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An Introduction to Wavelet Modulated Inverters
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More About This Title An Introduction to Wavelet Modulated Inverters

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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.
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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.

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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.

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