基于拓扑扩展和矩阵增广的复杂配电网络三相不对称系统快速潮流算法  

TOPOLOGICAL EXTENSION AND AUGMENTED MATRIX BASED METHOD FOR SOLUTION OF COMPLICATED DISTRIBUTION LOAD FLOW

作　　者：廖怀庆[1] 单渊达[2] 吴杰[2] 

机构地区：[1]上海市电力公司调度通信中心,上海200025 [2]东南大学电气工程系,江苏省南京市210096

出　　处：《电网技术》2001年第7期36-40,共5页Power System Technology

摘　　要：提出了一种解决复杂配电网络 (大 R/ X比值、辐射或弱环结构、含 PV节点等 )三相不对称系统的快速潮流算法。该算法基于配电网通常情况下的辐射 (开环 )结构运行特性 ,利用“降阶的节点—支路关联矩阵”An 建立单相辐射网络的拓扑约束和元件约束方程 ,根据 An 是稀疏矩阵且主对角元素为 1的上三角阵的特点 ,潮流方程就能快速求解。当配电网弱环运行时 ,在系统解环后的断点处补偿电压和电流的边界条件 ,形成网络增广矩阵方程 ,并综合戴维南多端口等值电路迭代求解潮流。此外 ,本算法还采用了高斯 -赛德尔恒电压幅值迭代补偿技术解决 PV节点问题。实验结果说明了本文算法 (简称 3DL F算法 )的正确、稳定、快速。An algorithm of real time load flow for three phase unbalanced system in complicated distribution system, with high R/X ratio, radial or weakly looped structure and PV nodes is presented in this paper. On the basis of usual load flow characteristics under radial structure of distribution networks and by use of deflated node to branch incidence matrix A n,the topological restraints of single phase radial network and component restraint functions are established. Because A n is a sparse upper triangular matrix with the number 1 as the diagonal elements, when the three phase topological extension is performed, the radial load flow can be solved rapidly. While the distribution network is weakly looped, the network extension matrix is formed by compensating the boundary conditions of currents and voltages at the breakpoints, combined with the multi port compensation technique of Thevinin's equivalent circuit the load flow is solved. Furthermore, invariant voltage magnitude compensation based on Gauss Seidel iteration is applied to solve the case of PV nodes. Test results show that the proposed method is correct, stable, rapid and practicable.

关 键 词：配电网络 三相不对称系统 潮流算法 矩阵增广 

分 类 号：TM744[电气工程—电力系统及自动化]