一类互联电力系统的部分联结稳定性分析

摘要

文章研究了一类互联电力系统的部分联结稳定性的问题。该系统的各个子系统可以独立分解，并具有不确定结构的扰动输入，其各个孤立子系统可能是稳定的，或是不稳定的。文中结合基本互联矩阵、互联矩阵等概念，引入了互联电力系统部分联结稳定性的定义；利用标量与向量Lyapunov函数法、范数、矩阵等理论知识，依据Lyapunov稳定性理论，并使用LMI方法，给出一个互联电力系统的部分联结稳定性的充分条件。最后，给出一个实例，并进行数值仿真，其结果说明了文中结论的有效性和可行性。%　　In this paper, the connective stability problems with respect to partial states are investigated for a class of large-scale interconnected power systems. Each subsystem of the large-scale system is decomposed independently and takes on uncertain structural perturbation. Each corresponding isolated subsystem can be stable or instable. The definitions of connective stability for partial states of the large-scale interconnected power systems are mentioned, combining with the concept of basic interconnected matrix and interconnected matrix. According to Lyapunov stability theories, a sufficient condition of connective stability for partial states of the interconnected power systems is established by using scalar and vector Lyapunov function methods, the properties of norms, theory of matrices, and so on. At last, a value simulation of illustrative example is given to demonstrate the validity and feasibility of the proposed conclusion.