不确定互联电力系统的分散鲁棒控制

摘要

A new approach is proposed to design decentralized robust H_∞ controllers for uncertain interconnected power systems. Value bounded form is introduced to describe uncertainties so that parameter uncertainties can represent engineering practice and simplify controller solving procedure. The solution of controllers is obtained from solutions of a series of matrix inequalities. Homotopy method is applied to solve these matrix inequalities via transforming a nonlinear inequality into two groups of linear inequalities by defining different variables as constants. The test results show that the controllers conform to system robust stability criterion, provide good damping torque to power system oscillations, satisfy the preassigned H_∞ performance index and provide interconnected power systems good ability.%针对不确定互联电力系统,提出了一种分散鲁棒H_∞ 输出反馈控制器的设计方法.为了使参数不确定性符合工程实际和简化控制器的求解,引入数值界的形式对不确定性进行描述.该方法将控制器的设计归结为一组矩阵不等式的求解问题,采用同伦迭代算法,通过固定不同的变量,将非线性矩阵不等式转化为两组线性矩阵不等式并交替求解.仿真结果表明所获得的控制器使得互联电力系统鲁棒稳定,阻尼转矩充足,满足给定的H_∞ 性能指标,并且具有良好的抑制大扰动的能力.