Introduction to Modern Analysis of Electric Machines and Drives

275 Pages·2022·7.98 MB·English

by  Paul C. Krause, Thomas R. Krause

Introduction toModernAnalysis of
Electric Machines and Drives
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IEEEPress
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SarahSpurgeon,EditorinChief
JónAtliBenediktsson AndreasMolisch DiomidisSpinellis
AnjanBose SaeidNahavandi AhmetMuratTekalp
AdamDrobot JeffreyReed
Peter(Yong)Lian ThomasRobertazzi
ffirs3d 2 30/11/2022 3:24:31PM
Introduction to Modern Analysis of
Electric Machines and Drives
Paul C. Krause
Thomas C. Krause
IEEE Press Series on Power and Energy Systems
Ganesh Kumar Venayagamoorthy, Series Editor
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Copyright©2023byTheInstituteofElectricalandElectronicsEngineers,Inc.Allrightsreserved.
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LibraryofCongressCataloging-in-PublicationData
Names:Krause,PaulC.,author.|Krause,ThomasC.,author.
Title:Introductiontomodernanalysisofelectricmachinesanddrives/
PaulC.Krause,ThomasC.Krause.
Description:Hoboken:Wiley,[2023]|Series:IEEEPressseriesonpower
andenergysystems|Includesbibliographicalreferencesandindex.
Identifiers:LCCN2022032455(print)|LCCN2022032456(ebook)|ISBN
9781119908159(hardback)|ISBN9781119908166(adobepdf)|ISBN
9781119908173(epub)
Subjects:LCSH:Electricmachinery.|Electricdriving.
Classification:LCCTK2000.K682023 (print)|LCCTK2000 (ebook)|DDC
621.31/042–dc23/eng/20220824
LCrecordavailableathttps://lccn.loc.gov/2022032455
LCebookrecordavailableathttps://lccn.loc.gov/2022032456
Setin9.5/12.5ptSTIXTwoTextbyStraive,Pondicherry,India
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v
Contents
AuthorBiography ix
Foreword xi
Preface xv
1 CommonAnalysisTools 1
1.1 Introduction 1
1.2 Steady-StatePhasorCalculations 1
1.2.1 PowerandReactivePower 7
1.3 StationaryMagneticallyLinearSystems 9
1.3.1 Two-WindingTransformer 13
1.4 WindingConfigurations 18
1.5 Two-andThree-PhaseStators 23
1.5.1 Two-PhaseStator 23
1.5.2 Three-PhaseStator 25
1.5.3 Line-to-LineVoltage 28
1.6 Problems 30
Reference 32
2 AnalysisoftheSymmetricalStator 33
2.1 Introduction 33
2.2 Tesla’sRotatingMagneticField 33
2.2.1 Two-PoleTwo-PhaseStator 34
2.2.2 Two-PoleThree-PhaseStator 39
2.3 ReferenceFrameTheory 41
2.3.1 Two-PhaseTransformation 41
2.3.2 Three-PhaseTransformation 43
2.4 StatorVoltageandFluxLinkageEquationsintheArbitraryReference
FrameandtheInstantaneousPhasor 46
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vi Contents
2.4.1 Two-PhaseStator 46
2.4.2 Three-PhaseStator 49
2.4.3 InstantaneousandSteady-StatePhasors 50
2.5 Problems 52
References 53
3 SymmetricalInductionMachine 55
3.1 Introduction 55
3.2 SymmetricalMachines 55
3.3 SymmetricalTwo-PoleRotorWindings 59
3.3.1 Two-PhaseRotorWindings 59
3.3.2 Three-PhaseRotorWindings 62
3.4 SubstituteVariablesForSymmetricalRotatingCircuitsandEquivalent
Circuit 62
3.4.1 Two-PhaseMachine 62
3.4.2 Three-PhaseMachine 70
3.5 ElectromagneticForceandTorque 70
3.6 P-PoleMachines 78
3.7 FreeAccelerationVariablesViewedfromDifferentReference
Frames 83
3.8 Steady-StateEquivalentCircuit 89
3.9 Problems 102
References 104
4 SynchronousMachines 105
4.1 Introduction 105
4.2 AnalysisofthePermanent-MagnetacMotor 106
4.2.1 Torque 109
4.2.2 UnequalDirect–andQuadrature–AxisInductances 112
4.2.3 Three-PhaseMachine 116
4.3 WindingsoftheSynchronousMachine 117
4.4 EquivalentCircuit–VoltageandTorqueEquations 120
4.4.1 Torque 122
4.4.2 RotorAngle 122
4.5 DynamicandSteady-StatePerformances 123
4.6 AnalysisofSteady-StateOperation 127
4.7 TransientStability 130
4.7.1 Three-PhaseFault 130
4.8 Problems 136
Reference 136
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Contents vii
5 DirectCurrentMachineandDrive 137
5.1 Introduction 137
5.2 Commutation 138
5.3 VoltageandTorqueEquations 141
5.4 Permanent-MagnetdcMachine 143
5.5 DCDrive 146
5.5.1 Average-ValueTime-DomainBlockDiagram 148
5.5.2 TorqueControl 149
5.6 Problems 151
Reference 152
6 BrushlessdcandField-OrientedDrives 153
6.1 Introduction 153
6.2 TheBrushlessdcDriveConfiguration 154
6.3 NormalModeofBrushlessdcDriveOperation 159
6.4 OtherModesofBrushlessdcDriveOperation 166
6.4.1 Maximum-TorquePerVoltOperationofaBrushlessdcDrive
(ϕ =ϕ ) 166
v vMT V
6.4.2 Maximum-TorquePerAmpereOperationofaBrushlessdcDrive
(ϕ =ϕ ) 170
v vMT A
6.4.3 TorqueControl 174
6.5 Field-OrientedInductionMotorDrive 177
6.6 Problems 185
References 186
7 Single-PhaseInductionMotors 187
7.1 Introduction 187
7.2 SymmetricalComponents 188
7.3 AnalysisofUnbalancedModesofOperation 192
7.3.1 UnbalancedStatorVoltages 194
7.3.2 UnbalancedStatorImpedances 197
7.3.3 Open-CircuitedStatorPhase 199
7.4 Single-PhaseandCapacitor-StartInductionMotors 200
7.4.1 Single-PhaseInductionMotor 200
7.4.2 Capacitor-StartInductionMotor 201
7.5 DynamicandSteady-StatePerformanceofaCapacitor-StartSingle-Phase
InductionMotor 204
7.6 Split-PhaseInductionMotor 207
7.7 Problems 208
References 209
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viii Contents
8 StepperMotors 211
8.1 Introduction 211
8.2 BasicConfigurationsofMultistackVariable-ReluctanceStepper
Motors 211
8.3 EquationsforMultistackVariable-ReluctanceStepperMotors 218
8.4 OperatingCharacteristicsofMultistackVariableReluctanceStepper
Motors 221
8.5 Single-StackVariable-ReluctanceStepperMotors 225
8.6 BasicConfigurationofPermanent-MagnetStepperMotors 229
8.7 EquationsforPermanent-MagnetStepperMotors 233
8.8 Problems 236
References 237
AppendixA Abbreviations,Constants,Conversions,andIdentities 238
Epilogue 241
Index 245
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