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Chaos in Electric Drive Systems: Analysis, Control and Application

ISBN: 978-0-470-82633-1
288 pages
August 2011
Chaos in Electric Drive Systems: Analysis, Control and Application (0470826339) cover image
In Chaos in Electric Drive Systems: Analysis, Control and Application authors Chau and Wang systematically introduce an emerging technology of electrical engineering that bridges abstract chaos theory and practical electric drives. The authors consolidate all important information in this interdisciplinary technology, including the fundamental concepts, mathematical modeling, theoretical analysis, computer simulation, and hardware implementation. The book provides comprehensive coverage of chaos in electric drive systems with three main parts: analysis, control and application. Corresponding drive systems range from the simplest to the latest types: DC, induction, synchronous reluctance, switched reluctance, and permanent magnet brushless drives.
  • The first book to comprehensively treat chaos in electric drive systems
  • Reviews chaos in various electrical engineering technologies and drive systems
  • Presents innovative approaches to stabilize and stimulate chaos in typical drives
  • Discusses practical application of chaos stabilization, chaotic modulation and chaotic motion
  • Authored by well-known scientists in the field
  • Lecture materials available from the book's companion website

This book is ideal for researchers and graduate students who specialize in electric drives, mechatronics, and electric machinery, as well as those enrolled in classes covering advanced topics in electric drives and control. Engineers and product designers in industrial electronics, consumer electronics, electric appliances and electric vehicles will also find this book helpful in applying these emerging techniques.

Lecture materials for instructors available at
www.wiley.com/go/chau_chaos

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Preface xi

Organization of this Book xiii

Acknowledgments xv

About the Authors xvii

PART I INTRODUCTION.

1 Overview of Chaos 3

1.1 What is Chaos? 3

1.2 Development of Chaology 4

1.3 Chaos in Electrical Engineering 8

1.3.1 Chaos in Electronic Circuits 9

1.3.2 Chaos in Telecommunications 10

1.3.3 Chaos in Power Electronics 11

1.3.4 Chaos in Power Systems 12

1.3.5 Chaos in Electric Drive Systems 13

2 Introduction to Chaos Theory and Electric Drive Systems 23

2.1 Basic Chaos Theory 23

2.1.1 Basic Principles 23

2.1.2 Criteria for Chaos 28

2.1.3 Bifurcations and Routes to Chaos 29

2.1.4 Analysis Methods 37

2.2 Fundamentals of Electric Drive Systems 45

2.2.1 General Considerations 45

2.2.2 DC Drive Systems 50

2.2.3 Induction Drive Systems 56

2.2.4 Synchronous Drive Systems 61

2.2.5 Doubly Salient Drive Systems 68

PART II ANALYSIS OF CHAOS IN ELECTRIC DRIVE SYSTEMS.

3 Chaos in DC Drive Systems 81

3.1 Voltage-Controlled DC Drive System 81

3.1.1 Modeling 81

3.1.2 Analysis 83

3.1.3 Simulation 87

3.1.4 Experimentation 94

3.2 Current-Controlled DC Drive System 96

3.2.1 Modeling 96

3.2.2 Analysis 98

3.2.3 Simulation 102

3.2.4 Experimentation 108

4 Chaos in AC Drive Systems 113

4.1 Induction Drive Systems 113

4.1.1 Modeling 113

4.1.2 Analysis 116

4.1.3 Simulation 117

4.1.4 Experimentation 118

4.2 Permanent Magnet Synchronous Drive Systems 119

4.2.1 Modeling 120

4.2.2 Analysis 122

4.2.3 Simulation 125

4.2.4 Experimentation 127

4.3 Synchronous Reluctance Drive Systems 129

4.3.1 Modeling 130

4.3.2 Analysis 133

4.3.3 Simulation 136

4.3.4 Experimentation 139

5 Chaos in Switched Reluctance Drive Systems 145

5.1 Voltage-Controlled Switched Reluctance Drive System 146

5.1.1 Modeling 146

5.1.2 Analysis 149

5.1.3 Simulation 151

5.1.4 Experimentation 153

5.2 Current-Controlled Switched Reluctance Drive System 155

5.2.1 Modeling 155

5.2.2 Analysis 157

5.2.3 Simulation 159

5.2.4 Phenomena 163

PART III CONTROL OF CHAOS IN ELECTRIC DRIVE SYSTEMS.

6 Stabilization of Chaos in Electric Drive Systems 171

6.1 Stabilization of Chaos in DC Drive System 171

6.1.1 Modeling 171

6.1.2 Analysis 175

6.1.3 Simulation 178

6.1.4 Experimentation 179

6.2 Stabilization of Chaos in AC Drive System 181

6.2.1 Nonlinear Feedback Control 182

6.2.2 Backstepping Control 183

6.2.3 Dynamic Surface Control 186

6.2.4 Sliding Mode Control 189

7 Stimulation of Chaos in Electric Drive Systems 193

7.1 Control-Oriented Chaoization 193

7.1.1 Time-Delay Feedback Control of PMDC Drive System 193

7.1.2 Time-Delay Feedback Control of PM Synchronous Drive System 199

7.1.3 Proportional Time-Delay Control of PMDC Drive System 201

7.1.4 Chaotic Signal Reference Control of PMDC Drive System 204

7.2 Design-Oriented Chaoization 207

7.2.1 Doubly Salient PM Drive System 209

7.2.2 Shaded-Pole Induction Drive System 219

PART IV APPLICATION OF CHAOS IN ELECTRIC DRIVE SYSTEMS.

8 Application of Chaos Stabilization 235

8.1 Chaos Stabilization in Automotive Wiper Systems 235

8.1.1 Modeling 236

8.1.2 Analysis 238

8.1.3 Stabilization 240

8.2 Chaos Stabilization in Centrifugal Governor Systems 246

8.2.1 Modeling 247

8.2.2 Analysis 248

8.2.3 Stabilization 248

8.3 Chaos Stabilization in Rate Gyro Systems 250

8.3.1 Modeling 251

8.3.2 Analysis 253

8.3.3 Stabilization 253

9 Application of Chaotic Modulation 257

9.1 Overview of PWM Schemes 257

9.1.1 Voltage-Controlled PWM Schemes 257

9.1.2 Current-Controlled PWM Schemes 260

9.2 Noise and Vibration 261

9.3 Chaotic PWM 263

9.3.1 Chaotic Sinusoidal PWM 265

9.3.2 Chaotic Space Vector PWM 269

9.4 Chaotic PWM Inverter Drive Systems 271

9.4.1 Open-Loop Control Operation 272

9.4.2 Closed-Loop Vector Control Operation 273

10 Application of Chaotic Motion 283

10.1 Chaotic Compaction 283

10.1.1 Compactor System 285

10.1.2 Chaotic Compaction Control 286

10.1.3 Compaction Simulation 287

10.1.4 Compaction Experimentation 290

10.2 Chaotic Mixing 292

10.2.1 Mixer System 293

10.2.2 Chaotic Mixing Control 294

10.2.3 Chaotic Mixing Simulation 295

10.2.4 Chaotic Mixing Experimentation 298

10.3 Chaotic Washing 301

10.3.1 Chaotic Clothes-Washer 302

10.3.2 Chaotic Dishwasher 304

10.4 Chaotic HVAC 306

10.5 Chaotic Grinding 309

References 312

Index 315

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K.T. Chau is a professor at the Department of Electrical & Electronic Engineering, The University of Hong Kong, where he also serves as the director of the International Research Centre for Electric Vehicles, and co-director of BEng degree in Electrical Engineering. Chau is a Chartered Engineer, Fellow of the IET, and Senior Member of the IEEE. Currently, he serves as co-editor of the Journal of Asian Electric Vehicles, associate editor of the International Journal of Electrical Energy Systems, as well as Editorial Board Member of the IET Electric Power Applications, the Progress in Electromagnetic Research and the Journal of Electromagnetic Waves and Applications. Chau has been working in the areas of electric drives and electric vehicles for about 20 years. He has published about 350 papers in his field, including about 60 IEEE Transactions papers. He also co-authored a monograph titled Modern Electric Vehicle Technology published by the Oxford University Press. Chau has received many awards, including the Chang Jiang Chair Professorship by the Ministry of Education, China; the National Overseas Young Researcher Award by the National Natural Science Foundation of China; the Environmental Excellence in Transportation Award for Education, Training and Public Awareness by the International Society of Automotive Engineers; the Award for Innovative Excellence in Teaching, Learning and Technology at the International Conference on College Teaching and Learning; the University Teaching Fellow Award by The University of Hong Kong; and the Outstanding Young Researcher Award by The University of Hong Kong. Chau received his B.Sc (Eng) with First Class Honors, M. Phil., and Ph.D from The University of Hong Kong, all in electrical and electronic engineering.
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