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Direct Eigen Control for Induction Machines and Synchronous Motors

ISBN: 978-1-119-94270-2
286 pages
December 2012, Wiley-IEEE Press
Direct Eigen Control for Induction Machines and Synchronous Motors (1119942705) cover image

Clear presentation of a new control process applied to induction machine (IM), surface mounted permanent magnet synchronous motor (SMPM-SM) and interior permanent magnet synchronous motor (IPM-SM)

Direct Eigen Control for Induction Machines and Synchronous Motors provides a clear and consise explanation of a new method in alternating current (AC) motor control. Unlike similar books on the market, it does not present various control algorithms for each type of AC motor but explains one method designed to control all AC motor types: Induction Machine (IM), Surface Mounted Permanent Magnet Synchronous Motor (SMPM-SM) (i.e. Brushless) and Interior Permanent Magnet Synchronous Motor (IPM-SM). This totally new control method can be used not only for AC motor control but also to control input filter current and voltage of an inverter feeding an AC motor.

  • Accessible and clear, describes a new fast type of motor control applied to induction machine (IM), surface mounted permanent magnet synchronous motor (SM-PMSM) and interior permanent magnet synchronous motor (I-PMSM) with various examples
  • Summarizes a method that supersedes the two known direct control solutions – Direct Self Control and Direct Torque Control – to be used for AC motor control and to control input filter current and voltage of an inverter feeding an AC motor
  • Presents comprehensive simulations that are easy for the reader to reproduce on a computer. A control program is hosted on a companion website

This book is straight-forward with clear mathematical description. It presents simulations in a way that is easy to understand and to reproduce on a computer, whilst omitting details of practical hardware implementation of control, in order for the main theory to take focus. The book remains concise by leaving out description of sensorless controls for all motor types. The sections on “Control Process”, “Real Time Implementation” and “Kalman Filter Observer and Prediction” in the introductory chapters explain how to practically implement, in real time, the discretized control with all three types of AC motors. In order, this book describes induction machine, SMPM-SM, IPM-SM, and, application to LC filter limitations. The appendixes present: PWM vector calculations; transfer matrix calculation; transfer matrix inversion; Eigen state space vector calculation; and, transition and command matrix calculation.

Essential reading for Researchers in the field of drive control; graduate and post-graduate students studying electric machines; electric engineers in the field of railways, electric cars, plane surface control, military applications. The approach is also valuable for Engineers in the field of machine tools, robots and rolling mills.

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Foreword by Prof. Dr Ing. Jean-Luc Thomas xiii

Foreword by Dr Abdelkrim Benchaïb xv

Acknowledgements xvii

Introduction xix

1 Induction Machine 1

1. 1 Electrical Equations and Equivalent Circuits 1

1. 2 Working out the State-Space Equation System 9

1. 3 Discretized State-Space Equation Inversion 22

1. 4 Control 31

1. 5 Conclusion on the Induction Machine Control 63

2 Surface-Mounted Permanent-Magnet Synchronous Motor 65

2. 1 Electrical Equations and Equivalent Circuit 66

2. 2 Working out the State-Space Equation System 69

2. 3 Discretized State-Space Equation Inversion 76

2. 4 Control 84

2. 5 Conclusion on SMPM-SM 118

3 Interior Permanent Magnet Synchronous Motor 121

3. 1 Electrical Equations and Equivalent Circuits 122

3. 2 Working out the State-Space Equation System 127

3. 3 Discretized State-Space Equation Inversion 134

3. 4 Control 143

3. 5 Conclusions on the IPM-SM 189

4 Inverter Supply – LC Filter 191

4. 1 Electrical Equations and Equivalent Circuit 191

4. 2 Working out the State-Space Equation System 193

4. 3 Discretized State-Space Equation Inversion 198

4. 4 Control 201

4. 5 Conclusions on Power LC Filter Stabilization 211

5 Conclusion 213

Appendix A Calculation of Vector PWM 217

A.1 PWM Types 218

A.2 Working out the Control Voltage Vector 218

A.3 Other Examples of Vector PWM 221

A.4 Sampled Shape of the Voltage and Current Waves 224

Appendix B Transfer Matrix Calculation 225

B.1 First Eigenvector Calculation 225

B.2 Second Eigenvector Calculation 227

B.3 Third Eigenvector Calculation 228

B.4 Fourth Eigenvector Calculation 230

B.5 Transfer Matrix Calculation 231

Appendix C Transfer Matrix Inversion 233

C.1 Transfer Matrix Determinant Calculation 234

C.2 First Row, First Column 234

C.3 First Row, Second Column 235

C.4 First Row, Third Column 235

C.5 First Row, Fourth Column 235

C.6 Second Row, First Column 236

C.7 Second Row, Second Column 236

C.8 Second Row, Third Column 236

C.9 Second Row, Fourth Column 237

C.10 Third Row, First Column 237

C.11 Third Row, Second Column 237

C.12 Third Row, Third Column 237

C.13 Third Row, Fourth Column 237

C.14 Fourth Row, First Column 238

C.15 Fourth Row, Second Column 238

C.16 Fourth Row, Third Column 238

C.17 Fourth Row, Fourth Column 238

C.18 Inverse Transfer Matrix Calculation 238

Appendix D State-Space Eigenvector Calculation 239

Appendix E F and G Matrix Calculations 245

E.1 Transition Matrix Calculation 245

E.2 Discretized Input Matrix Calculation 249

References 251

Index 253

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