Contributors xv Preface xvii Acronyms xix 1 Introduction 3 1.1 Power Converters in Modern Industry 4 1.2 Why Use Graph Theory in Converter Research 10 1.3 Organization of the Book 18 2 Fundamentals of Power Converters Topologies 23 2.1 The Fundamental Concepts of Power Converter 24 2.2 Classifications of Power Converters 28 2.3 Conclusions 46 3 Introduction of Graph Theory 49 3.1 Development of Graph Theory 50 3.

2 Basic Concepts 52 3.3 Advanced Concepts 67 3.4 Conclusions 86 4 Graphical Modeling for Power Converters 89 4.1 A Brief Overview of Graph Theory in Power Electronics 90 4.2 Modeling Basics and Procedures 93 4.3 Converter-level Modeling and Analysis 102 4.4 System-Level Modeling of Power Electronic Networks 133 4.5 Conclusions 145 5 Isomorphic Relationships of Power Converters 147 5.

1 Isomorphism in Power Converters 148 5.2 Converter Isomorphisms with Graphical Orientation 161 5.3 Converter Isomorphisms without Graphical Orientation 169 5.4 Conclusions 188 6 Dual Relationships of Power Converters 191 6.1 Basic Dual Methods 192 6.2 Dual Methods for Power Converters 202 6.3 Dual Uniqueness 222 6.4 Conclusions 235 7 Topological Cycling Relationships of Power Converters 237 7.

1 The Phenomenon of Topological Cycling 237 7.2 Planar Circuit Topological Cycling 247 7.3 Nonplanar Circuits Topological Cycling 256 7.4 Practical Applications of Topological Cycling 269 7.5 Conclusions 277 8 Systematic Derivation of Multilevel Converters 281 8.1 Introduction 282 8.2 Unified Models and Structures of Multilevel Converters 288 8.3 Synthesis of Voltage-Source and Current-Source Multilevel Converters 307 8.

4 Matrix-Type Multilevel Converters 344 8.5 Conclusions 354 9 Topology Development for Multiport Converters 357 9.1 Graphical Modeling for Multiport Converters 358 9.2 Unique Dual Multiport Converters 389 9.3 Multiple Dual Multiport Converters 406 9.4 Conclusions 417 10 PWM Design for Emerging Multilevel Converters 419 10.1 Introduction and Graph-Theoretic Foundations 420 10.2 Carrier-Based PWM Design for ANPC-based Converters 435 10.

3 Advanced Topics in Systematic PWM Design 479 10.4 Conclusions 511 11 Derivation of Emerging Current-Source Converter Topologies 515 11.1 Background 516 11.2 Duality-Based Current-Source Converter Derivation 534 11.3 Isomorphism-Based Current-Source Converter Derivation 549 11.4 Flying-Capacitor-Clamped Current-Source Converter 564 11.5 Conclusions 582 12 Power Converter System Operation and Optimization 585 12.1 Fundamentals of Graph Theory for Power Converter Systems 586 12.

2 Leveraging Converter Relationships for Power Converter Control 600 12.3 EV Charging Station Optimization in Power-Traffic Coupled Network 617 12.4 Graph Neural Networks and Their Applications 630 12.5 Conclusions 653 Bibliography 654 Index 656.