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1、SOMEOPTIMIZATIONPROBLEMSINPOWERSYSTEMRELIABILITYANALYSISADissertationbyPANIDAJIRUTITIJAROENSubmittedtotheOfficeofGraduateStudiesofTexasA&MUniversityinpartialfulfillmentoftherequirementsforthedegreeofDOCTOROFPHILOSOPHYAugust2007MajorSubject:ElectricalEngin
2、eeringSOMEOPTIMIZATIONPROBLEMSINPOWERSYSTEMRELIABILITYANALYSISADissertationbyPANIDAJIRUTITIJAROENSubmittedtotheOfficeofGraduateStudiesofTexasA&MUniversityinpartialfulfillmentoftherequirementsforthedegreeofDOCTOROFPHILOSOPHYApprovedby:ChairofCommittee,Chan
3、anSinghCommitteeMembers,PrasadEnjetiAndrewK.ChanSergiyButenkoHeadofDepartment,CostasN.GeorghiadesAugust2007MajorSubject:ElectricalEngineeringiiiABSTRACTSomeOptimizationProblemsinPowerSystemReliabilityAnalysis.(August2007)PanidaJirutitijaroen,B.Eng.,Chulal
4、ongkornUniversity,Bangkok,ThailandChairofAdvisoryCommittee:Dr.ChananSinghThisdissertationaimstoaddresstwooptimizationproblemsinvolvingpowersystemreliabiltyanalysis,namelymulti-areapowersystemadequacyplanningandtransformermaintenanceoptimization.Anewsimula
5、tionmethodforpowersystemreliabilityevaluationisproposed.Theproposedmethodprovidesreliabilityindexesanddistributionswhichcanbeusedforriskassessment.Severalsolutionmethodsfortheplanningproblemarealsoproposed.ThefirstmethodemployssensitivityanalysiswithMonte
6、Carlosimulation.Theprocedureissimpleyeteffectiveandcanbeusedasaguidelinetoquantifyeffectivenessofadditionalcapacity.Thesecondmethodappliesscenarioanalysiswithastate-spacedecompositionapproachcalledglobaldecomposition.Thealgorithmrequireslessmemoryusageand
7、convergeswithfewerstagesofdecomposition.Asystemreliabilityequationisderivedthatleadstothedevelopmentofthethirdmethodusingdynamicprogramming.Themaincontributionofthethirdmethodistheapproximationofreliabilityequation.Thefourthmethodisthestochasticprogrammin
8、gframework.Thismethodoffersmodelingflexibility.Theimplementationofthesolutiontechniquesispresentedanddiscussed.Finally,aprobabilisticmaintenancemodelofthetransformerisproposedwheremathematicalivequationsrelatingmain
