昇壓型主動式功率因數修正器之強健性能分析

Robust Performance Analysis for Boost Active Power Factor Correctors

彭景琪(Ching-Chi Peng)

指導教授 ： 曾傳蘆

國立臺北科技大學/機電學院/電機工程系所/碩士(2005年)

摘要

本論文推導昇壓型主動式功率因數修正器(Active Power Factor Correctors)之電路模型，並利用強健控制裡所提到的結構性奇異值(Structure Singular Value, SSV)來討論轉換器的性能指標。首先利用能量守恆定理由開路昇壓型轉換器的小訊號等效電路中，推導出含寄生元件效應之小訊號轉移函數，包括聲頻感受度、輸出阻抗及輸入阻抗。由於元件容易因老化、外在因素的影響下，使得元件數值產生微小變動，進而對系統造成未知的影響。所推導的電路模型，將可應用於分析元件變動的影響。
接著使用線性分式轉換(Linear Fractional Transformation, LFT)將對電路特性具有影響之性能指標，如共軛極點、輸出阻抗之直流響應值、以及補償器的極零點轉換成一LFT的數學模型。接著引入結構性奇異值的觀念，討論當這些性能指標產生變動的時候，在允許的指標變動範圍之下，計算出元件所能容許產生的誤差範圍。

關鍵字

功率因數修正器 ； 輸出阻抗 ； 線性分式轉換

並列摘要

In this thesis, we derive the mathematic model of Active Power Factor Corrector (PFC), and we investigate the robustness of performance indices of PFC using Structured Single Value (SSV) which is developed in robust control theory.
First, we derive the small signal transfer function including parasitic elements effects from the small signal circuit of open loop boost converter by means of the principle of energy conservation. Audiosusceptibility, output resistance and input resistance are considered. The value of elements would change due to the using time, aging, or other environment factors, it would affect the system uncertainly.
Moreover, we use Linear Fractional Transformation (LFT) to convert the effective performance indices, which includes conjugate poles, the DC value of output resistance, and the zeros/poles of compensator, of the circuit into the LFT mathematic models.
Finally, structured singular value is used to analyze the admissible error range of element values when performance indices changes.

並列關鍵字

PFC ； Output Impedance ； Linear Fractional Transformation

參考文獻

[1] V. Vlatkoyic, D. Borojevic , and F. C. Lee, “Input filter design for power factor correction circuits,” IEEE Transactions on Power Electronics, Vol. 11, Jan 1995, pp 199-205.

[2] J. M. Zhang, X. G. Xie , and D. Z. Jiao, “Stability problems and input impedance improvement for cascaded power electronic systems,” Proceeding of the IEEE Nineteenth Annual Applied Power Electronics Conference and Exposition, California, Vol. 2, 2004, pp. 1018-1024.

[3] B. R. Lin and T. Y. Yang, “Single-phase half-bridge rectifier with power factor correction,” Proceeding of the Electric Power Applications, Vol. 151, July 2004, pp. 443-450.

[4] R. Sriniyasan and R. Oruganti, “A unity power factor converter using half-bridge boost topology,” IEEE Transactions on Power Electronics, Vol, 13, May 1998, pp. 487-500.

[5] J. C. Crebier and J. P. Ferrieux, “PFC full bridge rectifiers EMI modeling and analysis-common mode disturbance reduction,” IEEE Transactions on Power Electronics, Vol. 19, March 2004, pp. 378-387.