基于双环控制思路的有源电力滤波器H_∞控制  

H_∞ control strategy of active power filter based on dual-loop theory

作　　者：徐金富[1] 张振环[2] 刘会金[1] 李卓[1] 王建勋[1] 

机构地区：[1]武汉大学电气工程学院,湖北武汉430072 [2]中国电力科学研究院,北京100192

出　　处：《电力自动化设备》2009年第12期41-47,共7页Electric Power Automation Equipment

摘　　要：应用平均化建模的方法,建立了考虑外界干扰的有源电力滤波器(APF)系统的平均化模型。根据直流侧电容电压响应速度远远慢于输出电流响应速度(两者的响应在时间轴上分离),将控制器设计为电流环与电压环2个部分。电压环控制采用PI控制方法设计,而在电流环设计时将APF非线性系统进行简化,进而设计H_∞控制器。最后利用极点配置对闭环系统的收敛速度进行定性配置。该控制器的设计考虑了系统参数摄动及外界干扰的不确定性,使控制器具有较强的鲁棒性;设计时从系统的状态平均化模型出发,物理意义清晰,设计思路合理,针对一般H_∞控制器设计需求解Riccati方程的不足,对矩阵进行归一化然后利用LMI工具箱简化控制器求解,易于在工程中实现。仿真与实验结果验证了控制器设计方法的正确性和有效性。An averaged APF（Active Power Filter） model is established with the consideration of exogenous disturbances. As the response of DC capacitor voltage is much slower than that of output current,the designed APF controller has two parts：current control loop and voltage control loop. The PI controller is applied in the voltage control loop and the H∞ controller based on simplify system in the current control loop. Pole placement is used to guarantee the convergence speed of closed loop system. With the consideration of exogenous disturbances and parametric perturbations,the proposed control scheme has better robustness. The design is based on the averaged state model with clear and rational physical significance. After matrix normalization,the LMI workbox is used to get the solution of Riccati equations in the design of H∞ controller,which is easy to be implemented in practice. The simulative and experimental results show it correct and effective.

关 键 词：有源电力滤波器 H∞制 极点配置 归一化 线性矩阵不等式 

分 类 号：TN713[电子电信—电路与系统]