The introductory chapter briefly presents the fundamental topologies and operation of power inverters. The second chapter contains a description of wavelet basis functions and sampling theory with particular reference to the switching model of inverters. Chapter three outlines the connection between the non-uniform sampling theorem and wavelet functions to develop an ideal sampling-reconstruction process to operate an inverter for obtaining its optimal performances. The scale based linearly combined basis functions are developed in chapter four in order to successfully operate single phase wavelet modulated inverters. Chapter four also contains the development of the non-dyadic type multiresolution analysis, that are responsible for sampling and recontruction of three continuous time reference modulating signals for three phase inverters. The performances of single phase wavelet modulated inverters for static, dynamic and non-linear loads are presented in chapter five, while chapter six contains the simulation and experimental performances of three phase wavelet modulated voltage source inverters for different loads at various operating conditions. This book presents the latest technology in the advancing power electronics field.
S. A. SALEH, PhD, IEEE Member, is a faculty member at the School of Ocean Technology, Marine Institute, Memorial University of Newfoundland, Canada. He has published more than ten IEEE Transactions and holds two patents. Dr. Saleh's research interests include wavelets, wavelet transforms, power system protection and control, power electronic converters, modulation techniques, digital signal processing and its applications in power systems, and power electronics.
M. AZIZUR RAHMAN, PhD, IEEE Life Fellow, is Professor and University Research Professor at Memorial University of Newfoundland, Canada. He has forty-eight years of teaching experience. Rahman has published more than 650 papers and holds eleven patents. He is the recipient of numerous awards.
Preface. List of Symbols. List of Abbreviations. 1 Introduction to Power Inverters. 1.1 Fundamental Inverter Topologies. 1.2 Multi-Level Inverter Topologies. 1.3 Fundamental Inverter Switching. 1.4 Harmonic Distortion. 1.5 Summary. 2 Wavelets and The Sampling Theorem. 2.1 General. 2.2 Wavelet Basis Functions. 2.3 Sampling Process as a Multiresolution Analysis (MRA). 2.4 Sampling Forms. 2.5 Wavelet Sampling Theory. 2.6 Summary. 3 Modeling of Power Inverters. 3.1 General. 3.2 Sampling-Based Modeling of Single-Phase Inverter. 3.3 Testing the Non-uniform Recurrent Sampling-Based Model of Inverters. 3.4 Sampling-Based Modeling of Three-Phase Inverters. 3.5 Summary. 4 Scale-Based Linearly-Combined Wavelets. 4.1 General. 4.2 Scale-Based Linearly-Combined Wavelet Basis Functions. 4.3 Non-Dyadic MRA Structure. 4.4 Scale-based Linearly-Combined Scaling Functions for Three-Phase Inverters. 4.5 Summary. 5 Single-Phase Wavelet Modulated Inverters. 5.1 General. 5.2 Implementing the Wavelet Modulation Technique. 5.3 Simulated Performance of a Wavelet Modulated Inverter. 5.4 Experimental Performance of a Wavelet Modulated Inverter. 5.5 The Scale-Time Interval Factor. 5.6 Summary. 6 Three-Phase Wavelet Modulated Inverters. 6.1 General. 6.2 Implementing the Wavelet Modulation Technique for a Three-Phase Inverter. 6.3 Simulated Performance of a Three Phase Wavelet Modulated Inverter. 6.4 Experimental Performance of a Three Phase Wavelet Modulated Inverter. 6.5 Summary. Bibliography. Appendix. A Non-dyadic MRA for 3íWMInverters. A.1 Preliminary Derivations. A.2 Time and Scale Localization of MRA Spaces. Bibliography. Index.
Show moreThe introductory chapter briefly presents the fundamental topologies and operation of power inverters. The second chapter contains a description of wavelet basis functions and sampling theory with particular reference to the switching model of inverters. Chapter three outlines the connection between the non-uniform sampling theorem and wavelet functions to develop an ideal sampling-reconstruction process to operate an inverter for obtaining its optimal performances. The scale based linearly combined basis functions are developed in chapter four in order to successfully operate single phase wavelet modulated inverters. Chapter four also contains the development of the non-dyadic type multiresolution analysis, that are responsible for sampling and recontruction of three continuous time reference modulating signals for three phase inverters. The performances of single phase wavelet modulated inverters for static, dynamic and non-linear loads are presented in chapter five, while chapter six contains the simulation and experimental performances of three phase wavelet modulated voltage source inverters for different loads at various operating conditions. This book presents the latest technology in the advancing power electronics field.
S. A. SALEH, PhD, IEEE Member, is a faculty member at the School of Ocean Technology, Marine Institute, Memorial University of Newfoundland, Canada. He has published more than ten IEEE Transactions and holds two patents. Dr. Saleh's research interests include wavelets, wavelet transforms, power system protection and control, power electronic converters, modulation techniques, digital signal processing and its applications in power systems, and power electronics.
M. AZIZUR RAHMAN, PhD, IEEE Life Fellow, is Professor and University Research Professor at Memorial University of Newfoundland, Canada. He has forty-eight years of teaching experience. Rahman has published more than 650 papers and holds eleven patents. He is the recipient of numerous awards.
Preface. List of Symbols. List of Abbreviations. 1 Introduction to Power Inverters. 1.1 Fundamental Inverter Topologies. 1.2 Multi-Level Inverter Topologies. 1.3 Fundamental Inverter Switching. 1.4 Harmonic Distortion. 1.5 Summary. 2 Wavelets and The Sampling Theorem. 2.1 General. 2.2 Wavelet Basis Functions. 2.3 Sampling Process as a Multiresolution Analysis (MRA). 2.4 Sampling Forms. 2.5 Wavelet Sampling Theory. 2.6 Summary. 3 Modeling of Power Inverters. 3.1 General. 3.2 Sampling-Based Modeling of Single-Phase Inverter. 3.3 Testing the Non-uniform Recurrent Sampling-Based Model of Inverters. 3.4 Sampling-Based Modeling of Three-Phase Inverters. 3.5 Summary. 4 Scale-Based Linearly-Combined Wavelets. 4.1 General. 4.2 Scale-Based Linearly-Combined Wavelet Basis Functions. 4.3 Non-Dyadic MRA Structure. 4.4 Scale-based Linearly-Combined Scaling Functions for Three-Phase Inverters. 4.5 Summary. 5 Single-Phase Wavelet Modulated Inverters. 5.1 General. 5.2 Implementing the Wavelet Modulation Technique. 5.3 Simulated Performance of a Wavelet Modulated Inverter. 5.4 Experimental Performance of a Wavelet Modulated Inverter. 5.5 The Scale-Time Interval Factor. 5.6 Summary. 6 Three-Phase Wavelet Modulated Inverters. 6.1 General. 6.2 Implementing the Wavelet Modulation Technique for a Three-Phase Inverter. 6.3 Simulated Performance of a Three Phase Wavelet Modulated Inverter. 6.4 Experimental Performance of a Three Phase Wavelet Modulated Inverter. 6.5 Summary. Bibliography. Appendix. A Non-dyadic MRA for 3íWMInverters. A.1 Preliminary Derivations. A.2 Time and Scale Localization of MRA Spaces. Bibliography. Index.
Show morePreface ix
List of Symbols xi
List of Abbreviations xv
1. Introduction to Power Inverters 1
1.1 Fundamental Inverter Topologies 1
1.1.1 Single-Phase (1φ) Inverters 2
1.1.2 Three-Phase (3φ) Inverters 4
1.2 Multilevel Inverter Topologies 6
1.2.1 Neutral-Point Clamped Multilevel Inverter 7
1.2.2 Diode-Clamped Multilevel Inverter 8
1.2.3 Capacitor-Clamped Multilevel Inverter 8
1.2.4 Cascaded H-Bridge Multilevel Inverter 9
1.3 Fundamental Inverter Switching 11
1.4 Harmonic Distortion 15
1.5 Summary 17
2. Wavelets and the Sampling Theorem 19
2.1 Introduction 19
2.2 Wavelet Basis Functions 21
2.2.1 Orthogonal Wavelet Basis Functions 23
2.2.2 Semi-Orthogonal Wavelet Basis Functions 25
2.2.3 Bi-Orthogonal Wavelet Basis Functions 27
2.2.4 Shift-Orthogonal Wavelet Basis Functions 28
2.3 Sampling Process as a Multiresolution Analysis (MRA) 29
2.4 Sampling Forms 33
2.4.1 Uniform Sampling 33
2.4.2 Nonuniform Sampling 35
2.4.3 Nonuniform Recurrent Sampling 36
2.5 Wavelet Sampling Theory 37
2.6 Summary 39
3. Modeling of Power Inverters 41
3.1 Introduction 41
3.2 Sampling-Based Modeling of Single-Phase Inverters 43
3.2.1 Nonuniform Sampling-Based Representation 44
3.2.2 Reconstructing the Reference-Modulating Signal from Nonuniform Samples 46
3.3 Testing the Nonuniform Recurrent Sampling-Based Model of Inverters 51
3.3.1 PWM Inverter Output Voltage for Two Carrier Frequencies 52
3.4 Sampling-Based Modeling of Three-Phase Inverters 53
3.5 Summary 62
4. Scale-Based Linearly Combined Wavelets 65
4.1 Introduction 65
4.2 Scale-Based Linearly Combined Wavelet Basis Functions 66
4.2.1 Balancing the Order of the Scale-Based Linearly Combined Scaling Function ϕ(t) 70
4.2.2 Scale-Based Linearly Combined Wavelet Function ψϕ(t) 72
4.2.3 Construction of Scale-Based Linearly Combined Synthesis Scaling Functions ϕ(t) 74
4.3 Nondyadic MRA Structure 76
4.3.1 MRA for Nonuniform Recurrent Sampling 76
4.4 Scale-Based Linearly Combined Scaling Functions for Three-Phase Inverters 79
4.5 Summary 83
5. Single-Phase Wavelet Modulated Inverters 85
5.1 Introduction 85
5.2 Implementing the Wavelet Modulation Technique 85
5.3 Simulated Performance of a Wavelet Modulated Inverter 88
5.4 Experimental Performance of a Wavelet Modulated Inverter 95
5.5 The Scale-Time Interval Factor γ 101
5.6 Summary 106
6. Three-Phase Wavelet Modulated Inverters 107
6.1 Introduction 107
6.2 Implementing the Wavelet Modulation Technique for a Three-Phase Inverter 108
6.3 Simulated Performance of a Three-Phase Wavelet Modulated Inverter 111
6.4 Experimental Performance of a Three-Phase Wavelet Modulated Inverter 119
6.5 Summary 127
Appendix A Nondyadic MRA for 3φ WM Inverters 131
A.1 Preliminary Derivations 131
A.2 Time and Scale Localization of MRA Spaces 132
Bibliography 135
Index 143
S. A. SALEH, PhD, IEEE Member, is a faculty member at theSchool of Ocean Technology, Marine Institute, Memorial Universityof Newfoundland, Canada. He has published more than ten IEEETransactions and holds two patents. Dr. Saleh's research interestsinclude wavelets, wavelet transforms, power system protection andcontrol, power electronic converters, modulation techniques,digital signal processing and its applications in power systems,and power electronics. M. AZIZUR RAHMAN, PhD, IEEE Life Fellow, is Professor andUniversity Research Professor at Memorial University ofNewfoundland, Canada. He has forty-eight years of teachingexperience. Rahman has published more than 650 papers and holdseleven patents. He is the recipient of numerous awards.
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