一种病态电网潮流的数值解法

A Numerical Algorithm for Ill-conditioned Power Flow Problem

针对病态电网的潮流计算问题,提出对潮流延拓方程的龙格–库塔数值计算方法。其核心在于:在延拓法的基础上,将潮流方程解的问题转变为微分方程的初值问题,通过龙格–库塔法进行求解。在求解过程中,沿用多延拓多启动技术,以扩大解的收敛范围;将计算格式转变为常规牛顿潮流法形式,与成熟(如稀疏)技术有机衔接,使该算法符合工程实际。总之,该算法是一种大范围收敛的潮流算法,对病态潮流及电压静态稳定等问题分析有良好的适应性,修改后的IEEE 5和IEEE 118系统算例,验证了该算法的有效性。

In allusion to calculation of power flow for ill-conditioned power network,a numerical power flow calculation method composed of Runge-Kutta method and multi-starting extension method is presented.The core of the presented method is that： based on extension method the problm of solving abnormal power flow is turned into the initial-value problem of differential equations and then is solved by Runge-Kutta method.To make the presented algorithm meet the demand of engineering practive,during the solution,the multi-starting extension method is adopted to expand the convergence range of the solution,and the numerical calculation scheme is turned into the way similar to conventional power flow calclation by Newton-Raphson method to link up with the mature technique such as sparse technique.In short,the presented algorthm is a power flow algorithm for wide-range convergence,and can be well adapt to the anlsysis on abnormal power flow and static voltage stability.Simulation results of modified IEEE 5-bus system and IEEE 118-bus system show that the presented algorithm is effective.