以LMI為基礎的主動式電力濾波器之T-S模糊控制器設計

T-S Fuzzy Controller Design Based on LMI for a shunt Active Power Filter System

吳東益(Dong-Yi Wu)

指導教授 ： 徐國鎧

國立中央大學/資訊電機學院/電機工程學系/碩士(2007年)

摘要

本論文主要針對諧波改善提出解決方法，過去並聯式主動濾波器常用的控制器為比例積分微分控制器，當控制器的參數面臨不同負載變化時，控制器的參數可能必須經過重新調整。因此本文提出T-S模糊控制方法，應用於單相並聯式主動電力濾波器，以改善功率因數與減少輸入電流諧波，另外所採用的並聯式主動電力濾波器，其目的是降低電流諧波使得輸入電流為正弦波並與市電電壓同相。T-S模糊模型控制器的設計是藉由平行分佈補償器的設計方法，其中穩定的控制器回授增益值與共同之正定矩陣，乃基於李亞普諾夫穩定定理為基礎，最後藉由線性矩陣不等式求解，以確保每個子系統均能滿足李亞普諾夫不等式。最後以模擬與實驗結果證明本論文所提出的控制方法之可行性，的確能夠改善功率因數與降低電流諧波。

關鍵字

主動式電力濾波器 ； 功率因數 ； T-S模糊控制器 ； 電流諧波

並列摘要

This thesis offers an effective solution which mainly improves the harmonic problem of active power filter. In the past, most shunt active power filters use proportional integral and differential (PID) controller. When using fixed-gain PID controllers, it is necessary to retune the parameters for different operation conditions. Therefore, we propose a T-S fuzzy controller for a single-phase shunt active power filter to improve line power factor and reduce line current harmonics. Furthermore, the capability of shunt active power filter is able to control the supply current to be a sinusoidal wave with low current harmonics and in phase with the line voltage. The T-S fuzzy modeling and the so-called parallel distributed compensation is employed to design fuzzy controllers from the T-S fuzzy models. For the designed fuzzy control systems based on Lyapunov stability theory, the problem of finding stable feedback gains and a common Lyapunov function are solved by linear matrix inquality. Finally, simulation and experimental results show that the system performance, such as power factor and total harmonic distortion, has been much improved.

並列關鍵字

power factor ； current harmonics ； T-S fuzzy controller ； Active power filter

參考文獻

[4]黃政雄，”用於電信電源系統諧波改善之主動電力濾波器”，私立中原大學電機所碩士論文，民國93年6月。

[2]B. Singh, K. Al-Haddad and A. Chandra, “A review of

active filters for power quality improvement,” IEEE Trans. Ind. Electron., vol. 46, pp. 960-971, Oct. 1999.

[5]F. Pottker and I. Barbi, “Power factor correction of nonlinear load employing a single phase active power filter: Control strategy, design methodology and experimentation,” in Proc. PESC’97 Rec. 28th Annu. IEEE Power Electron. Spec. Conf., 1997.

[6]H. Akagi, “New trends in active filter for improving power quality,” in Proc. 1996 Int. Conf. Power Electron., Drives Energy Syst. Ind. Growth..