Cover image for An introduction to wavelet modulated inverters
Title:
An introduction to wavelet modulated inverters
Series:
IEEE Press series on power engineering
Publication Information:
Hoboken, N.J. : Wiley-IEEE, c2010
Physical Description:
xv, 148 p. : ill. ; 25 cm.
ISBN:
9780470610480
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30000010253885 TK7872.I65 R54 2010 Open Access Book Book
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Summary

Summary

AN INTRODUCTION TO Wavelet Modulated Inverters

An authoritative guide to designing and constructing wavelet functions that accurately model complex circuits for better performance

This is the first book to provide details, analysis, development, implementation, and performances of wavelet modulated (WM) inverters, a novel technique that keeps power systems stable and minimizes energy waste while enhancing power quality and efficiency. Written by experts in the power electronics field, it provides step-by-step procedures to implement the WM technique for single- and three-phase inverters. Also presented are key sample performance results for the new WM power inverters for different load types, which demonstrate the inverters' simplicity, efficacy, and robustness.

Beginning with the fundamentals of inverter technology, the book then describes wavelet basis functions and sampling theory with particular reference to the switching model of inverters. From there, comprehensive chapters explain:

The connection between the non-uniform sampling theorem and wavelet functions to develop an ideal sampling-reconstruction process to operate an inverter The development of scale-based linearly combined basis functions in order to successfully operate single-phase WM inverters Performances of single-phase WM inverters for static, dynamic, and non-linear loads The simulation and experimental performances of three-phase wavelet modulated voltage source inverters for different loads at various operating conditions

The book establishes, for the first time, a direct utilization of different concepts of the sampling theorem and signal processing in accurate modeling of the operation of single- and three-phase inverters. Figures are provided to help develop the basis of utilizing concepts of the sampling, signal processing, and wavelet theories in developing a new tool and technology for inverters. Also included are easy-to-follow mathematical derivations, as well as procedures and flowcharts to facilitate the implementation of the WM inverters. These items make this unique reference of great interest to academic researchers, industry-based researchers, and practicing engineers. It is ideally suited for senior undergraduate and graduate-level students in electrical engineering, computer engineering, applied signal processing, and power electronics courses.


Author Notes

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.


Table of Contents

Prefacep. ix
List of Symbolsp. xi
List of Abbreviationsp. xv
1 Introduction to Power Invertersp. 1
1.1 Fundamental Inverter Topologiesp. 1
1.1.1 Single-Phase (1¿) Invertersp. 2
1.1.2 Three-Phase (3¿) Invertersp. 4
1.2 Multilevel Inverter Topologiesp. 6
1.2.1 Neutral-Point Clamped Multilevel Inverterp. 7
1.2.2 Diode-Clamped Multilevel Inverterp. 8
1.2.3 Capacitor-Clamped Multilevel Inverterp. 8
1.2.4 Cascaded H-Bridge Multilevel Inverterp. 9
1.3 Fundamental Inverter Switchingp. 11
1.4 Harmonic Distortionp. 15
1.5 Summaryp. 17
2 Wavelets and the Sampling Theoremp. 19
2.1 Introductionp. 19
2.2 Wavelet Basis Functionsp. 21
2.2.1 Orthogonal Wavelet Basis Functionsp. 23
2.2.2 Semi-Orthogonal Wavelet Basis Functionsp. 25
2.2.3 Bi-Orthogonal Wavelet Basis Functionsp. 27
2.2.4 Shift-Orthogonal Wavelet Basis Functionsp. 28
2.3 Sampling Process as a Multiresolution Analysis (MRA)p. 29
2.4 Sampling Formsp. 33
2.4.1 Uniform Samplingp. 33
2.4.2 Nonuniform Samplingp. 35
2.4.3 Nonuniform Recurrent Samplingp. 36
2.5 Wavelet Sampling Theoryp. 37
2.6 Summaryp. 39
3 Modeling of Power Invertersp. 41
3.1 Introductionp. 41
3.2 Sampling-Based Modeling of Single-Phase Invertersp. 43
3.2.1 Nonuniform Sampling-Based Representationp. 44
3.2.2 Reconstructing the Reference-Modulating Signal from Nonuniform Samplesp. 46
3.3 Testing the Nonuniform Recurrent Sampling-Based Model of Invertersp. 51
3.3.1 PWM Inverter Output Voltage for Two Carrier Frequenciesp. 52
3.4 Sampling-Based Modeling of Three-Phase Invertersp. 53
3.5 Summaryp. 62
4 Scale-Based Linearly Combined Waveletsp. 65
4.1 Introductionp. 65
4.2 Scale-Based Linearly Combined Wavelet Basis Functionsp. 66
4.2.1 Balancing the Order of the Scale-Based Linearly Combined Scaling Function ¿(t)p. 70
4.2.2 Scale-Based Linearly Combined Wavelet Function ¿ ¿ (t)p. 72
4.2.3 Construction of Scale-Based Linearly Combined Synthesis Scaling Functions ¿(t)p. 74
4.3 Nondyadic MRA Structurep. 76
4.3.1 MRA for Nonuniform Recurrent Samplingp. 76
4.4 Scale-Based Linearly Combined Scaling Functions for Three-Phase Invertersp. 79
4.5 Summaryp. 83
5 Single-Phase Wavelet Modulated Invertersp. 85
5.1 Introductionp. 85
5.2 Implementing the Wavelet Modulation Techniquep. 85
5.3 Simulated Performance of a Wavelet Modulated Inverterp. 88
5.4 Experimental Performance of a Wavelet Modulated Inverterp. 95
5.5 The Scale-Time Interval Factor ¿p. 101
5.6 Summaryp. 106
6 Three-Phase Wavelet Modulated Invertersp. 107
6.1 Introductionp. 107
6.2 Implementing the Wavelet Modulation Technique for a Three-Phase Inverterp. 108
6.3 Simulated Performance of a Three-Phase Wavelet Modulated Inverterp. 111
6.4 Experimental Performance of a Three-Phase Wavelet Modulated Inverterp. 119
6.5 Summaryp. 127
Appendix A Nondyadic MRA for 3¿ WM Invertersp. 131
A.1 Preliminary Derivationsp. 131
A.2 Time and Scale Localization of MRA Spacesp. 132
Bibliographyp. 135
Indexp. 143