基于改进自由权矩阵与广义特征值的时滞稳定 上限计算方法研究

提出了一种利用改进自由权矩阵与广义特征值(Generalized Eigenvalue Problem,GEVP)判定系统时滞稳定上限的方法。首先构造一类新的Lyapunov-Krasovskii泛函,并求解该泛函沿系统的导函数。然后,在导函数中加入必要的松散项以降低该方法保守性。在此基础上,利用gevp求解系统的时滞稳定上限。IEEE 4机11节点系统和16机68节点系统时域仿真结果验证了该方法能够有效求解电力系统所能承受的最大时滞。

Research on time-delay upper-bound of power system wide-area damping controllers based on improved free-weighting matrices and generalized eigenvalue problem

A method to determine the time-delay upper-bound of the existing wide-area controller of low frequency oscillation based on improved free-weighting matrix and generalized eigenvalue problem (GEVP) is proposed. Firstly, a new class of Lyapunov-Krasovskii functional is constructed. Secondly, the derivation function along the system is solved. On this basis, necessary loose items are added to the derivation function in order to reduce the conservative, and a set of matrix linear inequalities is formed. Then the upper-bound of delay stability of wide-area controller is solved by means of GEVP. Finally, the time-domain simulation of the IEEE 4-machine 11-bus test system and IEEE 16-machine 68-bus test system demonstrate that the method of solving time-delay stability upper-bound of power system wide-area controller based on improved free-weighting matrices can be applied to different control methods and different types of power systems.