基于切换系统的三相APF建模与H∞控制  

Modeling and H_∞ Control of Three-Phase APF Based on Switched System

作　　者：丁青青[1] 汤洪海[2] 戎袁杰[2] 焦飞[1] 

机构地区：[1]清华大学电机系,北京100084 [2]清华大学自动化系,北京100084

出　　处：《电工技术学报》2008年第4期125-131,共7页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(69774011和60433050)

摘　　要：为研究具有典型混杂动态特性的三相APF高性能控制问题,首先基于PWM调制原理将三相APF的混杂系统模型转化为包含切换开关动态的线性系统,经在平衡流形邻域近似线性化后得到以脉宽为输入函数的线性等效离散系统,最后对该线性离散系统设计了满足一定干扰抑制指标并能实时跟踪补偿指令电流的H_∞控制器。该控制器以PWM脉宽作为控制量,避免了以往对周期平均模型进行控制器设计时的等效占空比环节,物理意义清晰,设计更加合理,在工程应用中易于实现,具有潜在的应用价值。仿真结果验证了所提系统模型和控制器设计方法的正确性和有效性。The high performance control of three phase active power filter （APF） with hybrid dynamics is investigated in this paper. First, the hybrid dynamic model of APF is transformed to a equivalent discrete linear systems （EDLS） based on the pulse-width modulator （PWM） theory. Then, the EDLS is further transformed to a linear equivalent discrete linear system by linearization at some neighborhood of the equilibrium manifold with respect to the pulse width. Finally a H∞ controller is designed with on-time tracking property, where, in order to avoid the equivalent duty cycle treatment in the conventional controller design, the pulse width is adopted as the control variables. The proposed control scheme has clearer and more rational physical significance and can be easily adopted in practice. Simulation results illustrate the effectiveness of the proposed SPAPF model and the control strategy.

关 键 词：有源电力滤波器 切换系统 脉冲宽度调制 H∞控制 

分 类 号：TM76[电气工程—电力系统及自动化]