過去大部分並聯式主動濾波器常用的控制器為比例積分微分控制器。當控制器的參數為固定情況下，面臨不同負載變化時此時控制器的參數可能必須經過重新調整，更不用說當負載是非線性負載的情況下。關於比例積分微分控制器在並聯式主動電力濾波器所發生的問題，本文使用參考模型適應性控制方法，應用於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。本文所採用的並聯式主動電力濾波器，其目的是來追蹤補償電流使得輸入電流為正弦波並與市電同相。由於並聯式主動電力濾波器為雙線性系統難以分析其系統穩定性，因此利用一般線性化的方式，將雙線性系統於以線性化，並解決穩定度的問題。此外，根據Lyapunov穩定理論與Barbalat定理設計出保證系統的漸進穩定。最後以實驗來證明本論文所提出的控制方法之可行。並使用定點式數位訊號控制器來實現控制法則，以改善系統的可靠度、功率因數、電流諧波與降低成本。經實驗證明，本系統可以達到高功率因數之預期目標。

In the past, most shunt active power filter uses proportional plus integral and differential (PID) control. When using fixed-gain PID controllers, it is necessary to retune them for different operation condition. In view of the above mentioned problems of PID controlled shunt active power filter, an adaptive control for a single-phase shunt active power filter, which uses the model reference adaptive control (MRAC) approach, is proposed to improve line power factor and to reduce line current harmonics. The proposed shunt active power filter is to control the supply current to be a sinusoidal wave with low current harmonics and in phase with the line voltage. Since the shunt active power filter is a bilinear system, it is hard to analysis of the stability of the system. This paper will solve the stability problem by linearizating the system. Besides, using Lyapunov stability theory and Barbalat’s Lemma, an adaptive law is designed to guarantee asymptotical stability for the system. The control law is implemented through a fixed-point digital signal processor (dsPIC30F4012). Finally, experimental results show that the system performance, such as power factor and total harmonic distortion, has been much improved.

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