电力系统病态潮流的同伦方法求解

HOMOTOPY METHOD FOR ILL-CONDITIONED POWER SYSTEM LOAD FLOW CACULATION

本文将大范围收敛的同伦方法用于求解电力系统病态潮流，提出了一种适合于潮流方成绩坐标形式的同伦方程，经过对典型病态系统的数值计算，表明对于潮流的病态问题取得了良好的效果。

Homotopy methods are efficient ways to find the zero distribution or to locate zeros of nonlinear mappings.Homotopy methods have the advantages of weak convergent conditions over the iterate methods such as Newton method,and,in some cases,global convergence. In this paper,based on the structure of Jacobi matrix for Newton method, homotopy equations in polar type have been formulated for solving ill-conditioned problems in power flow studies.Some representative ill-conditions power flow such as 13 buses,43 buses tests are done with digital computer programmes,the examples indicate that the method have large convergent range.