基于积分不等式的多时滞电力系统稳定性分析

Stability analysis of multiple time-delay power system based on an integral inequality

为了讨论多时滞电力系统的稳定性问题,首先构造合适的L-K泛函,区别于其他文献,本文去掉部分矩阵对称正定条件,利用自由矩阵F-M-B积分不等式处理L-K泛函导数积分项的定界问题,得到基于线性矩阵不等式LMI的稳定性判据。判据的优点在于具有更小的保守性和计算复杂度。借助典型的二阶时滞电力系统进行仿真实验,结果表明,本文判据得到的稳定裕度较相关文献有显著的改进。

In order to discuss the stability of multi-delay power systems,a suitable LK functional was first constructed.Different from other literatures,this work removed some symmetric positive definite conditions of the matrix,and used the free matrix FMB integral inequality to deal with the delimitation of the integral term of the LK functional derivative.The stability criterion based on the linear matrix inequality LMI was ob-tained.The advantage of the criterion is that it has less conservatism and computational complexity.Simulation experiments were carried out with the help of a typical second-order time-delay power system,and the results show that compared with the related literatures,the stability margin obtained by our criterion is significantly improved.