电力系统稳定域确定及算法特性研究

针对传统的稳定域确定方法保守性强的缺点，提出基于流形理论计算电力系统的稳定域. 将稳定平衡点稳定边界上的所有I型不稳定平衡点的稳定流形作为稳定边界，主要思路如下：对非线性电力系统进行求解，得到所有的平衡点；通过轨道弧长法，得到各个I型不稳定平衡点的稳定流形；将各个稳定流形的并集作为系统的稳定边界. 以单机无穷大系统作为案例进行仿真验证，分别同蒙特卡洛方法及可达集理论方法确定稳定域进行对比. 研究结果表明，利用流形理论可以用于求解高维数电力系统的稳定域，具有较高的精度.

Study on stability region determination and algorithm characteristics of power system

A new method based on manifold theory method was proposed in order to solve the shortcomings of strong conservatism in calculating the stability region of power system by conventional method. The stability boundary of dynamic system consists of the union of the stable manifolds of all I type unstable equilibrium points on the stability boundary. All the equilibrium points were obtained by solving a nonlinear power system. Then the stable manifolds of each I type unstable equilibrium point were computed by trajectory arc length method. The union of the stable manifold was taken as the stable boundary of the system. The single machine and infinite bus system was taken as the research object. The comparison of the stability region determined by Monte Carlo method and reachable set theory was conducted. Results show that the manifold theory can be used to solve the stability region of high-dimensional power system with high accuracy.