潮流方程的割线法求解

     

摘要

电力系统潮流分析是研究电力系统稳定的重要手段,通过数值仿真的方法把电力系统的详细运行状态呈现给运行人员,以便了解给定条件下电力系统的稳定运行状态.潮流计算是求解一组潮流方程描述的非线性方程组,而在电力系统的发展中,涌现出了多种优秀的潮流算法,如牛顿-拉夫逊法、快速分解法等.本文利用割线法的思想克服了牛顿-拉夫逊法对初值敏感的缺点,简化了潮流方程的求解,达到了较准确求解潮流方程的目的,同时计算速度与快速分解法相近.%Power flow analysis is an important method to study power system stability.In order to study the steady operation state under certain conditions,some detailed operations of power system state are presented to the operator by the method of numerical simulation.Power flow calculation is defined to solve power flow equations based on nonlinear system.In the development of power system,there are many excellent power flow algorithms,such as Newton-Raphson method and fast decoupled method.In this paper,secant method is used to overcome the disadvantage of Newton-Raphson method which is sensitive to initial values.The power flow equations which are simplified can be solved exactly,and the method we give does it as fast as fast decoupled method.

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