Direct Eigen Control for Induction Machines and Synchronous Motors

Contents

Foreword by Prof. Dr Ing. Jean-Luc Thomas

Foreword by Dr Abdelkrim Benchaïb

Acknowledgements

Introduction

1 Induction Machine

1.1 Electrical Equations and Equivalent Circuits

1.2 Working out the State-Space Equation System

1.3 Discretized State-Space Equation Inversion

1.4 Control

1.5 Conclusion on the Induction Machine Control

2 Surface-Mounted Permanent-Magnet Synchronous Motor

2.1 Electrical Equations and Equivalent Circuit

2.2 Working out the State-Space Equation System

2.3 Discretized State-Space Equation Inversion

2.4 Control

2.5 Conclusion on SMPM-SM

3 Interior Permanent Magnet Synchronous Motor

3.1 Electrical Equations and Equivalent Circuits

3.2 Working out the State-Space Equation System

3.3 Discretized State-Space Equation Inversion

3.4 Control

3.5 Conclusions on the IPM-SM

4 Inverter Supply – LC Filter

4.1 Electrical Equations and Equivalent Circuit

4.2 Working out the State-Space Equation System

4.3 Discretized State-Space Equation Inversion

4.4 Control

4.5 Conclusions on Power LC Filter Stabilization

5 Conclusion

Appendix A Calculation of Vector PWM

A.1 PWM Types

A.2 Working out the Control Voltage Vector

A.3 Other Examples of Vector PWM

A.4 Sampled Shape of the Voltage and Current Waves

Appendix B Transfer Matrix Calculation

B.1 First Eigenvector Calculation

B.2 Second Eigenvector Calculation

B.3 Third Eigenvector Calculation

B.4 Fourth Eigenvector Calculation

B.5 Transfer Matrix Calculation

Appendix C Transfer Matrix Inversion

C.1 Transfer Matrix Determinant Calculation

C.2 First Row, First Column ...