Direct Eigen Control for Induction Machines and Synchronous Motors.
Title:
Direct Eigen Control for Induction Machines and Synchronous Motors.
Author:
Alacoque, Jean Claude.
ISBN:
9781118460627
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (287 pages)
Series:
Wiley - IEEE
Contents:
Direct Eigen Control for Induction Machines and Synchronous Motors -- Copyright -- 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 -- 1.1.1 Definitions and Notation -- 1.1.2 Equivalent Electrical Circuits -- 1.1.3 Differential Equation System -- 1.1.4 Interpretation of Electrical Relations -- 1.2 Working out the State-Space Equation System -- 1.2.1 State-Space Equations in the Fixed Plane -- 1.2.2 State-Space Equations in the Complex Plane -- 1.2.3 Complex State-Space Equation Discretization -- 1.2.4 Evolution Matrix Diagonalization -- 1.2.4.1 Eigenvalues -- 1.2.4.2 Transfer Matrix Algebraic Calculation -- 1.2.4.3 Transfer Matrix Inversion -- 1.2.5 Projection of State-Space Vectors in the Eigenvector Basis -- 1.3 Discretized State-Space Equation Inversion -- 1.3.1 Introduction of the Rotating Frame -- 1.3.2 State-Space Vector Calculations in the Eigenvector Basis -- 1.3.3 Control Calculation - Eigenstate-Space Equation System Inversion -- 1.4 Control -- 1.4.1 Constitution of the Set-Point State-Space Vector -- 1.4.2 Constitution of the Initial State-Space Vector -- 1.4.3 Control Process -- 1.4.3.1 Real-Time Implementation -- 1.4.3.2 Measure Filtering -- 1.4.3.3 Transition and Input Matrix Calculations -- 1.4.3.4 Kalman Filter, Observation and Prediction -- 1.4.3.5 Summary of Measurement, Filtering and Prediction -- 1.4.4 Limitations -- 1.4.4.1 Voltage Limitation -- 1.4.4.2 Current Limitation -- 1.4.4.3 Operating Area and Limits -- 1.4.4.4 Set-Point Limit Algebraic Calculations -- 1.4.5 Example of Implementation -- 1.4.5.1 Adjustment of Flux and Torque - Limitations in Traction Operation -- 1.4.5.2 Adjustment of Flux and Torque - Limitations in Electrical Braking.
1.4.5.3 Free Evolution - Short-Circuit Torque -- 1.5 Conclusion on the Induction Machine Control -- 2 Surface-Mounted Permanent-Magnet Synchronous Motor -- 2.1 Electrical Equations and Equivalent Circuit -- 2.1.1 Definitions and Notations -- 2.1.2 Equivalent Electrical Circuit -- 2.1.3 Differential Equation System -- 2.2 Working out the State-Space Equation System -- 2.2.1 State-Space Equations in the Fixed Plane -- 2.2.2 State-Space Equations in the Complex Plane -- 2.2.3 Complex State-Space Equation Discretization -- 2.2.4 Evolution Matrix Diagonalization -- 2.2.4.1 Eigenvalues -- 2.2.4.2 Transfer Matrix Calculation -- 2.2.4.3 Transfer Matrix Inversion -- 2.2.5 Projection of State-Space Vectors in the Eigenvector Basis -- 2.3 Discretized State-Space Equation Inversion -- 2.3.1 Introduction of the Rotating Frame -- 2.3.2 State-Space Vector Calculations in the Eigenvector Basis -- 2.3.3 Control Computation - Eigenstate-Space Equation Inversion -- 2.4 Control -- 2.4.1 Constitution of the Set-Point State-Space Vector -- 2.4.2 Constitution of the Initial State-Space Vector -- 2.4.3 Control Process -- 2.4.3.1 Real-Time Implementation -- 2.4.3.2 Measure Filtering -- 2.4.3.3 Transition and Control Matrix Calculations -- 2.4.3.4 Kalman Filter, Observation and Prediction -- 2.4.3.5 Summary of Measurement, Filtering and Prediction -- 2.4.4 Limitations -- 2.4.4.1 Voltage Limitation -- 2.4.4.2 Current Limitation -- 2.4.4.3 Operating Area and Limits -- 2.4.4.4 Set-Point Limit Calculations -- 2.4.5 Example of Implementation -- 2.4.5.1 Adjustment of Torque - Limitations in Traction Operation -- 2.4.5.2 Adjustment of Torque - Limitations in Electrical Braking -- 2.4.5.3 Free Evolution - Short-Circuit Torque -- 2.5 Conclusion on SMPM-SM -- 3 Interior Permanent Magnet Synchronous Motor -- 3.1 Electrical Equations and Equivalent Circuits.
3.1.1 Definitions and Notations -- 3.1.2 Equivalent Electrical Circuits -- 3.1.3 Differential Equation System -- 3.2 Working out the State-Space Equation System -- 3.2.1 State-Space Equations in the Fixed Plane -- 3.2.2 State-Space Equations in the Complex Plane -- 3.2.3 State-Space Equation Discretization -- 3.2.4 Evolution Matrix Diagonalization -- 3.2.4.1 Eigenvalues -- 3.2.4.2 Transfer Matrix Calculation -- 3.2.4.3 Transfer Matrix Inversion -- 3.2.5 Projection of State-Space Vectors in the Eigenvector Basis -- 3.3 Discretized State-Space Equation Inversion -- 3.3.1 Rotating Reference Frame -- 3.3.2 State-Space Vector Calculations in the Eigenvector Basis -- 3.3.2.1 Calculation of Third and Fourth Coordinates of the State-Space Equation -- 3.3.2.2 Calculation of the First and the Second Coordinate of the State-Space Eigenvector -- 3.3.3 Control Calculation - Eigenstate-Space Equations Inversion -- 3.4 Control -- 3.4.1 Constitution of the Set-Point State-Space Vector -- 3.4.2 Constitution of the Initial State-Space Vector -- 3.4.3 Control Process -- 3.4.3.1 Real-Time Implementation -- 3.4.3.2 Measure Filtering -- 3.4.3.3 Transition and Input Matrix Calculations -- 3.4.3.4 Kalman Filter -- 3.4.3.5 Summary of Measurement, Filtering and Prediction -- 3.4.4 Limitations -- 3.4.4.1 Voltage Limitation -- 3.4.4.2 Current Limitation -- 3.4.4.3 Operating Area and Limits -- 3.4.4.4 Set-Point Limit Calculation -- 3.4.5 Example of Implementation -- 3.4.5.1 Adjustment of Torque - Limitations in Traction Mode -- 3.4.5.2 Adjustment of Torque - Limitations in Electrical Braking -- 3.4.5.3 Free Evolution - Short-Circuit Torque -- 3.5 Conclusions on the IPM-SM -- 4 Inverter Supply - LC Filter -- 4.1 Electrical Equations and Equivalent Circuit -- 4.1.1 Definitions and Notations -- 4.1.2 Equivalent Electrical Circuit -- 4.1.3 Differential Equation System.
4.2 Working out the State-Space Equation System -- 4.2.1 State-Space Equations in a Fixed Frame -- 4.2.2 State-Space Equations in the Complex Plane -- 4.2.3 State-Space Equation Discretization -- 4.2.4 Evolution Matrix Diagonalization -- 4.2.4.1 Eigenvalues -- 4.2.4.2 Transfer Matrix Calculation -- 4.2.4.3 Transfer Matrix Inversion -- 4.3 Discretized State-Space Equation Inversion -- 4.3.1 Evolution Matrix Diagonalization -- 4.3.2 State-Space Equation Discretization -- 4.3.3 State-Space Vector Calculations in the Eigenvector Basis -- 4.4 Control -- 4.4.1 Constitution of the Set-Point State-Space Vector -- 4.4.2 Constitution of the Initial State-Space Vector -- 4.4.3 Inversion - Line Current Control by the Useful Current -- 4.4.4 Inversion - Capacitor Voltage Control by the Useful Current -- 4.4.5 General Case - Control by the Useful Current -- 4.4.6 Example of Implementation -- 4.4.6.1 Lack of Capacitor Voltage Stabilization -- 4.4.6.2 Capacitor Voltage Stabilization -- 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.3.1 Unsymmetrical Vector PWM -- A.3.2 Symmetrical Triangular Wave Based PWM -- A.3.3 Synchronous 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 -- C.3 First Row, Second Column -- C.4 First Row, Third Column -- C.5 First Row, Fourth Column -- C.6 Second Row, First Column -- C.7 Second Row, Second Column.
C.8 Second Row, Third Column -- C.9 Second Row, Fourth Column -- C.10 Third Row, First Column -- C.11 Third Row, Second Column -- C.12 Third Row, Third Column -- C.13 Third Row, Fourth Column -- C.14 Fourth Row, First Column -- C.15 Fourth Row, Second Column -- C.16 Fourth Row, Third Column -- C.17 Fourth Row, Fourth Column -- C.18 Inverse transfer Matrix Calculation -- Appendix D State-Space Eigenvector Calculation -- Appendix E F and G Matrix Calculations -- E.1 Transition Matrix Calculation -- E.2 Discretized Input Matrix Calculation -- References -- Index.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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