Beschreibung
InhaltsangabeAbout the Authors xi Preface xiii Acknowledgments xv 1 Nonlinear Models and Behaviors of DC-DC Converters 1 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 StateSpace Model of DCDC Converters 7 1.2.5 Discrete Model of DC-DC Converters 9 1.3 Overview of the Nonlinear Behavior of DC-DC Converters 10 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-DC Converters 27 2.1 Introduction 27 2.2 Overview of the Time Series Principle of Discrete Systems 28 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 Converters 38 2.4.1 PeriodDoubling Bifurcation and Chaos of DCDC Converters 39 2.4.2 Border Collision Bifurcation and Chaos of DC-DC Converters 43 2.5 Conclusions 46 References 46 3 Complexity of the Nonlinear Behavior of DC-DC Converters 49 3.1 Introduction 49 3.2 LempelZiv Complexity and Analysis of Nonlinear Behavior of DCDC Converters Based on LZ Complexity 51 3.2.1 LempelZiv Complexity 51 3.2.2 Analysis of Lempel-Ziv Complexity of Buck Converter 52 3.3 Switching Block of DC-DC Converters 53 3.4 Weight Lempel-Ziv Complexity and Analysis of Nonlinear Behavior of DC-DC Converters Based on Weight L-Z Complexity 56 3.4.1 Weight Lempel-Ziv Complexity 57 3.4.2 Weight Lempel-Ziv Complexity of Buck Converter 57 3.4.3 Qualitative Analysis of Bifurcation Phenomena Based on Complexity 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 Sequence 61 3.5.3 Duplicate Symbolic Sequence 62 3.5.4 Analysis of Border Collision and Bifurcation in DC-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-DC Converters 75 4.1 Introduction 75 4.2 Invariant Probability Distribution of Chaotic Map 76 4.3 Calculating Invariant Probability Distribution of the Chaotic Discrete-Time Maps with Eigenvector Method 78 4.4 Invariant Probability Distribution of the Chaotic Mapping of the Boost Converter 79 4.5 Application Examples of Invariant Probability Distribution 82 4.5.1 Power Spectral Density of the Input Current in a DC-DC Converters 83 4.5.2 Average Switching Frequency 86 4.5.3 Parameter Design with Invariant Probability Distribution 88 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 Power Semiconductors 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-DC Converters and EMI Suppression 109 6.1 Introduction 109 6.2 Description of Chaotic Point Process of DC-DC Converters 110 6.2.1 Model of Chaotic Point Process of DC-DC Converters 110 6.2.2 Statistical Characteristics of the Chaotic Point Process in Converter 111 6.3 Spectral Quantification Analysis of the PWM Pulse Process 113 6.3.1 Spectral Quantification Analysis of the Periodic PWM Pulse 113 6.3.2 Spectral Quantification Analysis of PWM Chaotic SPSP 118
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