowergrids.However,thesesystemsaresubjecttovariousuncertaintiesanddisturbancesthatcansignificantlyaffecttheirstability.Timedelayscausedbycommunicationandmeasurementprocessesfurthercomplicatethestabilityanalysisandcontrollerdesignforthesesystems.Thispaperaimstoexplorethestabilityanalysisandcontrollerdesignfortime-delayedwide-areapowersystemswithintervalvariations. StabilityAnalysis: Thestabilityofpowersystemsreferstotheabilitytomaintainoperationalequilibriuminthefaceofdisturbances.Stabilityanalysisisacriticalstepinunderstandingthesystem'sdynamicbehavioranddesigningrobustcontrolstrategies.Inthecontextofwide-areapowersystems,timedelayscanleadtodestabilizingeffects,includingreduceddampingandpotentialoscillations.Thispaperfocusesonstabilityanalysisconsideringintervalvariationscausedbyuncertaintiesinsystemparameters,disturbances,andnetworktopologychanges. Time-DelayModeling: Toanalyzethestabilitypropertiesoftime-delayedwide-areapowersystems,anappropriatemathematicalmodelisrequired.Thispaperutilizesastate-spacerepresentationtodescribethedynamicsofthesystem,takingintoaccountbothstatesandtimedelays.Themodelconsiderstheinterconnectionsbetweendifferentareasandcapturestheinput-outputbehaviorofthesystem.Byincorporatingintervalvariations,theuncertaintieswithinthesystemcanbeeffectivelyaddressed. StabilityCriteria: Variousstabilitycriteriahavebeendevelopedfortime-delayedsystems,suchastheLyapunov-Krasovskiifunctionalapproachandthedelay-distribution-dependentapproach.Thispaperdiscussestheapplicationofthesecriteriatowide-areapowersystemsandproposesmethodstoassessstabilityinthepresenceofintervalvariations.Byformulatingappropriatestabilityconditions,itbecomespossibletodeterminethestabilityregionofthesystemandidentifycriticalparametersthatcanpotentiallyleadtoinstabi