时变时滞电力系统稳定性分析

Stability Analysis of Power Systems with Time-Varying Delays

文章对于含时变时滞电力系统的稳定性问题进行了分析。首先,构建一种新的Lyapunov-Krasovskii泛函,然后利用一种逆凸不等式放缩泛函求导后的积分项,运用Schur补定理得到含时变时滞电力系统的稳定判据。最后,文章以典型二阶时滞系统、四机11节点系统为例,验证了所提方法的优越性。

This paper is concerned with stability of power systems with time-varying delays.First,structuring a new Lyapunov–Krasovskii functional,then using a reciprocally convex inequality to address the integral item from the derivative of the functional,a stability criterion for time-varying delays power systems can be obtained by applying the Schur theorem and employing the proposed functional and the new reciprocally convex inequality.Finally,taking examples of the typical second-order time-delay systems and four-machine 11-bus power system to verify the superiority of the proposed approach.