基于模糊推理和李亚普诺夫理论的三相有源电力滤波器控制  

Stability control of the three-phase shunt active power filter based on the fuzzy control and Lyapunov theory

作　　者：李兰芳[1] 杨洪耕[1] 郭卫明[2] 

机构地区：[1]四川大学电气信息学院,四川成都610065 [2]中国南方电网公司超高压输电公司广州局,广东广州510405

出　　处：《电力系统保护与控制》2013年第2期150-155,共6页Power System Protection and Control

摘　　要：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 APE 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.

关 键 词：有源电力滤波器 模糊控制 比例积分控制 李亚普诺夫方法 稳定性 

分 类 号：TM761[电气工程—电力系统及自动化]