三相APF的切换系统建模与状态反馈控制  

Modeling and State feedback Control of Three-phase Active Power Filter on Switched System

作　　者：殷文月 程新功[1] 宗西举[1] 张静亮[1] 

机构地区：[1]济南大学自动化与电气工程学院,济南250022

出　　处：《控制工程》2015年第5期964-968,共5页Control Engineering of China

基　　金：国家自然科学基金(11201179)

摘　　要：功率开关的动作使得三相有源电力滤波器(active power filter,APF)成为一种典型切换仿射系统。因此提出了一种基于切换仿射模型和切换系统全局稳定理论的三相APF的控制方法。首先建立三相APF切换仿射模型,为各个切换子系统选取合适的公共李亚普诺夫(Lyapunov)函数,据此划分各个子系统的运行域,构造基于状态反馈的切换规则保证系统在切换控制下二次稳定,从而实现了电流和电压的统一控制。最后仿真和实验结果与理论分析具有良好的一致性。Three-phase active power filter （APF） is a typical switched affine system for the action of the power switch. The conventional modeling method is based on the linear system theory. Then a novel control procedure for three-phase APF based on switched affine system and quadratic stability is proposed. Firstly, the three-phase APF is built as the switched affine system model. Based on the sufficient condition for the quadratic stability of convex combination, the common Lyapunov function is selected. Then, the active region of the subsystems and switching rules can be defined to assess quadratic stability of the switched system, thus realizing the control of the compensation current and the DC side voltage. Finally, simulation and experimental results have good agreement with the theoretical analysis and demonstrate the validity of this approach.

关 键 词：有源电力滤波器 切换仿射系统 切换控制 统一控制 李亚普诺夫函数 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]