Direct Eigen Control for Induction Machines and Synchronous Motors (eBook)

Alacoque was previously R&D manager at Alstom Traction in charge of product development in the field of telephone line insulation, traction motor control and wheel-rail adhension control. Prior to this he R&D manager of industrial electronic products for thermal controls and speed drives in CEM, Villeurbanne, then Technical Director of ACEP for power plant engineering. He later joined the R&D team of CORECI as manager for development of process control products. Jean Claude's research interests include discrete-time systems applied to machine control for railways traction during line voltage and wheel-rail adhesion disturbances and with voltage and current saturation. He has authored many technical papers and patents.

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