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1、PowerGridCorrectionUsingSensitivityAnalysisbyMericAydonatAthesissubmittedinconformitywiththerequirementsforthedegreeofMasterofAppliedScienceGraduateDepartmentofElectricalandComputerEngineeringUniversityofTorontocCopyrightbyMericAydonat2010PowerGridCorrectionUsingSensitivityAnalysisMeri
2、cAydonatMasterofAppliedScience,2010GraduateDepartmentofElectricalandComputerEngineeringUniversityofTorontoAbstractPowergridvoltageintegrityveri cationrequirescheckingifallthevoltagedropsonthegridarelessthanacertainthresholdthatguaranteespropercircuitoperation.Thisthesisaddressestheprobl
3、emofcorrectingthegridwhensomevoltagedropsexceedthisthresholdbymakingminormodi cationstotheexistingdesign.Themethodusescurrentconstraintsthatcapturetheuncertaintyabouttheunderlyingcircuitbehaviorto ndthemaximumvoltagedroponthegrid,andthentoestimatethevoltagedropasafunctionofthemetalwidths
4、onthegrid.Itformulatesanon-linearoptimizationproblemand ndstherequiredchangeinwidthsthatreducesthemaximumvoltagedroponthegridbelowthethresholdwhilekeepingthetotalareacostataminimum.iiAcknowledgmentsFirstandforemost,Iwouldliketoo ermysincerestgratitudetomysupervisor,Prof.FaridN.Najm,whoha
5、sguidedmethroughoutmythesis.Hisknowledgeandpointofviewhavealwaysshowedtherightdirectiontotake,andhisfriendlyadviceshavehelpedmetoenjoygrad-life.IwouldliketothankmyfellowgraduatestudentsAnkitGoyal,MehmetAvci,KhaledR.Heloue,andSariOnaissiwhosefriendshiphasmadethetimeIspentatUofTmorefunandw
6、hoseintelligencehashelpedmewiththeproblemsthatIcouldnotsolve.IwouldespeciallyliketothankNahiAbdulGhaniwhowasalwaystheretoanswerourquestionsnomatterhowsillytheywere.WomanGradsofComputerGroup,DanyaoWang,MyrtoPapadopoulou,MaryamSadooghi-Alvandi,IoanaBurcea,NatalieEnrightJergerandPamelaAlHad
7、dad,alsohaveanimportantroleonmakingmylifemorefuninthiscitythatIhadnothadanyfriendsbefore.Ourget-togethershavealwaysbeenabreathoffreshair.IcannotevenputintowordsmythankfulnesstowardsAliErs?oz.Knowingthathewillalwaysbemysidenomatterwhatandhisunderstandinghasgivenmethestreng
