Advanced Electric Drives: Analysis, Control, and Modeling Using MATLAB / SimulinkISBN: 9781118485484
208 pages
August 2014

Description
• Gives readers a “physical” picture of electric machines and drives without resorting to mathematical transformations for easy visualization
• Confirms the physicsbased analysis of electric drives mathematically
• Provides readers with an analysis of electric machines in a way that can be easily interfaced to common power electronic converters and controlled using any control scheme
• Makes the MATLAB/Simulink files used in examples available to anyone in an accompanying website
• Reinforces fundamentals with a variety of discussion questions, concept quizzes, and homework problems
Table of Contents
Preface xiii
Notation xv
1 Applications: Speed and Torque Control 1
11 History 1
12 Background 2
13 Types of ac Drives Discussed and the Simulation Software 2
14 Structure of this Textbook 3
15 “Test” Induction Motor 3
16 Summary 4
References 4
Problems 4
2 Induction Machine Equations in Phase Quantities: Assisted by Space Vectors 6
21 Introduction 6
22 Sinusoidally Distributed Stator Windings 6
221 ThreePhase, Sinusoidally Distributed Stator Windings 8
23 Stator Inductances (Rotor OpenCircuited) 9
231 Stator SinglePhase Magnetizing Inductance Lm,1phase 9
232 Stator MutualInductance Lmutual 11
233 PerPhase MagnetizingInductance Lm 12
234 StatorInductance Ls 12
24 Equivalent Windings in a SquirrelCage Rotor 13
241 RotorWinding Inductances (Stator OpenCircuited) 13
25 Mutual Inductances between the Stator and the Rotor Phase Windings 15
26 Review of Space Vectors 15
261 Relationship between Phasors and Space Vectors in Sinusoidal Steady State 17
27 Flux Linkages 18
271 Stator Flux Linkage (Rotor OpenCircuited) 18
272 Rotor Flux Linkage (Stator OpenCircuited) 19
273 Stator and Rotor Flux Linkages (Simultaneous Stator and Rotor Currents) 20
28 Stator and Rotor Voltage Equations in Terms of Space Vectors 21
29 Making the Case for a dq Winding Analysis 22
210 Summary 25
Reference 25
Problems 26
3 Dynamic Analysis of Induction Machines in Terms of dq Windings 28
31 Introduction 28
32 dq Winding Representation 28
321 Stator dq Winding Representation 29
322 Rotor dq Windings (Along the Same dqAxes as in the Stator) 31
323 Mutual Inductance between dq Windings on the Stator and the Rotor 32
33 Mathematical Relationships of the dq Windings (at an Arbitrary Speed ωd) 33
331 Relating dq Winding Variables to Phase Winding Variables 35
332 Flux Linkages of dq Windings in Terms of Their Currents 36
333 dq Winding Voltage Equations 37
334 Obtaining Fluxes and Currents with Voltages as Inputs 40
34 Choice of the dqWinding Speed ωd 41
35 Electromagnetic Torque 42
351 Torque on the Rotor d Axis Winding 42
352 Torque on the Rotor q Axis Winding 43
353 Net Electromagnetic Torque Tem on the Rotor 44
36 Electrodynamics 44
37 d and qAxis Equivalent Circuits 45
38 Relationship between the dq Windings and the PerPhase PhasorDomain Equivalent Circuit in Balanced Sinusoidal Steady State 46
39 Computer Simulation 47
391 Calculation of Initial Conditions 48
310 Summary 56
Reference 56
Problems 57
4 Vector Control of InductionMotor Drives: A Qualitative Examination 59
41 Introduction 59
42 Emulation of dc and Brushless dc Drive Performance 59
421 Vector Control of InductionMotor Drives 61
43 Analogy to a CurrentExcited Transformer with a Shorted Secondary 62
431 Using the Transformer Equivalent Circuit 65
44 d and q Axis Winding Representation 66
45 Vector Control with dAxis Aligned with the Rotor Flux 67
451 Initial Flux Buildup Prior to t = 0−67
452 Step Change in Torque at t = 0+68
46 Torque, Speed, and Position Control 72
461 The Reference Current isq t * ( ) 72
462 The Reference Current isd t ( ) 73
463 Transformation and InverseTransformation of Stator Currents 73
464 The Estimated Motor Model for Vector Control 74
47 The PowerProcessing Unit (PPU) 75
48 Summary 76
References 76
Problems 77
5 Mathematical Description of Vector Control in Induction Machines 79
51 Motor Model with the dAxis Aligned Along the Rotor Flux Linkage λ rAxis 79
511 Calculation of ωdA 81
512 Calculation of Tem 81
513 dAxis Rotor Flux Linkage Dynamics 82
514 Motor Model 82
52 Vector Control 84
521 Speed and Position Control Loops 86
522 Initial Startup 89
523 Calculating the Stator Voltages to Be Applied 89
524 Designing the PI Controllers 90
53 Summary 95
Reference 95
Problems 95
6 Detuning Effects in Induction Motor Vector Control 97
61 Effect of Detuning Due to Incorrect Rotor Time Constant τr 97
62 SteadyState Analysis 101
621 SteadyState isd /is*d 104
622 SteadyState isq /is*q 104
623 SteadyState θerr 105
624 SteadyState Tem /Te*m 106
63 Summary 107
References 107
Problems 108
7 Dynamic Analysis of Doubly Fed Induction Generators and Their Vector Control 109
71 Understanding DFIG Operation 110
72 Dynamic Analysis of DFIG 116
73 Vector Control of DFIG 116
74 Summary 117
References 117
Problems 117
8 Space Vector Pulse WidthModulated (SVPWM) Inverters 119
81 Introduction 119
82 Synthesis of Stator Voltage Space Vector vsa 119
83 Computer Simulation of SVPWM Inverter 124
84 Limit on the Amplitude ˆVs of the Stator Voltage Space Vectov sa 125
Summary 128
References 128
Problems 129
9 Direct Torque Control (DTC) and Encoderless Operation of Induction Motor Drives 130
91 Introduction 130
92 System Overview 130
93 Principle of Encoderless DTC Operation 131
94 Calculation of λs, λ r, Tem, and ωm 132
941 Calculation of the Stator Flux λ s 132
942 Calculation of the Rotor Flux λ r 133
943 Calculation of the Electromagnetic Torque Tem 134
944 Calculation of the Rotor Speed ωm 135
95 Calculation of the Stator Voltage Space Vector 136
96 Direct Torque Control Using dqAxes 139
97 Summary 139
References 139
Problems 139
Appendix 9A 140
Derivation of Torque Expressions 140
10 Vector Control of PermanentMagnet Synchronous Motor Drives 143
101 Introduction 143
102 dq Analysis of Permanent Magnet (NonsalientPole) Synchronous Machines 143
1021 Flux Linkages 144
1022 Stator dq Winding Voltages 144
1023 Electromagnetic Torque 145
1024 Electrodynamics 145
1025 Relationship between the dq Circuits and the PerPhase PhasorDomain Equivalent Circuit in Balanced Sinusoidal Steady State 145
1026 dqBased Dynamic Controller for “Brushless DC” Drives 147
103 SalientPole Synchronous Machines 151
1031 Inductances 152
1032 Flux Linkages 153
1033 Winding Voltages 153
1034 Electromagnetic Torque 154
1035 dqAxis Equivalent Circuits 154
1036 Space Vector Diagram in Steady State 154
104 Summary 156
References 156
Problems 156
11 SwitchedReluctance Motor (SRM) Drives 157
111 Introduction 157
112 SwitchedReluctance Motor 157
1121 Electromagnetic Torque Tem 159
1122 Induced BackEMF ea 161
113 Instantaneous Waveforms 162
114 Role of Magnetic Saturation 164
115 Power Processing Units for SRM Drives 165
116 Determining the Rotor Position for Encoderles Operation 166
117 Control in Motoring Mode 166
118 Summary 167
References 167
Problems 167
Index 169