PTI - Generic_Model_Parameterization_rev1

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1、Answersforenergy.NewPrototypePSSEToolToParameterizeGenericModelsUsingAvailableBenchmarksYuriyKazachkov,BoGong,SiemensPTIUWIG/EnerNex/DOEWorkshopMISO,St.Paul,MNAugust16-17,2011©2011SiemensEnergy,Inc.Allrightsreserved.ApproachTheobjectiveofthisstudyisparameterizationor“mapping”parameter

2、sofgenericmodelstomatchtheresponseofavendorspecificmodelofthesametype.Thevendorspecificmodelsarerecognizedasbenchmarkmodels.Allofthemhavebeendevelopedinclosecooperationwithmanufacturersandmostofthesemodelswerevalidatedagainstsomebenchmarkssuggestedbymanufacturers,likemoredetailedmodel

3、stheyhadavailable.Trajectorysensitivityhasbeendemonstratedasausefultoolfordynamictrajectoryprediction[1]andstabilitycontroldesigns[2]inthepastyears.Basedontrajectorysensitivityanalysis,wehavedevelopedamethodologythatallowsustoautomaticallyfindasetofgenericmodelparametersthatprovidesf

4、orthebestmatchwiththebenchmark.[1]Hiskens,I.A.;Pai,M.A.;,"Trajectorysensitivityanalysisofhybridsystems,"CircuitsandSystemsI:FundamentalTheoryandApplications,IEEETransactionson,vol.47,no.2,pp.204-220,Feb2000.[2]Hiskens,I.A.;Gong,B.;,"MPC-BasedLoadSheddingforVoltageStabilityEnhancement,"

5、DecisionandControl,2005and2005EuropeanControlConference.CDC-ECC'05.44thIEEEConferenceon,vol.,no.,pp.4463-4468,12-15Dec.2005©2011SiemensEnergy,Inc.AllrightsreservedPage2SiemensPowerTechnologiesInternationalMethodologyThemethodtreatsmodelparametersasdecisionvariablesforanoptimizationpro

6、blem.Modelparametersareadjustediterativelyuntilanoptimalsolutionisreached.TheobjectivefunctionofthisoptimizationproblemisthedifferencebetweensimulatedtrajectoriesofmodelAandmodelB.Suchadifferencecanbemathematicallydescribedbyafunction1norm(linearform)Ty(t)y(t)dtgenericbench0ora2norm

7、(quadraticform).Ineachiteration,asetofparameterincrementaliscomputedtominimizethedifferencebetweenmodelA’strajectoriesandthepredictedmodelB’strajectoriesaftertheparameterchange.Thepredictioniscomputedbasedontrajectorysensitivity.Availableknowledgeoftheparameters(suchastheranges)is