Graph Theory in Power Converters

Yuzhuo Li, PhD, is a Postdoctoral Fellow in the Electric and Intelligent Grid Research Lab, Department of Electrical and Computer Engineering, University of Alberta, Canada. He is also Vice-Chair of the IEEE Northern Canada PELS Chapter. Yunwei Ryan Li, PhD, is University of Alberta Senior Engineering Research Chair and Chair in the Department of Electrical and Computer Engineering, Alberta, Canada. He also serves as Vice President of the IEEE Power Electronics Society and Editor-in-Chief of IEEE Transactions on Power Electronics (TPEL) Letters, and has published prolifically on power electronics and related subjects.

• Contributors xvPreface xviiAcronyms xix1 Introduction 31.1 Power Converters in Modern Industry 41.2 Why Use Graph Theory in Converter Research 101.3 Organization of the Book 182 Fundamentals of Power Converters Topologies 232.1 The Fundamental Concepts of Power Converter 242.2 Classifications of Power Converters 282.3 Conclusions 463 Introduction of Graph Theory 493.1 Development of Graph Theory 503.2 Basic Concepts 523.3 Advanced Concepts 673.4 Conclusions 864 Graphical Modeling for Power Converters 894.1 A Brief Overview of Graph Theory in Power Electronics 904.2 Modeling Basics and Procedures 934.3 Converter-level Modeling and Analysis 1024.4 System-Level Modeling of Power Electronic Networks 1334.5 Conclusions 1455 Isomorphic Relationships of Power Converters 1475.1 Isomorphism in Power Converters 1485.2 Converter Isomorphisms with Graphical Orientation 1615.3 Converter Isomorphisms without Graphical Orientation 1695.4 Conclusions 1886 Dual Relationships of Power Converters 1916.1 Basic Dual Methods 1926.2 Dual Methods for Power Converters 2026.3 Dual Uniqueness 2226.4 Conclusions 2357 Topological Cycling Relationships of Power Converters 2377.1 The Phenomenon of Topological Cycling 2377.2 Planar Circuit Topological Cycling 2477.3 Nonplanar Circuits Topological Cycling 2567.4 Practical Applications of Topological Cycling 2697.5 Conclusions 2778 Systematic Derivation of Multilevel Converters 2818.1 Introduction 2828.2 Unified Models and Structures of Multilevel Converters 2888.3 Synthesis of Voltage-Source and Current-Source Multilevel Converters 3078.4 Matrix-Type Multilevel Converters 3448.5 Conclusions 3549 Topology Development for Multiport Converters 3579.1 Graphical Modeling for Multiport Converters 3589.2 Unique Dual Multiport Converters 3899.3 Multiple Dual Multiport Converters 4069.4 Conclusions 41710 PWM Design for Emerging Multilevel Converters 41910.1 Introduction and Graph-Theoretic Foundations 42010.2 Carrier-Based PWM Design for ANPC-based Converters 43510.3 Advanced Topics in Systematic PWM Design 47910.4 Conclusions 51111 Derivation of Emerging Current-Source Converter Topologies 51511.1 Background 51611.2 Duality-Based Current-Source Converter Derivation 53411.3 Isomorphism-Based Current-Source Converter Derivation 54911.4 Flying-Capacitor-Clamped Current-Source Converter 56411.5 Conclusions 58212 Power Converter System Operation and Optimization 58512.1 Fundamentals of Graph Theory for Power Converter Systems 58612.2 Leveraging Converter Relationships for Power Converter Control 60012.3 EV Charging Station Optimization in Power-Traffic Coupled Network 61712.4 Graph Neural Networks and Their Applications 63012.5 Conclusions 653Bibliography 654Index 656