Control of Synchronous Motors

Jean-Paul Louis is currently "professor emeritus" at ENS Cachan. His current research interests are in the fields of modelling and control of electrical machines and electrical systems.

Introduction xv
Jean-Paul LOUIS

Chapter 1. Synchronous motor controls, Problems and Modeling 1
Jean-Paul LOUIS, Damien FLIELLER, Ngac Ky NGUYEN and Guy STURTZER

1.1. Introduction 1

1.2. Problems on the synchronous motor control 2

1.3. Descriptions and physical modeling of the synchronous motor  6

1.4. Modeling in dynamic regime of the synchronous motor in the natural three-phase a-b-c reference frame 14

1.5. Vector transformations and dynamic models in the α-β and d-q reference frames (sinusoidal field distribution machines with non-salient and salient poles) 24

1.6. Can we extend the Park transformation to synchronous motors with non-sinusoidal field distributions?  31

1.7. Conclusion 39

1.8. Appendices 39

1.9. Bibliography 44

Chapter 2. Optimal Supply and Synchronous Motors Torque Control: Designs in the a-b-c Reference Frame 49
Damien FLIELLER, Jean-Paul LOUIS, Guy STURTZER and Ngac Ky NGUYEN

2.1. Introduction: problems of the controls in a-b-c 49

2.2. Model in the a-b-c reference frame: extension of the steady state approach in transient regime 50

2.3. Structures of torque controls designed in the a-b-c reference frame 54

2.4. Performances and criticisms of the control approach in the a-b-c reference frame 57

2.5. Generalization: extension of the supplies to the case of non-sinusoidal distribution machines 78

2.6. Use of Fourier expansion to obtain optimal currents 90

2.7. Conclusion 112

2.8. Appendices 113

2.9. Bibliography 114

Chapter 3. Optimal Supplies and Synchronous Motors Torque Controls. Design in the d-q Reference Frame 119
Damien FLIELLER, Jean-Paul LOUIS, Guy STURTZER and Ngac Ky NGUYEN

3.1. Introduction: on the controls designed in the Park d-q reference frame 119

3.2. Dynamic model (case of the salient pole machine and constant excitation) 120

3.3. First approach to determine of optimal current references (d-q reference frame)122

3.4. Determination of the current controls designed in the d-q reference frame 124

3.5. New control by model inversion: example of an IP controller with compensations 135

3.6. Optimal supply of the salient poles synchronous motors; geometrical approach of the isotorque curves 143

3.7. Conclusion 166

3.8. Appendices 167

3.9. Bibliography 169

Chapter 4. Drive Controls with Synchronous Motors 173
Jean-Paul LOUIS, Damien FLIELLER, Ngac Ky NGUYEN and Guy STURTZER

4.1. Introduction 173

4.2. Principles adopted for speed controls: case of IP controllers 176

4.3. Speed controls designed in the a-b-c reference frame (application to a non-salient pole machine) 179

4.4. Determination of the speed controls designed in the d-q reference frame (application to a salient pole machine) 184

4.5. Note on position regulations 211

4.6. Conclusion 215

4.7. Appendices 216

4.8. Bibliography 217

Chapter 5. Digital Implementation of Vector Control of Synchronous Motors 221
Flavia KHATOUNIAN and Eric MONMASSON

5.1. Introduction 221

5.2. Classical, analog and ideal torque control of a synchronous motor 223

5.3. Digital implementation problem of the synchronous motor vector control 227

5.4. Discretization of the control system 230

5.5. Study of the delays introduced by the digital implementation of the vector control of the synchronous motor 237

5.6. Quantization problems 241

5.7. Delays in the reverse Park transformation 248

5.8. Conclusion 248

5.9. Bibliography 249

Chapter 6. Direct Control of a Permanent Magnet Synchronous Machine 251
Jean-Marie RÉTIF

6.1. Introduction 251

6.2. Model of the permanent magnet synchronous machine in the d-q reference frame 252

6.3. Conventional DTC with free switching frequency 253

6.4. DTC at a fixed switching frequency 258

6.5. Predictive direct control 264

6.6. Conclusion 279

6.7. Bibliography 280

Chapter 7. Synchronous Machine and Inverter Fault Tolerant Predictive Controls 283
Caroline DOC, Vincent LANFRANCHI and Nicolas PATIN

7.1. Introduction 283

7.2. Topologies of three-phase fault tolerant machines 284

7.3. Topologies of fault tolerant converters 285

7.4. Fault tolerant controls 287

7.5. Conclusion 302

7.6. Bibliography 303

Chapter 8. Characterization of Control without a Mechanical Sensor in Permanent Magnet Synchronous Machines 305
Maurice FADEL

8.1. Introduction 305

8.2. Sensorless control of PMSM, thanks to an extended Kalman filter 313

8.3. Comparison with the MRAS (model reference adaptive system) method 321

8.4. Experimental results comparison 323

8.5. Control without sensor of the PMSM with load torque observation 325

8.6. Starting the PMSM without a mechanical sensor 334

8.7. Conclusion 344

8.8. Bibliography 345

Chapter 9. Sensorless Control of Permanent Magnet Synchronous Machines: Deterministic Methods, Convergence and Robustness 347
Farid MEIBODY-TABAR and Babak NAHID-MOBARAKEH

9.1. Introduction 347

9.2. Modeling PMSMs for mechanical sensorless control 350

9.3. Convergence analysis of mechanical sensorless control laws 356

9.4. Estimation of the back-EMF vector 371

9.5. Robustness of sensorless control of PMSM with respect to parameter uncertainties 373

9.6. Sensorless control of PMSMs in the presence of uncertainties on the resistance 387

9.7. Conclusion 396

9.8. Appendix 1 397

9.9. Appendix 2 397

9.10. Bibliography 398

List of Authors 401

Index 403

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