电力系统改进时滞依赖型稳定判据

给出一种改进的基于Lyapunov理论的电力系统时滞稳定分析方法。首先基于Krasovskii理论列解系统的Lyapunov泛函，然后将泛函对时滞系统轨迹的导函数用一组线性矩阵不等式（LMI）表示，在泛函导数推导过程中，通过引入一些必要的松散项以减少方法的保守性。最后，借助典型2阶时滞系统和WSCC 3机9节点系统，验证了所述方法的有效性，并与自由权矩阵方法进行了比较和讨论。

An Improved Delay-dependent Stability Criteria for Power System with Multiple Time Delays

An improved delay-dependent stability criterion for power system with multiple time-delays is presented. In this method, a Lyapunov function is constructed based on Lyapunov-Krasovskii theory. To reduce the conservativeness of the method, some necessary slack variables are introduced to its derivative function. The derivative function is then expressed as a set of Linear Matrix Inequalities (LMI), which can be solved by the LMI toolboxes. A typical two-dimensional time-delayed system and the WSCC 3-generator-9-bus system are employed in the case study. The results reveal the validity and effectiveness of the presented method.