Chaos Analysis and Chaotic Emi Suppression of Dc-Dc Converters

"Introduces chaos theory, its analytical methods and the means to apply chaos to the switching power supply designDC-DC converters are typical switching systems which have plenty of nonlinear behaviors, such as bifurcation and chaos. The nonlinear behaviors of DC-DC converters have been studied heavily over the past 20 years, yet researchers are still unsure of the practical application of bifurcations and chaos in switching converters. The electromagnetic interference (EMI), which resulted from the highrates of changes of voltage and current, has become a major design criterion in DC-DC converters due to wide applications of various electronic devices in industry and daily life, and the question of how to reduce the annoying, harmful EMI has attracted much research interest. This book focuses on the analysis and application of chaos to reduce harmful EMI of DC-DC converters. After a review of the fundamentals of chaos behaviors of DC-DC converters, the authors present some recent findings such as Symbolic Entropy, Complexity and Chaos Point Process, to analyze the characters of chaotic DC-DC converters. Using these methods, the statistic characters of chaotic DC-DC converters are extracted and the foundations for the following researches of chaotic EMI suppression are reinforced. The focus then transfers to estimating the power spectral density of chaotic PWM converters behind an introduction of basic principles of spectrum analysis and chaotic PWM technique. Invariant Density, and Prony and Wavelet analysis methods are suggested for estimating the power spectral density of chaotic PWM converters. Finally, some design-oriented applications provide a good example of applying chaos theory in engineering practice, and illustrate the effectiveness on suppressing EMI of the proposed chaotic PWM. Introduces chaos theory, its analytical methods and the means to apply chaos to the switching power supply design Approaches the subject in a systematic manner from analyzing method, chaotic phenomenon and EMI characteristics, analytical methods for chaos, and applying chaos to reduce EMI (electromagnetic interference) Highlights advanced research work in the fields of statistic characters of nonlinear behaviors and chaotic PWM technology to suppress EMI of switching converters Bridges the gap between numerical theory and real-world applications, enabling power electronics designers to both analyze the effects of chaos and leverage these effects to reduce EMI "--...

List of contents

About 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 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 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 Period-Doubling Bifurcation and Chaos of DC-DC 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 Lempel-Ziv Complexity and Analysis of Nonlinear Behavior of DC-DC Converters Based on L-Z Complexity 51
 
3.2.1 Lempel-Ziv 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

About the author

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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.

Summary

Introduces chaos theory, its analytical methods and the means to apply chaos to the switching power supply design DC-DC converters are typical switching systems which have plenty of nonlinear behaviors, such as bifurcation and chaos.

Product details

• Authors: Xuemei Wang, B Zhang, Bo Zhang, Bo Wang Zhang
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 23.01.2015
• EAN: 9781118451007
• ISBN: 978-1-118-45100-7
• No. of pages: 270
• Series: Wiley - IEEE; Wiley - IEEE; IEEE Press
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; Energietechnik, Energie, Gleichstrom, Leistungselektronik, ENERGY, Power electronics, Electrical & Electronics Engineering, Elektrotechnik u. Elektronik, Schaltkreise - Theorie u. Entwurf / VLSI / ULSI, Circuit Theory & Design / VLSI / ULSI, Power Technology & Power Engineering, Störaussendung