一种大范围收敛的电力系统潮流算法——同伦延拓法

A LARGE RANGE CONVERGENT METHOD FOR POWER SYSTEM LOAD CALCULATION—HOMOTOPY CONTINUATION MEFHOD

本文分析了影响电力系统潮流计算收敛性的因素。在利用同伦延拓法求解病态潮流的研究中,提出一种求解同伦曲线的新方法。这种方法可修改迭代初值,使其进入收敛范围,因此适用与处在特殊运行状态下的系统潮流计算,尤其是小干扰稳定边界附近的潮流计算。论文讨论了同伦延拓法求解潮流方程的原理和步骤,以及雅可比矩阵奇异点的处理方法。最后用七个算例说明方法的有效性。

A Large range Convcrgent Newton Method Called Homotopy Continuation method for power System load, flow Calculation is presented in this paper. The initial Condition of power system Load can be modified by a new approach based on the Hornotopy Continuation method, for the mew initial Condition, the itcration is Convergent by means of the Conventional Newton load flow Caldulation, therefore it can be used to solving the load flow of power systems in the Special conditions, in particular, nearby the bundary of small disturbance stability.In the paper, the fundamental principle of the Homotopy Continuation method and the numcrical difficulties associated with the singularity of thc Jacobian matrix in the Calculation Continuation Curve are discussed. The results of applying the proposed method to Seven power systams verify its fcosibility.