负载和参数变化带来有源电力滤波器(Active Power Filter,APF)精确数学模型难以获得和系统稳定性问题。针对该问题,分别在 APF 的直流电压控制中引入模糊比例积分(Proportional-Integral, PI)控制器,在电流控制中引入基于李亚普诺夫稳定性理论的控制方法,保证了APF 的控制精度和稳定性。首先通过对直流侧电压误差和误差变化率进行模糊 PI控制得到源电流参考值的幅值,再结合源电压的角频率计算参考电流,最后采取李亚普诺夫方法设计 APF 的开关函数,通过确保能量函数的导数始终为负来保证系统的全局稳定。通过 Matlab/Simulink 分别对四种控制方法进行对比实验,在负载和系统参数变化的情况下,应用该方法的控制效果最好。%With the change of the load and parameters, Active Power Filter (APF) usually appears unstable and its exact mathematical model is quite difficult to determine. This study is to introduce fuzzy PI (Proportional-Integral, PI) controller and Lyapunov-based stability theory into the Direct Current (DC) side voltage control and current control of three phase shunt APF, aiming to guarantee the precision and stability of APF. By applying fuzzy PI controller to the error and error changing rate of the DC side voltage, the reference value of source current amplitude is achieved and combined with the angle frequency acquired from the source voltage to attain the current reference. The switching function of the APF is then designed by introducing Lyapunov stability theory. When assuring the derivative of energetic like Lyapunov function negative, the globally stability can be guaranteed. Through comparative tests of four different control methods using Matlab/Simulink, the results of the proposed method prove to be the best under the circumstances of varying load and system parameters.
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