基于H_∞控制的单机无穷大电力系统输出反馈控制器设计

Output feedback controller design for a single-machine infinite-bus power system based on H∞control

为了采取有效控制策略以提高电力系统的稳定性,研究了基于单机无穷大(single-machine infinite-bus,SMIB)电力系统的H_∞输出反馈控制器设计问题。首先,基于电力系统基本方程建立了SMIB电力系统状态空间数学模型;接着,研究了输出反馈H_∞控制问题求解方法;最后,基于具体的SMIB控制对象设计了H_∞输出反馈控制器。实例仿真结果表明,在系统受到脉冲扰动时,加入次优H_∞控制器的SMIB电力系统相对于未施加控制的电力系统其振荡幅度峰值从0. 177降为0. 002,响应达到稳态的时间从3 s减小到2 s,说明系统的稳定性更高。

In order to adopt effective control strategy to improve power system stability,the design problem of H∞output feedback controller based on single-machine infinite-bus(SMIB) power system is discussed. First,the state space mathematical model of SMIB power system is studied and established based on fundamental equations of power system. Then,the solving method of output feedback H∞control problem is studied. Finally,the H∞output feedback controller is designed based on a specific SMIB power system control object. The results of a simulation example show that when the system is subjected to impulsive disturbance,the oscillation amplitude peak of the SMIB power system with suboptimum H∞controller decreases from 0. 177 to 0. 002,and the response time drops from 3 s to 2 s for a steady state system by comparing with the uncontrolled power system,which indicates that the system has higher stability.