电力系统最近负荷边界的计算方法

摘要

确定电力系统最近的负荷边界点对研究系统的静态稳定有着重要的意义。本文以节点电压和支路电流为状态变量的混合电力网络方程为研究基础，建立了代表系统稳定边界的特征方程，明确了在电压静态稳定临界圆上的边界条件。通过几何分析找到负荷点与对应的稳定边界的最近距离方程，建立了最小负荷边界的附加方程形成求解方程组，方程组采用牛顿迭代算法求解，为了避免在负荷边界附近雅可比矩阵奇异，算法采用了对雅可比矩阵中临界点替代的方法进行计算。仿真计算结果表明，该方法是正确的和有效的。%The determination of the closest load boundary in power system is of significance to the study of its static sta⁃bility. In this paper,based on the hybrid electric network equations with node voltages and branch currents as state vari⁃ables,a characteristic equation is established to describe the system stability boundary,and obtain the boundary condi⁃tions on the static voltage stability circle. The equation for the distance between the load point and load boundary is found by geometrical analysis. The equations for analyzing the closest load boundary are built,and they are solved by Newton iteration method. The critical points in Jacobian matrix are replaced to avoid the singularity around the load boundary. Simulation results demonstrate that the method is correct and effective.