大规模电力系统中分布式求解线性方程组的理论分析

Theoretical Analysis of Distributed Solving Linear Equations inLarge Scale Power Systems

求解线性方程组是解决电力系统中很多问题的关键一步。分布式的方法可以利用电力系统的拓扑结构将大规模的线性方程组分解为一个个小规模的线性方程组,然后让系统中的智能体(agent)通过求解自己的小规模线性方程组和协调合作来求得原大规模线性方程组的解。本文将介绍分布式求解线性方程组的意义、一些预备知识以及分布式求解线性方程组在电力潮流计算中的应用。

Solving linear equations is a key step in solving many problems in power systems.The distributed method can use the topology of the power system to decompose large-scale linear equations into small-scale linear equations,and then let the agents in the system solve their own small-scale linear equations and Coordinated cooperation to solve the solution of the original large-scale linear equations.This paper will introduce the significance of distributed solving linear equations,some preliminary knowledge and the application of distributed solution linear equations in power flow calculation.