臺灣博碩士論文加值系統

電力供應系統的電力品質乃是取決於功率因數的高低，愈高的功率因數表示電源的可用性愈高。功率因數修正技術可分為連續與不連續模式控制，而不連續模式控制具有控制簡單、不需斜率補償、具有零電流切換及無二極體逆向回復問題等優勢。
本論文以半橋式功率因數修正器為主要架構，對其操作在不連續模式做一系列的數學分析。根據電路之動作原理，推導出不連續電流的條件及輸出電壓等公式；藉由離散取樣模型計算輸入電流有效值和傅立葉級數展開之各項係數，藉以得到輸入電流基本波有效值，進而取得功率因數數學公式。最後以實際製作之硬體電路驗證所推導的公式是具有一定可信度的。

The quality of the power system is related to the power factor. The power factor correction technology includes discontinuous current mode (DCM) control and continuous current mode (CCM) control. Power factor correctors converter operating in DCM have some advantages, such as simpler control, zero-current switching and the elimination of reverse recovery loss in the diode…etc.
Studies and analysis of the half-bridge AC/DC converter using discrete waveform modeling are presented in this thesis. The discontinuous current mode (DCM) condition is discussed. The voltage gain and the power factor are expressed as functions of the circuit parameters, including the duty ratio, switching frequency, input inductance and the load resistance. The spectrum of input current is obtained by Fourier series expansion to verify the derived voltage gain and the power factor formulas. Experimental results show good conformation with the theoretical data.

中文摘要 i
英文摘要 ii
誌謝 iii
目錄 iv
表目錄 vi
圖目錄 vii
第一章 緒論 1
1.1 研究動機 1
1.2 功率因數修正器 2
1.3 研究方法 4
1.4 論文架構 4
第二章 功率因數修正電路介紹 5
2.1 功率因數的探討 5
2.2 升壓型功率因數修正電路介紹 6
2.3 不連續電流模式之優缺點 14
2.4 雙開關半橋式功因修正電路之電路分析 15
2.5 雙開關半橋式功因修正電路之動作模式選取 27
第三章 電路架構之數學式推導 29
3.1 前言 29
3.2 電路動作之原理 29
3.3 電路分析之對策 32
3.4 不連續電流模式之條件推導 34
3.5 值公式推導 37
3.6 輸入電流有效值之推導 41
3.6.1輸入電流函數表示 41
3.6.2輸入電流有效值 42
3.7 功率因數之推導 45
3.7.1理想電路的能量不滅原理推導功率因數 45
3.7.2傅立葉級數展開式推導功率因數 46
第四章 電路實驗與公式計算之結果 66
4.1 不連續電流之條件 66
4.2 輸出電壓公式之驗證 70
4.3 功率因數與輸入電流基本波有效值之公式驗證 76
4.4 輸入電流之頻譜與電流總諧波失真 79
4.4.1 輸入電流之頻譜 79
4.4.2 電流總諧波失真 83
第五章 結論與未來展望 85
5.1 結論 85
5.2 未來展望 85
參考文獻 86
符號表 89

[1] 王順忠譯，電力電子學，台北市：台灣東華書局股份有限公司，民國87年。
[2] 邱煌仁，基於輸入電流斜率法之功率因數修正技術，博士論文，國立台灣科技大學，台北市，民國89年。
[3] Z. Yang and P. C. Sen, “Recent developments in high power factor switch-mode converters” IEEE CCECE Conf. , Vol. 2, 24-28 May 1998. Page(s):477 – 480.
[4] H. Wei and I. Batarseh, “Comparison of basic converter topologies for power factor correction ”, Southeastcon. Proceedings. IEEE, 24-26 April 1998 Page(s):348 – 353.
[5] 何金澤，半橋式升壓型功率因數修正器輸出電壓不平衡抑制策略，博士論文，國立台灣科技大學，台北市，民國95年。
[6] R. Srinivasan and R. Oruganti, “A unity power factor converter using half-bridge boost topology,” IEEE Trans. Power Electronics, vol. 13, no. 3, 1998. Page(s):487 – 499.
[7] Y. K. Lo, S. Y. Ou and H. J. Chiu, “On evaluating the current distortion of the single-phase switch-mode rectifiers with current slope maps,” IEEE Trans. Ind. Electronics, vol. 49, no. 5, Oct. 2002. Page(s):1128 – 1137.
[8] B. R. Lin and T. L. Hung, “Single-phase half-bridge converter topology for power quality compensation,” Proc. Inst. Elect. Eng., pt. B, vol. 149, no. 5, Sep. 2002. Page(s):351 – 359.
[9] T. Yoshida, O. Shizuka, O. Miyashita and K. Ohniwa, “An improvement technique for the efficiency of high-frequency switch-mode rectifiers,” IEEE Tran. Power Electronics, vol. 15, no. 6, Nov. 2000. Page(s):1118 – 1123.
[10] R. Redl and B. P. Erisman,“ Reducing distortion in peak-current-controlled boost power-factor correctors ” Proc. IEEE APEC., vol. 2, 1994. Page(s):576– 583.
[11] 歐勝源，操作在不連續電流模式下的升壓型功率因數修正器之大信號分析，碩士論文，國立台灣科技大學，台北市，民國87年。
[12] N. Mohan, T. M. Undeland, and W. P. Robbins, “Power Electronics: Converters, Application and Design,” 2nd edition, John Wiley & Sons, INC, New York, 1995.
[13] C. H. Chan and M. H. Pong, “Input current analysis of interleaved boost converters operating in discontinuous-inductor-current mode,” Proc. IEEE 28th PESC., vol. 1, May 1997. Page(s):392– 398.
[14] D. Simonnetti, J. Sebastian, J. A. Cobos, and J. Uceda, “Analysis of the conduction boundary of a boost PFP fed by universal input,” Proc. IEEE PESC., 1996. Page(s):1204– 1208.
[15] 羅有綱，“不連續電流模式功率因數修正器控制方法”，中華民國專利，發明專利公開號200428736，2004。
[16] Y. K. Lo, S. Y. Ou and T. H. Song, “Varying duty cycle control for discontinuous conduction mode boost rectifiers” Proc. IEEE PEDS., 2001. Page(s):149– 151.
[17] Y. K. Lo, J. Y. Lin and S. Y. Ou, “Switching-frequency control for regulated discontinuous-conduction-mode boost rectifiers” IEEE Trans. Ind., vol. 54, no. 2, April 2007. Page(s):760– 768.
[18] K. H. Liu and Y. L. Lin, “Current waveform distortion in power factor correction circuits employing discontinuous-mode boost converters,” Proc. IEEE PESC., 1989. Page(s):825– 829.
[19] Jian. Sun, and Vinod. Rajasekaran, “ DCM analysis and modeling of half-bridge converters with current-doubler rectifier,” Proc. IEEE PESC, vol. 1, 2001. Page(s):384– 389.
[20] E. Van Dijk, J. N. Spruijt, D. M. O’Sullivan and J. B. Klaassens, “PWM-switch modeling of DC-DC converter,” IEEE Trans. Power Electronics, vol. 10, no. 6, Nov. 1995. Page(s):659– 665.
[21] D. F. Weng and S. Yuvarajan, “Constant-switching-frequency AC-DC converter using second-harmonic-injected PWM,” IEEE Trans. Power Electronics, vol. 11, January 1996. Page(s):115– 121.
[22] R. M. F. Neto, F. L. Tofoli and L. C. de Freitas, “A high-power-factor half-bridge doubler boost converter without commutation losses,” IEEE Trans. Ind. Electronics, vol. 52, no. 5, Oct. 2005. Page(s):1278– 1285.
[23] A. T. Tien編著，Mathcad 12輕鬆Run ，台北市：網奕資訊科技股份有限公司，民國94年。
[24] 林瑞禮編著，電力電子功率因數矯正技術，教學手冊，國立成功大學，民國94年。
[25] 陳連春編譯，雜訊解析與對策，增訂版，建興出版社，台北市，民國81年。