INDUCTION MOTOR

Abstract……………………………………………………….…………………………………. .3
Rezumat………………………………………………………………………………………..….4
Chapter 1
Introduction………………………………………………………………………………………..5
Chapter 2
Voltage Source Inverter…………………………………………………………………………...7
2.1 Three-Phase Voltage Source Inverter…………………………………………………………7
Chapter 3
Induction Motor………………………………………………………………………………….12
3.1 Physical Description…………………………………………………………………………15
3.2 Equivalent Circuit Diagrams…………………………………………………………………18
3.3 Inverse Gamma Model…………………………………………………. ……………...……21
3.3.1 Stator Coordinates………………………………………………………………….21
3.3.2 Synchronous and Rotor Flux Coordinates…………………………………………22
3.3.3 Current Control…………………………………………………………………….24
3.4 Gamma Model……………………………………………………………………………….25
3.4.1 Stator Coordinates………………………………………………………………….25
3.4.2 Slip Frequency Control…………………………………………………………….27
3.5 Simulations……………………………………………………………..................................29
Chapter 4
Field-Oriented Control (FOC)…………………………………………………………………...32
4.1 Space Vector definition and projection………………………………………………………33
4.1.1 The (a,b,c(a,b) projection (Clarke transformation)…………………………….34
4.1.2 The (a,b (d,q) projection (Park transformation)……………………………….36
4.1.3 The (d,q(a,b) projection (inverse Park transformation)………………………..37
4.2 The basic scheme for the FOC………………………………………………………………37
4.3 The input for the FOC………………………………………………………………………..39
4.3.1 Current sampling…………………………………………………………………...39
4.3.2 Rotor flux position…………………………………………………………………39
4.4 The PI regulator……………………………………………………………………………...40
Chapter 5
Controllability Analysis………………………………………………………………………….42
5.1 Input Constraints……………………………………………………………………………..43
5.2 Polar Representation…………………………………………………………………………43
5.3 Poles and Zeros………………………………………………………………………………46
5.4 Relative Gain Array (RGA)………………………………………………………………….48
5.5 Singular Values Revisited……………………………………………………………………49
Chapter 6
Conclusions ……………………………………………………………………………………...52

List of symbols…………………………………………………………………………………...54
List of Acronyms………………………………………………………………………………...55
Appendix A………………………………………………………………………………………56
Appendix B………………………………………………………………………………………57
Appendix C………………………………………………………………………………………58
Appendix D………………………………………………………………………………………64
Bibliography……………………………………………………………………………………..66
Copyright………………………………………………………………………………………...67