电力市场的经济运行及其数学方法（英文版）

图书标准信息

• 作者 童小娇、杨洪明 编
• 出版社 科学出版社
• 出版时间 2011-12
• ISBN 9787030328557
• 定价 58.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 229页
• 正文语种 英语

【内容简介】

Thismonographcoverstwocross-disciplinaryfieldsrelatingtooperationalresearchandmanagementaswellaselectricalengineering.Itdiscussesthekeyscientificissuesofsecureandeconomicoperationinthenewenvironmentofpowersystem.Theoretically，basedonmathematicalsemi-smoothfunctions，non-linearcomplementaryfunctionsandconditionalvalueatrisk（CVaR），aseriesofnewcomplicatedmathematicalmodelsareestablishedontheavailabilityoftransmissioncapacity，optimalpowerflow，riskmanagement，dynamicequilibrium，andsoon.Moreover，theefficientsemi-smoothandsmoothingNewton-typealgorithmswithgoodconvergencepropertiesarepresented，andtherelevantissuesofNashequilibriumandchaoscontrolintheelectricitymarketarealsostudied.Theresearchresultscanbeusedtosolvetheeconomicandtechnicalproblemsofelectricityindustryinthemarket-orientedoperatingenvironment.
Readerscangettoknowthemathematicaldescriptionsandcalculationmethodsaswellassomenewproblem-drivenmathematicalmodelsonthesecureandeconomicoperationofpowersystemthroughthebook.Meanwhiletheycanconsiderapplyingthesenewtheoriesandmethodstosolveoptimaldecision-makingproblemsinothereconomicandengineeringaspects.Integratingtheirrespectiveacademicbackgroundsofmathematicsandengineeringdisciplines，thetwoauthorsofthebooknotonlysharethejoyandinterestofscientificresearch，butalsobuildtheirprofoundfriendshipduringmorethantenyearsofcooperation.

【目录】

Foreword
Preface
ListofNotation
Chapter1ElectricityMarketsandPreliminariesofMathematics
1.1ElectricityMarket
1.1.1Deregulationandreformationofpowerindustry
1.1.2Competitivestructureofelectricitymarket
1.1.3Concernedissuesinelectricitymarket
1.2ConditionalValue-at-Risk（CVaR）
1.2.1CVaRconcept
1.2.2CVaRcalculation
1.3SemismoothFunctionandNonlinearComplementarityProblem
1.3.1ClarkegeneralizedJacobian
1.3.2Semismoothfunction
1.3.3Nonlinearcomplementarityproblem（NCP）
1.3.4Areformulatedsystemofequationsforgeneralnonlinearoptimization
1.4SemismoothNewtonMethodforNonsmoothEquations
1.4.1LocalsemismoothNewtonmethod
1.4.2GlobalsemismoothNewtonmethod
1.5SmoothingNewtonMethodforNonsmoothEquations
1.5.1Smoothingtechnology
1.5.2SmoothingNewtonmethod
1.6NotesandComments

Chapter2AvailableTransferCapabilityonMarketEnvironment
2.1AvailablerlyansferCapability（ATC）
2.2SemismoothNewtonMethodforATCCalculation
2.2.1NewATCmodel
2.2.2SmoothingNewtonmethod
2.2.3SmoothingdecoupledNewtonalgorithm
2.3Contract-BasedATCRegion（ATCR）
2.3.1ATCRmodelwithsingle-contract
2.3.2ATCRmodelwithmulti-contracts
2.3.3QuadraticapproximationforATCRboundary
2.3.4ApproachandvisualizationofATCR
2.4NumericalExamples
2.4.1ExamplesforATCcalculation
2.4.2ExamplesforATCRcalculation
2.5NotesandComments

Chapter3OptimalPowerFlowBasedonNewton-typeMethods
3.1OptimalPowerFlow（OPF）
3.2DecoupledOptimalPowerFlowApproach
3.2.1ReformationsofKKTsystems
3.2.2ConvergentanalysisfordecoupledOPF
3.3SemismoothNewtonMethodforSolvingOPF
3.3.1Reformulatedsystemofequations
3.3.2SemismoothNewtonmethods
3.3.3DecoupledsemismoothNewtonmethod
3.4SolutionMethodforOPFwithTransientStabilityConstraints
3.4.1OTSmodel
3,4.2AnSIPreformulationofOTSmodel
3.4.3Smoothingquasi-Newtonalgorithm
3.4.4Iterativealgorithmwithactive-setstrategy
3.5NumericalExamples
3.5.1OPFexamples
3.5.2OTSexamples
3.6NotesandComments

Chapter4EconomicOperationofElectricityMarketUnderCVaRManagement
4.1PortfolioOptimizationBasedonCVaR
4.1.1Typicalportfoliooptimizationmodels
4.1.2SmoothingSQPalgorithm
4.1.3Globalconvergence
4.2Worst-caseCVaR（WCVaR）BasedScenarioPlanninginElectricityMarkets
4.2.1WCVaRconceptandsomedistributionsofpartialmessage
4.2.2RobustportfoliooptimizationmodelswithWCVaR
4.2.3ExamplesforrobustmodelswithWCVaR
4.2.4Allocationofgenerationasset
4.3a-SuperquantileRisk-BasedSecurity-ConstrainedEconomicOperation
4.3.1Mathematicaldescriptionofsecurityunderuncertainenvironment
4.3.2a-superquantile-basedsecurityconstraintofsystemoperation
……
Chapter5DynamicEquilibriumAnalysisofElectricityMarket
Chapter6ChaosControlofElectricityMarket
Bibliography