HIGH-VOLTAGE DIRECT-CURRENT TRANSMISSION HIGH-VOLTAGE DIRECT-CURRENT TRANSMISSION CONVERTERS, SYSTEMS AND DC GRIDS Dragan Jovcic and Khaled Ahmed School of Engineering, University of Aberdeen, UK Thiseditionfirstpublished2015 ©2015JohnWiley&Sons,Ltd RegisteredOffice JohnWiley&Sons,Ltd,TheAtrium,SouthernGate,Chichester,WestSussex,PO198SQ,UnitedKingdom Fordetailsofourglobaleditorialoffices,forcustomerservicesandforinformationabouthowtoapplyforpermissionto reusethecopyrightmaterialinthisbookpleaseseeourwebsiteatwww.wiley.com. TherightoftheauthortobeidentifiedastheauthorofthisworkhasbeenassertedinaccordancewiththeCopyright, DesignsandPatentsAct1988. Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyany means,electronic,mechanical,photocopying,recordingorotherwise,exceptaspermittedbytheUKCopyright,Designsand PatentsAct1988,withoutthepriorpermissionofthepublisher. 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LibraryofCongressCataloging-in-PublicationData Jovcic,Dragan. High-voltagedirect-currenttransmission:converters,systemsandDCgrids/DraganJovcic,KhaledAhmed, SchoolofEngineering,UniversityofAberdeen,Scotland,UK. pages cm Includesbibliographicalreferencesandindex. ISBN978-1-118-84666-7(cloth) 1. Electricpowerdistribution–Directcurrent. 2. Electricpowerdistribution–Hightension. 3. Electriccurrentconverters. I. Ahmed,Khaled. II. Title. TK3111.J682015 621.31912–dc23 2015011296 AcataloguerecordforthisbookisavailablefromtheBritishLibrary. Setin9.5/11.5ptTimesbySPiGlobal,Pondicherry,India 1 2015 Contents Preface xi PartI HVDCwithCurrentSourceConverters 1 1 IntroductiontoLine-CommutatedHVDC 3 1.1 HVDCApplications 3 1.2 Line-CommutatedHVDCComponents 5 1.3 DCCablesandOverheadLines 6 1.4 LCCHVDCTopologies 7 1.5 LossesinLCCHVDCSystems 9 1.6 ConversionofACLinestoDC 10 1.7 Ultra-High VoltageHVDC 10 2 Thyristors 12 2.1 OperatingCharacteristics 12 2.2 SwitchingCharacteristic 13 2.3 LossesinHVDCThyristors 17 2.4 ValveStructureandThyristorSnubbers 20 2.5 ThyristorRatingSelectionandOverloadCapability 22 3 Six-PulseDiodeandThyristorConverter 23 3.1 Three-PhaseUncontrolledBridge 23 3.2 Three-PhaseThyristorRectifier 25 3.3 AnalysisofCommutationOverlapinaThyristorConverter 26 3.4 ActiveandReactivePowerinaThree-PhaseThyristorConverter 30 3.5 InverterOperation 31 4 HVDCRectifierStationModelling,ControlandSynchronization withACSystems 35 4.1 HVDCRectifierController 35 4.2 Phase-LockedLoop(PLL) 36 vi Contents 5 HVDCInverterStationModellingandControl 40 5.1 InverterController 40 5.2 CommutationFailure 42 6 HVDCSystemV-IDiagramsandOperatingModes 45 6.1 HVDC-EquivalentCircuit 45 6.2 HVDCV-IOperatingDiagram 45 6.3 HVDCPowerReversal 48 7 HVDCAnalyticalModellingandStability 53 7.1 IntroductiontoConvertersandHVDCModelling 53 7.2 HVDCAnalyticalModel 54 7.3 CIGREHVDCBenchmarkModel 56 7.4 ConverterModelling,LinearizationandGainScheduling 56 7.5 ACSystemModellingforHVDCStabilityStudies 58 7.6 LCCConverterTransformerModel 62 7.7 DCSystemModel 63 7.8 HVDC-HVACSystemModel 65 7.9 AnalyticalDynamicModelVerification 65 7.10 BasicHVDCDynamicAnalysis 66 7.11 HVDCSecondHarmonicInstability 70 7.12 Oscillationsof100HzontheDCSide 71 8 HVDCPhasorModellingandInteractionswithACSystem 72 8.1 ConverterandDCSystemPhasorModel 72 8.2 PhasorACSystemModelandInteractionwiththeDCSystem 73 8.3 InverterACVoltageandPowerProfileasDCCurrentisIncreasing 75 8.4 InfluenceofConverterExtinctionAngle 76 8.5 InfluenceofShuntReactivePowerCompensation 78 8.6 InfluenceofLoadattheConverterTerminals 78 8.7 InfluenceofOperatingMode(DCVoltageControlMode) 78 8.8 RectifierOperatingMode 80 9 HVDCOperationwithWeakACSystems 82 9.1 Introduction 82 9.2 Short-CircuitRatioandEquivalentShort-CircuitRatio 82 9.3 PowerTransferbetweenTwoACSystems 85 9.4 PhasorStudyofConverterInteractionswithWeakACSystems 89 9.5 SystemDynamics(SmallSignalStability)withLowSCR 90 9.6 HVDCControlandMainCircuitSolutionsforWeakACGrids 90 9.7 LCCHVDCwithSVC(StaticVARCompensator) 91 9.8 Capacitor-CommutatedConvertersforHVDC 93 9.9 ACSystemwithLowInertia 93 10 FaultManagementandHVDCSystemProtection 98 10.1 Introduction 98 10.2 DCLineFaults 98 10.3 ACSystemFaults 101 Contents vii 10.4 InternalFaults 102 10.5 SystemReconfigurationforPermanentFaults 103 10.6 OvervoltageProtection 106 11 LCCHVDCSystemHarmonics 107 11.1 HarmonicPerformanceCriteria 107 11.2 HarmonicLimits 108 11.3 ThyristorConverterHarmonics 109 11.4 HarmonicFilters 110 11.5 NoncharacteristicHarmonicReductionUsingHVDCControls 118 BibliographyPartI LineCommutatedConverterHVDC 119 PartII HVDCwithVoltageSourceConverters 121 12 VSCHVDCApplicationsandTopologies,Performanceand CostComparisonwithLCCHVDC 123 12.1 VoltageSourceConverters(VSC) 123 12.2 ComparisonwithLine-CommutatedConverter(LCC)HVDC 125 12.3 OverheadandSubsea/UndergroundVSCHVDCTransmission 126 12.4 DCCableTypeswithVSCHVDC 129 12.5 MonopolarandBipolarVSCHVDCSystems 129 12.6 VSCHVDCConverterTopologies 130 12.7 VSCHVDCStationComponents 135 12.8 ACReactors 139 12.9 DCReactors 139 13 IGBTSwitchesandVSCConverterLosses 141 13.1 IntroductiontoIGBTandIGCT 141 13.2 GeneralVSCConverterSwitchRequirements 142 13.3 IGBTTechnology 142 13.4 HighPowerIGBTDevices 147 13.5 IEGTTechnology 148 13.6 LossesCalculation 148 13.7 BalancingChallengesinSeriesIGBTChains 154 13.8 SnubbersCircuits 155 14 Single-PhaseandThree-PhaseTwo-LevelVSCConverters 156 14.1 Introduction 156 14.2 Single-PhaseVoltageSourceConverter 156 14.3 Three-PhaseVoltageSourceConverter 159 14.4 Square-Wave,Six-PulseOperation 159 15 Two-LevelPWMVSCConverters 167 15.1 Introduction 167 15.2 PWMModulation 167 15.3 SinusoidalPulse-WidthModulation(SPWM) 168 15.4 ThirdHarmonicInjection(THI) 171 viii Contents 15.5 SelectiveHarmonicEliminationModulation(SHE) 172 15.6 ConverterLossesforTwo-LevelSPWMVSC 173 15.7 HarmonicswithPulse-WidthModulation(PWM) 175 15.8 ComparisonofPWMModulationTechniques 178 16 MultilevelVSCConverters 179 16.1 Introduction 179 16.2 ModulationTechniquesforMultilevelConverters 181 16.3 NeutralPointClampedMultilevelConverter 182 16.4 FlyingCapacitorMultilevelConverter 184 16.5 H-BridgeCascadedConverter 185 16.6 HalfBridgeModularMultilevelConverter(MMC) 186 16.7 MMCBasedonFullBridgeTopology 199 16.8 ComparisonofMultilevelTopologies 208 17 Two-LevelPWMVSCHVDCModelling,ControlandDynamics 209 17.1 PWMTwo-LevelConverterAverageModel 209 17.2 Two-LevelPWMConverterModelinDQFrame 210 17.3 VSCConverterTransformerModel 212 17.4 Two-LevelVSCConverterandACGridModelinABCFrame 213 17.5 Two-LevelVSCConverterandACGridModelinDQRotating CoordinateFrame 213 17.6 VSCConverterControlPrinciples 214 17.7 TheInnerCurrentControllerDesign 215 17.8 OuterControllerDesign 218 17.9 CompleteVSCConverterController 221 17.10 Small-SignalLinearizedVSCHVDCModel 224 17.11 Small-SignalDynamicStudies 224 18 Two-LevelVSCHVDCPhasor-DomainInteractionwithACSystemsand PQOperatingDiagrams 226 18.1 PowerExchangebetweenTwoACVoltageSources 226 18.2 ConverterPhasorModelandPowerExchangewithanACSystem 230 18.3 PhasorStudyofVSCConverterInteractionwithACSystem 232 18.4 OperatingLimits 234 18.5 DesignPointSelection 235 18.6 InfluenceofACSystemStrength 236 18.7 InfluenceofTransformerReactance 236 18.8 OperationwithVeryWeakACSystems 239 19 HalfBridgeMMCConverter:Modelling,ControlandOperatingPQDiagrams 246 19.1 HalfBridgeMMCConverterAverageModelinABCFrame 246 19.2 Half-BridgeMMCConverter-StaticDQFrameandPhasorModel 249 19.3 DifferentialCurrentatSecondHarmonic 254 19.4 CompleteMMCConverterDQModelinMatrixForm 255 19.5 SecondHarmonicCirculatingCurrentSuppressionController 256 19.6 DQFrameModelofMMCwithCirculatingCurrentController 259 19.7 PhasorModelofMMCwithCirculatingCurrentSuppressionController 261 19.8 DynamicMMCModelUsingEquivalentSeriesCapacitorC 262 MMC 19.9 FullDynamicAnalyticalMMCModel 265 19.10 MMCConverterController 267
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