Abstract：A control method based on Lyapunov theory is proposed in this paper in the purpose of ensure the stability operation of the active power filter (APF) under the influence of varying load and system parameters. State equations are constructed by using the tracking error of the compensate current and direct current (DC) capacitor voltage as state vectors and output vectors while the duty ratio of the voltage source inverter (VSI) switching as the input vector. With the state vectors constructing the energetic like Lyapunov function, the input vectors could be determined and thus adapt to the variation, ensuring the convergence of the control process. Considering that the time-varying load may cause significant fluctuations in DC capacitor voltage, an average value of DC capacitor voltage is used in calculation of the control output. The relationship between system parameters and performance is then analyzed to determine the value ranges of system parameters. Rectifier load and DC speed regulating system are tested via Matlab/Simulink. As the results show, the proposed method operates steadily under the conditions of varying load and system parameters, which thus verifies the utility and reliability of the proposed control method.
李兰芳, 杨洪耕, 郭卫明, 刘亚梅. 基于李亚普诺夫方法的有源电力滤波器电流稳定控制[J]. 电工技术学报, 2012, 27(9): 78-86.
Li Lanfang, Yang Honggeng, Guo Weiming, Liu Yamei. Lyapunov-Based Current Stability Control Method of Active Power Filter. Transactions of China Electrotechnical Society, 2012, 27(9): 78-86.
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