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研究生： 黃清龍
Ching-long Huang
論文名稱： 特定諧波消除用於以曲折繞接線變壓器為基礎之多階層變流器
Selective Harmonic Elimination for a Multi-level Inverter Based on Zig-Zag Connected Transformer
指導教授： 楊宗銘
Chung-Ming Young
口試委員: 賴炎生
Yen-Shin Lai
羅有綱
Yu-Kang Lo
學位類別： 碩士
Master
系所名稱： 電資學院 - 電機工程系
Department of Electrical Engineering
論文出版年： 2010
畢業學年度： 98
語文別： 英文
論文頁數： 112
中文關鍵詞： 選擇諧波消除脈波寬度調變 、曲折繞接式變壓器 、總諧波失真 、加權總諧波失真
外文關鍵詞： SHEPWM, zig-zag connected transformer, THD, WTHD
相關次數： 點閱：278  下載：1 
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    • 本文應用選擇諧波消除脈波寬度調變技術 (SHEPWM) 計算一變流器系統之開關切換角度，並結合一曲折繞接式 (zig-zag) 變壓器於變流器之輸出端。本文之選擇諧波消除波形規劃為半波對稱波形。不同於四分之一對稱波形，半波對稱波形在計算上負擔雖更為沉重，卻能提供較多的解並有機會獲得更佳的解。歸因於選擇諧波消除技術可直接的控制特定諧波成份，因此適用於對特定諧波成份具有抑制能力的設備，如曲折繞接式變壓器。本文中以第35次與第37次諧波振幅大小、總諧波失真 (THD) 與加權總諧波失真 (WTHD) 三種標準分別選擇適當的基本波位移角度。基於曲折繞接式變壓器之特性， 次以外之諧波成份並不會呈現至變壓器之二次側，因此選擇諧波消除技術規劃為消除第11次、第13次、第23次與第25次諧波並控制基本波之振幅與相位。最後，根據上述之規範，本文建立一小型系統驗證其可行性與正確性。

    關鍵詞: 選擇諧波消除脈波寬度調變、曲折繞接式變壓器、總諧波失真、加權總諧波失真。

    This thesis applies the selective harmonic elimination pulse width modulation (SHEPWM) technique to determine the switching angles for an inverter system that is cooperated with special connected transformer called zig-zag connected transformer. The half-wave symmetry of SHEPWM is used to shift the phase of the fundamental in this thesis. Unlike quarter-wave symmetry, half-wave symmetry needs more calculation burdens than quarter-wave symmetry, but it provides wider solution space and better solutions. Attributed to directly controlling harmonics, SHEPWM technique has the adaptability to associate with apparatus which is congenitally immune to specific harmonics, such as the zig-zag connected transformer. In this thesis, three criteria are used to choose the suitable phase of fundamental, which are the amplitude of harmonics with order equal to 35 and 37, total harmonic distortion (THD) and weighted total harmonic distortion (WTHD). Prohibited by the transformer, harmonics with orders other than ( ) will not appear in the line-to-line voltage of the secondary side. Then, SHEPWM technique with half-wave symmetry is employed to eliminate harmonics with order equal to 11, 13, 23, and 25, and controls the amplitude and the phase of the fundamental. Finally, based on specification described above, a 4kVA prototype is built to verify the practical validity of the propose system.

    Keywords: SHEPWM, zig-zag connected transformer, THD, WTHD.

    摘要 I Abstract II Acknowledgements III Table of Contents IV List of Figures VI List of Tables X Chapter 1 Introduction 1 1.1 Background and motivation 1 1.2 Objective of the thesis 3 1.3 Organization of the thesis 5 Chapter 2 Zig-zag connected transformer and three-phase inverter 6 2.1 Introduction 6 2.2 Analysis of the zig-zag connected transformer 7 2.3 The three-phase inverter 13 Chapter 3 Selective harmonic elimination strategies 16 3.1 Introduction 16 3.2 Fourier series expansion 16 3.2.1 The limitation of selective harmonic elimination with quarter-wave symmetry 19 3.2.2 The limitation of selective harmonic elimination with half-wave symmetry 22 3.3 Numerical analysis 28 3.3.1 Newton-Raphson Method 28 3.3.2 Newton-Raphson Method for selective harmonic elimination solved by using Matlab 30 3.4 Selection of fundamental phase shift angle 39 3.4.1 Minimizing 35-th、37-th harmonics with fundamental phase shift angle 39 3.4.2 Minimizing THD% with fundamental phase shift angle 42 3.4.3 Minimizing weighted THD% with fundamental phase shift angle 44 3.4.4 The suitability fundamental phase shift angle 47 3.5 On-line calculation through approximated polynomials 52 3.5.1 The least-squares method 52 3.5.2 Analysis of the approximation with single high order polynomials 55 3.5.3 Approximation with piecewise 2-order polynomials 62 Chapter 4 Hardware configuration and software programming 65 4.1 Introduction 65 4.2 Hardware configuration 66 4.2.1 Digital signal processor (DSP) 66 4.2.2 The related devices and peripheral circuits of the system 67 4.3 Software programming 70 4.3.1 The I/O port pins and interrupts 70 4.3.2 Voltage compensation processing 72 4.3.3 Program designing with flow charts 72 Chapter 5 Simulation and experimental results 79 5.1 Introduction 79 5.2 Development and realization of the simulation system 79 5.3 The simulation results and experimental results of the system 84 Chapter 6 Conclusion 97 Appendix A The coefficients of piecewise 2-order approximated polynomials 99 References 108

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