不連續電流模式操作之半橋功率因數修正器的數學模型建立

Modeling for Half-Bridge Power Factor Corrector operating in DCM

陳秋文(Chiou-Wen Chen)

指導教授 ： 歐勝源

國立臺北科技大學/電資學院/電機工程系研究所/碩士(2007年)

https://doi.org/10.6841/NTUT.2007.00348

摘要

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。

關鍵字

半橋功率因數修正器 ； 不連續電流模式 ； 連續電流模式 ； 傅立葉級數

並列摘要

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.

並列關鍵字

half bridge power factor corrector ； discontinuous current mode (DCM) ； continuous current mode ； (CCM) Fourier series.

參考文獻

[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。

[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.

[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.