基于微分求解模型的大规模电力系统病态潮流计算

Ill-Conditioned Power Flow Calculations of Large-Scale Power Systems Based on Differential Solving Model

电网规模不断扩大,负荷加重,对电力系统病态潮流计算提出新的要求.传统方法受计算规模限制,无法满足全网一体化分析需求.针对此问题,结合连续牛顿法(Continuous Newton’s Method,CNM)的数学原理,提出了潮流计算的微分求解模型,将非线性的潮流方程组转换为常微分方程组;应用一定的数值积分方法,优化重构求解模型,在CPU架构下设计并实现了大规模病态潮流计算.算法应用于多个包含上千节点的大规模系统算例,通过对收敛性和效率的测试分析,准确性和实用性得以验证.

With the growing size and increasing load of power systems,there are new demands for power flow calculations of ill-conditioned systems.Traditional methods are limited by the scale of systems,which is invalid when it’s applied to integrated analysis of the power grid.Aiming at this problem,the differential solving model of power flow is presented and implemented in this paper.Learned from the mathematical principle of continuous Newton’s method,power flow equations are switched into ordinary differential equations.With the application and optimization of numerical integration methods,the ill-conditioned power flow problems are solved on CPU.Large-scale cases including thousands of nodes are tested to prove the accuracy and efficiency.