現今交流/直流/交流轉換器架構經常被用在可調整輸出電壓大小及頻率的可調速驅動器(ASD)，此種驅動器一般是由前端為交流電壓轉成直流電壓的三相橋式整流器及直流電壓轉成交流電壓的電壓源型變流器(VSI)所組成，而此橋式整流器會在電源端會產生很高的電流諧波。在此論文中提出電壓源型可調速驅動器於系統穩態時注入電源系統中之完整的電流諧波解析法，經由實測與MATLAB/Simulink時域模擬結果作比較，可發現本文中所提出之解析方法，在不失去準確度及計算效率的情形下，此方法仍可有效得到可調速驅動器注入到電源系統中之電流諧波及間諧波的影響。

Applications of solid-state converters for adjustable speed drives (ASDs) are popular in industrial systems. The AC/DC/AC conversion system, frequently used to provide ac voltages with adjustable frequency/magnitude in the ASDs, consists of a voltage source inverter (VSI) fed by a three-phase diode-bridge rectifier, which generates significant amount of line harmonic and interharmonic currents into the supply system and may cause undesired effects on other power system components. This dissertation presents an analytical approach to characterize the current harmonics and interharmonics of the VSI-fed ASD injected into the supply system in steady state, where the circuit models for the rectifier, the dc link, the PWM inverter, and the ac motor are considered in the analysis. The accuracy of the results obtained by the proposed model is demonstrated by comparing with results obtained by using the time-domain simulation tool, Simulink of Matlab. It is shown that the proposed approach is effective to characterize current harmonics and interharmonics generated by the ASD, while the solution accuracy and the computational efficiency are still maintained.

Table of Contents

Acknowledgment I
Chinese Abstract II
Abstract III
Table of Contents IV
List of Figures VII
List of Tables X

Chapter 1 Introduction 1

Chapter 2 Harmonics versus Interharmonics 6
2.1 Harmonics and Interharmonics Theories 6
2.2 Sources and Impacts of Harmonics and Interharmonics 8
2.2.1 Harmonic Sources 8
2.2.2 Interharmonic Sources 10
2.2.3 Impacts of Harmonics and Interharmonics on Power
System Components 12
2.3 IEEE 519-1992 Harmonic Limits 14
2.4 IEC 61000-3-6 Harmonic Limits 16
2.5 IEEE versus IEC Harmonic Standard 19

Chapter 3 Double Fourier Series and Modulation Method 22
3.1 Double Fourier Series 22
3.2 Modulation Method 25
3.3 Spectra of Duration-Modulated Pulses 26
3.3.1 Method of Analysis 26
3.3.2 Pulses with Trailing Edge Modulated 31
3.3.3 Pulses with Leading Edge Modulated 34
3.3.4 Pulses with Both Edges Modulated 35

Chapter 4 Analytical Approach for VSI-Fed ASD Operated under Ideal Supply Conditions 36
4.1 Operating Principles of the PWM VSI-Fed ASD with Simplified Model 37
4.1.1 AC/DC Diode-Bridge Rectifier Converter 37
4.1.2 DC/AC PWM Inverter 38
4.2 Harmonic Analysis of the VSI-Fed ASD under Ideal Supply
Conditions 40
4.2.1 Modulation Process of the PWM Inverter Represented by Double Fourier Series 40
4.2.2 Proposed Approach for the VSI-fed Adjustable Speed
Drive System 44

Chapter 5 Analytical Approach for VSI-Fed ASD Operated under Non-ideal Supply Conditions 48
5.1 Operating Principles of the PWM VSI-Fed ASD with Detailed Model 49
5.1.1 AC/DC Diode-Bridge Rectifier Converter with Commutation Effect 49
5.1.2 DC/AC PWM Inverter with State Space Modeling of Induction Motor 52
5.2 Proposed Approach for the VSI-fed ASDs Operating Under Non-ideal Supply Conditions 56

Chapter 6 Simulation and Laboratory Test Results 60
6.1 Simulated Circuit of the PWM VSI-Fed ASDs by Using Matlab/Simulink 60
6.2 Laboratory Test System Setup 61
6.3 Simulation and Laboratory Test Results for the VSI-Fed ASDs Operated under Ideal Supply Conditions 64
6.4 Simulation and Laboratory Test Results for the VSI-Fed ASDs Operated under Non-ideal Supply Conditions 71

Chapter 7 Conclusions and Future Work 80

References 82
Appendix A: Proof of the PWM Inverter Switching Functions 90
Vita 94

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