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Direct Eigen Control for Induction Machines and Synchronous Motors

Book Description

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 Indusction 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.

Table of Contents

  1. Cover
  2. Title page
  3. Copyright page
  4. Dedication
  5. Foreword by Prof. Dr Ing. Jean-Luc Thomas
  6. Foreword by Dr Abdelkrim Benchaïb
  7. Acknowledgements
  8. Introduction
  9. 1 Induction Machine
    1. 1.1 Electrical Equations and Equivalent Circuits
    2. 1.2 Working out the State-Space Equation System
    3. 1.3 Discretized State-Space Equation Inversion
    4. 1.4 Control
    5. 1.5 Conclusion on the Induction Machine Control
  10. 2 Surface-Mounted Permanent-Magnet Synchronous Motor
    1. 2.1 Electrical Equations and Equivalent Circuit
    2. 2.2 Working out the State-Space Equation System
    3. 2.3 Discretized State-Space Equation Inversion
    4. 2.4 Control
    5. 2.5 Conclusion on SMPM-SM
  11. 3 Interior Permanent Magnet Synchronous Motor
    1. 3.1 Electrical Equations and Equivalent Circuits
    2. 3.2 Working out the State-Space Equation System
    3. 3.3 Discretized State-Space Equation Inversion
    4. 3.4 Control
    5. 3.5 Conclusions on the IPM-SM
  12. 4 Inverter Supply – LC Filter
    1. 4.1 Electrical Equations and Equivalent Circuit
    2. 4.2 Working out the State-Space Equation System
    3. 4.3 Discretized State-Space Equation Inversion
    4. 4.4 Control
    5. 4.5 Conclusions on Power LC Filter Stabilization
  13. 5 Conclusion
  14. Appendix A: Calculation of Vector PWM
    1. A.1 PWM Types
    2. A.2 Working out the Control Voltage Vector
    3. A.3 Other Examples of Vector PWM
    4. A.4 Sampled Shape of the Voltage and Current Waves
  15. Appendix B: Transfer Matrix Calculation
    1. B.1 First Eigenvector Calculation
    2. B.2 Second Eigenvector Calculation
    3. B.3 Third Eigenvector Calculation
    4. B.4 Fourth Eigenvector Calculation
    5. B.5 Transfer Matrix Calculation
  16. Appendix C: Transfer Matrix Inversion
    1. C.1 Transfer Matrix Determinant Calculation
    2. C.2 First Row, First Column
    3. C.3 First Row, Second Column
    4. C.4 First Row, Third Column
    5. C.5 First Row, Fourth Column
    6. C.6 Second Row, First Column
    7. C.7 Second Row, Second Column
    8. C.8 Second Row, Third Column
    9. C.9 Second Row, Fourth Column
    10. C.10 Third Row, First Column
    11. C.11 Third Row, Second Column
    12. C.12 Third Row, Third Column
    13. C.13 Third Row, Fourth Column
    14. C.14 Fourth Row, First Column
    15. C.15 Fourth Row, Second Column
    16. C.16 Fourth Row, Third Column
    17. C.17 Fourth Row, Fourth Column
    18. C.18 Inverse Transfer Matrix Calculation
  17. Appendix D: State-Space Eigenvector Calculation
  18. Appendix E: F and G Matrix Calculations
    1. E.1 Transition Matrix Calculation
    2. E.2 Discretized Input Matrix Calculation
  19. References
  20. Index