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1、IEEETRANSACTIONSONPOWERDELIVERY,VOL.21,NO.3,JULY20061493AnAnalyticalApproachforStochasticAssessmentofBalancedandUnbalancedVoltageSagsinLargeSystemsElisaEspinosaJuárezandAraceliHernándezAbstract—Inthispaper,voltagesagsproducedbybalancedandforthesiteofinterest,basedonthen
2、etworkmodelandtheunbalancedshortcircuitsareanalyzedbymeansofanewanalyt-historicalfaultstatisticsdata.Severalstochasticpredictionicalmethod.Themainfeatureofthisapproachisthatcontrarytomethodshavebeenproposed.thefaultpositionsmethod,itdoesnotrequireapreassignationofdiscre
3、tefaultpositionsalongthelines.ThedevelopedalgorithmThefaultpositionsmethod[1],[4]isabroadlyusedtech-hasbeenappliedtothe24-busesIEEEReliabilityTestSystemniqueforstochasticpredictionofvoltagesags.Thismethodis(RTS)andtoarealtransmissionsystemtoillustrateitsapplica-basedonc
4、onsideringanumberoffaultpositionsspreadthroughtion.Resultsareanalyzedandcomparedwiththefaultpositionsthepowersystem.Eachfaultpositionrepresentsfaultsinacer-method.Themathematicalformulationoftheproposedapproachisstraightforwardanddifferentfaultdistributionsalongthelines
5、tainpartofthenetwork.Anexpectednumberofoccurrencespercanbeeffortlesslyconsidered.Theproposedmethodisadequateyear(failurerate)isallocatedtoeachfaultposition.Withthis,fortheanalysisofanysizenetworks.theexpectednumberofsagsduetothefaultscanbestraightfor-IndexTerms—Powerqua
6、lity,powersystem,probabilisticpowerwardlycalculated.systemmethods,stochastictechniques,voltagesags(dips).Althoughthismethodconstitutesausefultoolforvoltagesagevaluation,astudyhasnotbeendoneaboutthein?uenceofthenumberandlocationoftheprede?nedfaultspositionsontheI.INTRODU
7、CTIONaccuracyofthesolutionobtained.UEtotheincreasinguseofsensitiveequipment,voltageAnalyticalapproaches,contrarytothefaultpositionsDsagshavebecomeinrecentyears,oneofthecentralmethod,donotrequiretheassignationoffaultpositions.Inpower-quality(PQ)concernsfacedbyutilitiesan
8、dcustomers.thesemethods,resultsarebasedonthesolutionofanalyticalMuchequipmentusedinmodernindustrialprocessauto