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Mehdi Rahmani-Andebili Planning and Operation of Plug-In Electric Vehicles Technical, Geographical, and Social Aspects Planning and Operation of Plug-In Electric Vehicles Mehdi Rahmani-Andebili Planning and Operation of Plug-In Electric Vehicles Technical, Geographical, and Social Aspects MehdiRahmani-Andebili DepartmentofPhysicsandAstronomy UniversityofAlabamainHuntsville Huntsville,AL,USA ISBN978-3-030-18021-8 ISBN978-3-030-18022-5 (eBook) https://doi.org/10.1007/978-3-030-18022-5 ©SpringerNatureSwitzerlandAG2019 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartofthe materialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors, and the editorsare safeto assume that the adviceand informationin this bookarebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface Thisbookdiscussesthestudyoperationsandplanningproblemsofplug-inelectric vehicles(PEV)whileconsideringthesocialandgeographicalaspectsofchallenges, andtheirtechnicalcharacteristics. A significant portion of energy consumption and greenhouse gas emissions are attributedtothetransportationsector.Transportationelectrificationisseenasoneof thesolutionstotheabovementionedchallengestomitigatethegeopoliticalconcerns about the availability offossil fuels andglobal warming. Due tothe economicand environmental benefitsof electric vehiclesand PEVs, they are gaining more popu- larityintheauto-market,sincetheycanbechargedbytherenewableenergysources asthecleanandfreesourcesofenergy. Governments worldwide are implementing financial incentives to accelerate the transition from the internal combustion engine vehicles to the electric ones to achieve their own energy security and climate change mitigation goals. On the other hand, as the battery prices decrease, the unsubsidized electric vehicles are madeasaffordableastheirgasolinecounterparts. Anumberofresearchorganizationspredictthattheelectricvehicles’(including PEVs) sales will surpass the gasoline and diesel vehicles’ sales in the near future. Therefore, the PEVs’ drivers, as the new electricity customers, will consume a considerable portion of electricity in the future. Although a single PEV does not have a remarkable effect on the electric power system, the uncontrolled charging/ dischargingpatternofalargenumberofPEVshasapotentialtonegativelyaffectthe powersystem’sperformanceandputitatarisk.Inotherwords,theuncoordinated charging/dischargingofPEVsmaycauseseveralseriousissuesfordifferentpartsof powersystemsuchascausinganoverloadinginthegenerationsystem,acongestion inthetransmissionanddistributionlines,andspikesintheelectricitymarketprices. Therefore,thefleetmanagementofPEVsinapowersystemisunavoidableandeven desirable. ThePEVsaretypicallyidlechargingforlongperiodsoftimeandthereforealarge sizeofelectricpowerandcapacitywillbeavailabletothosevehicles.Inthisregard, thepowersystemoperatorsandPEVaggregatorscanplayakeyroletomitigatethe v vi Preface abovementionedchallengesandissues,sincetheycanmotivatethePEVdrivers,by offeringavarietyofincentivestothem,toletthemmanagetheirvehicles’charging timeconsideringtherequestedexpectationofdriverstohaveadesirablechargelevel atthedeparturetime.Byimplementingthisplan,theoperatorsandaggregatorscan take part in different activities in the power markets and provide the benefits for themselves,fortheelectricpowersystem,andevenforthePEVowners. In order to model the social characteristics of drivers from the sociology and economic points of view, the drivers are stratified in three different social classes based on their income level including low-income, moderate-income, and high- income. This type of classification is necessary to be considered in the modelling ofdrivers’interactionwiththepowersystemoperatorsandPEVaggregators,since thedrivers,belongingtodifferentsocialclasses,dissimilarlyreactwithrespecttothe value of incentive. In other words, this social classification helps determine the responsiveness degree of drivers about the cooperation request received from an agentinthesmartgrid.Generally,thelow-incomeandhigh-incomedriversaremore andlesslikelytobeinterestedintheproposedincentive,respectively.Thisassump- tionisappliedtomodelthesocialaspectofproblemsstudiedinthebook. Furthermore,inordertomodelthegeographicalfeaturesofproblems,thedriving routesandthehourlydistanceofPEVsfromthechargingstationsorparkinglotsare modelled.Thiskindofmodellingisobligatory,sincetheresponsivenessprobability of drivers (even belonging to the same social class) with respect to the value of incentivewillnotbeequaliftheyhavedifferentdistancesfromachargingstation. The technical specifications of PEVs that have been considered in the book chapters include the hourly state of charge of a PEV, the depth of discharge limit definedforaPEV,thevariousPEVtypeswithdifferentratedpowersandcapacities, theefficiencyofaPEV’sbattery,thecapabilityofaPEVforthevehicle-to-gridand grid-to-vehicleservicesprovision,thePEV’sbatterydegradation,thePEVparking lotpowerandcapacity,andtheyearlymaintenanceofPEVparkinglot. Twotypesofproblemincludingtheplanningandoperationproblemsarestudied in the book. The first five chapters are concerned with the operation problems; however, the sixth chapter covers the planning problem, and a data analysis tech- nique is presented in the seventh chapter. In this book, the operation problems are studiedinthelevelofbothelectricalgenerationanddistributionsystems,whilethe planningproblemisconcernedwiththeelectricaldistributionsystem. Thoseproblemsthatdealwiththeelectricalgenerationsystem(Chaps.1,2,and 3)considerthetechnicalandsocialaspectsofproblemandignorethegeographical aspect, since the location of vehicle-to-grid and grid-to-vehicle services provision does not matter for a generation company. However, the problems related to the electricaldistributionsystem(Chaps.4,5,and6)takeintoaccountthegeographical characteristics of area, in addition to the technical specifications of PEVs and the socialaspectofdrivers. Theproblemsthatdealwiththegenerationsystemarestudiedfromageneration company’spointofviewandinvestigatetheeffectsofoptimalfleetmanagementof PEVsontherealpowermarkets’demands,unitcommitmentproblem,andspinning reserve capacity provision problem. Moreover, the problems concerning with the Preface vii electrical distribution system are investigated from a distribution company’s view- point and cover the robust operation of distribution system, optimal operation of a PEV parking lot in the energy market, and optimal placement and sizing of PEV parkinglotsbyoptimalfleetmanagementofPEVs. In the preparation of book chapters, it has been tried to apply a variety of optimization techniques including genetic algorithm, improved genetic algorithm, mixed-integer linear programming, and simulated annealing. In addition, Chaps. 6 and 7, which take into account the geographical aspect of problem, apply the real drivingroutesandtherealgeographyofarea(i.e.,latitudeandlongitudedata)ofSan Francisco, CA, USA. Moreover, Chaps. 4 and 5, which include the geographical aspectofproblem,considertherealgeographyofareas(i.e.,latitudeandlongitude data) of Tehran, Iran (around Sharif University of Technology), and Marina City VerticalParkingLot,Chicago,IL60654,USA,respectively.However,thedriving routes have been designed by a computer considering the related minimum and maximumtrafficspeedlimits. In each chapter, a variety of sensitivity analyses study the effects of input parameters on the output parameters. The input parameters include the social class of drivers (low-income, moderate-income, and high-income), the PEV penetration level (low, moderate, and high), the PEV type (Tesla Model S, Citroën C-Zero, Volkswagen e-Up, and Renault Kangoo Z.E.), the feeder’s failure rate model, and the voltage-dependent load model (a combination of residential, commercial, and industrialloads).Inaddition,theoutputparametersincludethemaximumloadfactor of system, the optimal generation scheduling and commitment of generation units, theoptimalstatusoffeeders’switches(openandclose),theoptimalmodeofenergy storagesystems(charging,discharging,andidle),themaximumprofitofparkinglot, the optimal location and size of parking lots, the optimal value of incentive, the minimum total cost of planning problem, the optimal value of energy loss and reliability indices of system, the optimal voltage profile of buses, and the optimal powerflowoffeeder’sbranches. The students and scholars are welcome to send their comments to the author of the book if they find any misprint or any other possible mistakes in the book chapters.Theirnameandcontributionwillbementionedinthenextversionofbook. Huntsville,AL,USA MehdiRahmani-Andebili Contents 1 StudyingtheEffectsofPlug-InElectricVehicles ontheRealPowerMarketsDemandConsidering theTechnicalandSocialAspects. . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 ModellingtheSocialandTechnicalAspectsofProblem. . . . . . . 4 1.2.1 SocialStratificationofDrivers. . . . . . . . . . . . . . . . . . . . 4 1.2.2 TechnicalAspect. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 SimulationResults. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3.1 BaseCase. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3.2 SensitivityAnalysiswithRespecttoValue ofIncentive. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.3.3 SensitivityAnalysiswithRespecttoSocial ClassofDrivers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1.4 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 2 StudyingtheEffectsofOptimalFleetManagementofPlug-In ElectricVehiclesontheUnitCommitmentProblem ConsideringtheTechnicalandSocialAspects. . . . . . . . . . . . . . . . . . 23 2.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.2 ModellingtheSocialandTechnicalAspectsofProblem. . . . . . . 26 2.2.1 SocialClassificationofDrivers. . . . . . . . . . . . . . . . . . . . 26 2.2.2 TechnicalAspect. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 2.3 OptimizationTechnique. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.4 ProblemFormulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.4.1 ObjectiveFunctionofProblem. . . . . . . . . . . . . . . . . . . . 30 2.4.2 CostTermsofProblem. . . . . . . . . . . . . . . . . . . . . . . . . 31 2.4.3 ConstraintsofProblem. . . . . . . . . . . . . . . . . . . . . . . . . . 32 ix x Contents 2.5 SimulationResults. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.5.1 BaseCase. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.5.2 SensitivityAnalysisforOperationCost. . . . . . . . . . . . . . 38 2.5.3 EffectsofUnrealisticModellingofDrivers’ SocialClass. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 2.6 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3 SpinningReserveCapacityProvisionbytheOptimal FleetManagementofPlug-InElectricVehiclesConsidering theTechnicalandSocialAspects. . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 3.2 ModellingtheSocialandTechnicalAspectsofProblem. . . . . . . 51 3.2.1 SocialClassificationofDrivers. . . . . . . . . . . . . . . . . . . . 51 3.2.2 TechnicalAspect. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.3 OptimizationTechnique. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 3.4 ProblemFormulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.4.1 ObjectiveFunctionofProblem. . . . . . . . . . . . . . . . . . . . 55 3.4.2 CostTermsofProblem. . . . . . . . . . . . . . . . . . . . . . . . . 56 3.4.3 ConstraintsofProblem. . . . . . . . . . . . . . . . . . . . . . . . . . 58 3.5 SimulationResults. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 3.5.1 BaseCase. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 3.5.2 SensitivityAnalysisforTotalCostofProblem. . . . . . . . . 67 3.5.3 EffectsofUnrealisticModellingofDrivers’ SocialClass. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 3.6 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 4 RobustOperationofaReconfigurableElectricalDistribution SystembyOptimalChargingManagementofPlug-In ElectricVehiclesConsideringtheTechnical,Social, andGeographicalAspects. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 4.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 4.2 ProposedApproach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 4.2.1 ModellingtheGeographical,Social,andTechnical AspectsofProblem. . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 4.2.2 StochasticModelPredictiveControl. . . . . . . . . . . . . . . . 82 4.2.3 OptimizationTechnique. . . . . . . . . . . . . . . . . . . . . . . . . 86 4.3 ProblemFormulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.3.1 ObjectiveFunction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.3.2 CostTerms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 4.3.3 Constraints. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 4.4 ProblemSimulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 4.4.1 CharacteristicsofSystemandProblem. . . . . . . . . . . . . . 92 4.4.2 SimulatingtheProbleminDifferentScenarios. . . . . . . . . 93 Contents xi 4.5 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 5 OptimalOperationofaPlug-InElectricVehicleParkingLot intheEnergyMarketConsideringtheTechnical,Social, andGeographicalAspects. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 5.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 5.2 ModellingtheGeographical,Social,andTechnicalAspects ofProblem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 5.2.1 Drivers’BehavioralModels. . . . . . . . . . . . . . . . . . . . . . 107 5.2.2 DrivingRoutes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 5.2.3 StateofChargeofPEVs. . . . . . . . . . . . . . . . . . . . . . . . . 111 5.2.4 ArrivalandDepartureTimeofPEVs. . . . . . . . . . . . . . . . 112 5.2.5 EquippingtheParkingLotwithRenewables. . . . . . . . . . 115 5.3 ProblemFormulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 5.3.1 ObjectiveFunction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 5.3.2 EqualityConstraints. . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 5.3.3 InequalityConstraints. . . . . . . . . . . . . . . . . . . . . . . . . . 121 5.3.4 LowerandUpperBoundsofVariables. . . . . . . . . . . . . . 122 5.4 MixedIntegerLinearProgramingastheOptimization Technique. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 5.5 ProblemSimulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 5.5.1 PrimaryDataofProblem. . . . . . . . . . . . . . . . . . . . . . . . 124 5.5.2 StudyingtheProblemwithTeslaModelS. . . . . . . . . . . . 127 5.5.3 StudyingtheOtherPEVTypes. . . . . . . . . . . . . . . . . . . . 139 5.6 Conclusion. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 6 OptimalPlacementandSizingofParkingLotsforthePlug-In ElectricVehiclesConsideringtheTechnical,Social, andGeographicalAspects. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 6.1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 6.2 ModellingtheGeographicalandSocialAspectsofProblem. . . . . 153 6.2.1 ModellingDrivers’Behavior. . . . . . . . . . . . . . . . . . . . . 153 6.2.2 DrivingRoutesinSanFrancisco. . . . . . . . . . . . . . . . . . . 156 6.3 ModellingVoltage-DependentLoad. . . . . . . . . . . . . . . . . . . . . . 158 6.4 ModellingFeeder’sFailureRate. . . . . . . . . . . . . . . . . . . . . . . . 160 6.5 ProblemFormulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 6.5.1 ObjectiveFunction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 6.5.2 CostTerms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166 6.5.3 ProblemConstraints. . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 6.6 OptimizationTechnique. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 6.7 ProblemSimulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172 6.7.1 TechnicalSpecificationsofSystemandProblem. . . . . . . 172 6.7.2 StudyingthePrimaryConditionofSystem. . . . . . . . . . . 179

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