基于ODE泛化模型的病态潮流求解算法

Ill-Conditioned Power Flow Approaches Based on ODE Generalized Model

为有效求解病态潮流问题,引入一种全新的潮流计算模型,将潮流计算问题转化为一组自治常微分方程组(ODE)求解问题,采用多种数值计算方法(如龙格-库塔法)求解新模型。通过对欧洲和国内几个实际系统进行仿真,表明新算法求解大规模系统病态潮流问题时实用有效。新模型原理清晰、结构简单,经典牛-拉法和基于牛-拉法的多种鲁棒性方法都可以表达成新模型的特殊情况,可为求解潮流问题提供一种新的思路。

In order to solve the problem of ill-conditioned power flow,a novel calculation model of power flow is introduced in this paper.The power flow problem is formulated as a set of autonomous ordinary differential equations（ODE）,and several numerical methods（e.g.Runge-Kutta formulas） are used to solve ODE.The efficiency and practicability of the new approach are verified by simulation results of UCTE system and three actual domestic power systems.The new model can be built according to clear principle with simple structure.This approach allows the standard Newton-Raphson method and many robust techniques to be described in a unique framework,which provide a fresh idea for solving power flow.