ISBN-10:
1118451007
ISBN-13:
9781118451007
Pub. Date:
08/04/2014
Publisher:
Wiley
Chaos Analysis and Chaotic EMI Suppression of DC-DC Converters / Edition 1

Chaos Analysis and Chaotic EMI Suppression of DC-DC Converters / Edition 1

by Bo Zhang, Xuemei Wang
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Product Details

ISBN-13: 9781118451007
Publisher: Wiley
Publication date: 08/04/2014
Series: Wiley - IEEE Series
Pages: 270
Product dimensions: 6.70(w) x 9.60(h) x 0.70(d)

About the Author

Professor Bo Zhang, School of Electric Power, South China University of Technology, Guangzhou, China
Professor Zhang obtained his PhD in 1994 from Nanjing University of Aeronautics and Astronautics, China, and was a Visiting Scholar at Iowa State University, USA from 2005-6. His research interests include nonlinear analysis and control of power electronic systems, power electronic systems and device, and motor and driving control systems. Professor Wang is the author of numerous journal articles and conference proceedings, and holds 8 Science and Technology awards of province/ministry-grade.? He has been an evaluation expert of 863 Projects, and is currently Chairman of the Power Supply Society of Guangdong Province, China.

Dr Xuemei Wang, Associate Professor, School of Electric Power, South China University of Technology, Guangzhou, China
Dr Wang obtained his PhD in 2009 from South China University of Technology and has been an associate professor for four years. He lectures in power electronics, analogue and digital electronic technology, and soft switching technology of DC switching supply. Dr Wang's areas of expertise include non-linear analysis and control of power electronic systems.

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Table of Contents

About the Authors xi

Preface xiii

Acknowledgments xv

1 Nonlinear Models and Behaviors of DC–DC Converters1

1.1 Introduction 1

1.2 Overview of PWM DC–DC Converters 2

1.2.1 Principle of Pulse Width Modulation 2

1.2.2 Basic Topologies of DC–DC Converters 3

1.2.3 Operation Modes of DC–DC Converters 6

1.2.4 State-Space Model of DC–DC Converters 7

1.2.5 Discrete Model of DC–DC Converters 9

1.3 Overview of the Nonlinear Behavior of DC–DC Converters10

1.4 Review of Basic Dynamics Concepts 13

1.4.1 Dynamical System 14

1.4.2 Linear and Nonlinear Dynamical Systems 16

1.4.3 Characterization of Nonlinear Behavior 18

1.5 Conclusions 24

References 24

2 Symbolic Analysis of the Nonlinear Behavior of DC–DCConverters 27

2.1 Introduction 27

2.2 Overview of the Time Series Principle of Discrete Systems28

2.2.1 Symbolic Dynamics and Symbolic Time Series 28

2.2.2 Symbolization Method 30

2.2.3 Symbolic Dynamics of a Period-Doubling Cascade 32

2.3 Block Entropy 34

2.4 Symbolic Time Series Analysis of DC–DC Converters38

2.4.1 Period-Doubling Bifurcation and Chaos of DC–DCConverters 39

2.4.2 Border Collision Bifurcation and Chaos of DC–DCConverters 43

2.5 Conclusions 46

References 46

3 Complexity of the Nonlinear Behavior of DC–DCConverters 49

3.1 Introduction 49

3.2 Lempel–Ziv Complexity and Analysis of NonlinearBehavior of DC–DC Converters Based on L–Z Complexity51

3.2.1 Lempel–Ziv Complexity 51

3.2.2 Analysis of Lempel–Ziv Complexity of Buck Converter52

3.3 Switching Block of DC–DC Converters 53

3.4 Weight Lempel–Ziv Complexity and Analysis of NonlinearBehavior of DC–DC Converters Based on Weight L–ZComplexity 56

3.4.1 Weight Lempel–Ziv Complexity 57

3.4.2 Weight Lempel–Ziv Complexity of Buck Converter57

3.4.3 Qualitative Analysis of Bifurcation Phenomena Based onComplexity 58

3.5 Duplicate Symbolic Sequence and Complexity 61

3.5.1 Main Switching Block and Main Symbolic Sequence 61

3.5.2 Secondary Switching Block and Secondary Symbolic Sequence61

3.5.3 Duplicate Symbolic Sequence 62

3.5.4 Analysis of Border Collision and Bifurcation inDC–DC Converters Based on Duplicate Symbolic Sequence 63

3.6 Applied Example 65

3.7 Conclusions 72

References 72

4 Invariant Probability Distribution of DC–DCConverters 75

4.1 Introduction 75

4.2 Invariant Probability Distribution of Chaotic Map 76

4.3 Calculating Invariant Probability Distribution of theChaotic Discrete-Time Maps with Eigenvector Method 78

4.4 Invariant Probability Distribution of the Chaotic Mapping ofthe Boost Converter 79

4.5 Application Examples of Invariant Probability Distribution82

4.5.1 Power Spectral Density of the Input Current in aDC–DC Converters 83

4.5.2 Average Switching Frequency 86

4.5.3 Parameter Design with Invariant Probability Distribution88

4.6 Conclusions 90

References 90

5 EMI and EMC of Switching Power Converters 93

5.1 Introduction 93

5.2 EMI Origin of Electric Circuits 94

5.3 Characteristics of Switching Processes of PowerSemiconductors 94

5.4 Overview of EMI and EMC 98

5.4.1 Basic Principles of EMI 98

5.4.2 EMC Regulations 99

5.5 EMI of Power Electronic Converters 101

5.5.1 Parasitic Parameters of Flyback Converters 102

5.5.2 Primary Rectifying Circuit 104

5.5.3 Switching Loop 104

5.6 Conclusions 107

References 107

6 Discrete Subsystem Chaotic Point Process of DC–DCConverters and EMI Suppression 109

6.1 Introduction 109

6.2 Description of Chaotic Point Process of DC–DCConverters 110

6.2.1 Model of Chaotic Point Process of DC–DC Converters110

6.2.2 Statistical Characteristics of the Chaotic Point Processin Converter 111

6.3 Spectral Quantification Analysis of the PWM Pulse Process113

6.3.1 Spectral Quantification Analysis of the Periodic PWM Pulse113

6.3.2 Spectral Quantification Analysis of PWM Chaotic SPSP118

6.4 Conclusions 121

References 121

7 Basis of Spectral Analysis 123

7.1 Introduction 123

7.2 Some Concepts 124

7.3 Fourier Analysis and Fourier Transform 125

7.4 Spectral Density 127

7.4.1 Energy Signals and Power Signals 128

7.4.2 Energy Spectral Density 129

7.4.3 Power Spectral Density 130

7.5 Autocorrelation Function and Power Spectral Density 131

7.6 Classic Power Spectrum Estimation 133

7.6.1 Periodogram 133

7.6.2 Bartlett 134

7.6.3 Welch 135

7.6.4 Blackman and Tukey Method 136

7.6.5 Summary of Classic PSD Estimators 137

7.7 Modern Spectral Density Estimation 138

7.8 Conclusions 139

References 139

8 Dynamic Chaos Spectrum of Chaotic Switching Converters I:Wavelet Method 141

8.1 Introduction 141

8.1.1 Lack of Time and Frequency Positioning 141

8.1.2 Limitation for the Time-Variant Signals 141

8.1.3 Limitation for Resolution 142

8.2 Basic Principle of Wavelet Analysis 143

8.3 Multiresolution Analysis and Orthogonal Wavelets Basis146

8.4 Wavelet Transform and Filter Bank 148

8.5 Wavelet Analysis of Chaotic PWM 148

8.5.1 Basic Principle of Chaotic PWM Control 148

8.5.2 Wavelet Analysis 149

8.5.3 Wavelet Reconstruction of Chaotic PWM 151

8.5.4 Time-Frequency Analysis of the Chaotic PWM 158

8.5.5 Information on the Time–Frequency Image of P(t)162

8.6 Conclusions 169

References 169

9 Dynamic Chaos Spectrum of Chaotic Switching Converters II:Prony Method 173

9.1 Introduction 173

9.2 Prony Method 174

9.2.1 Basic Principle of Prony Method 175

9.2.2 Classical Computing Process of Prony Analysis 178

9.3 Estimating PSD Using the Prony Method 179

9.4 Chaotic Spectral Estimation of DC–DC Converters Basedon the Prony Method 182

9.5 Conclusions 186

References 186

10 Chaotic PWM Suppressing EMI of Power Electronic Converters189

10.1 Introduction 189

10.2 The Principle of Chaotic PWM Suppressing EMI 190

10.2.1 Basic Theory of Frequency Modulation 190

10.2.2 The Frequency Characteristics of Fixed Frequency PWM Wave194

10.2.3 Frequency Characteristics of Spreading Frequency PWM Wave195

10.2.4 The Principle of Chaotic PWM Suppressing EMI 196

10.3 The Key Techniques of Chaotic PWM for Power ElectronicConverters 198

10.3.1 Parameter Selection of Chaotic PWM 198

10.3.2 Choice of a Chaotic PWM Modulation Signal 202

10.4 Chaotic PWM Suppressing EMI Experiments 204

10.4.1 Modulation Circuit of Piecewise-Linear Capacitor ChaosCircuit 205

10.4.2 The DC–DC Converter Suppressing EMI Based on UC3842208

10.4.3 EMI Suppression of Full Bridge Inversion Based on SG3525214

10.5 EMI Suppression of Commercial Switching Power Supply216

10.6 Characteristics of Chaotic Modulated by Different ChaoticMaps 231

10.7 Conclusions 234

References 235

Index 237

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