大规模电网络的分层分解分析

大规模电网络的分层分解分析 HIERARCHIAL DECOMPOSI-TION ANALYSIS OF LARGE-SCALE ELECTRICAL NETWORK 宋玉阶 Song Yujie Feng Jixian Zuo Kai 1 first-author 冯纪先 1 左垲 1 武汉大学空间物理与电子信息学系 武汉大学空间物理与电子信息学系 Department of Space Physics and Electronic Information, Wuhan University Department of Space Physics and Electronic Information, Wuhan University 本文提出了网络矩阵 H 的一般 K 阶余因式H的拓扑分解原理和公式.应用它们求全符号网络函数,采用向下分解向上组合法可明显扩大计算机所能拓扑分析的电网络规模,更容易在计算机上实现.应用它们求部分符号网络函数,很好地解决了拓扑法和数值法的结合问题。可使计算机所能分析的电网络规模扩大到一般数值分析程序所能处理的阶数. In this paper, topological decomposition principles and formulas for general k-order co- facto H（?） of network matrix H arc presented. Using these methods, the all-symbolio network func- tions can be found. The scale of electrical network which can be topological analysed by a computer will be increased obviously by mouns of doown-decomposition up, combination method. They are moe easily operated with a computer. Using these methods, the part-symbolio networkfunctions can be found. The problem of combination of topological method and numberical method can be solved bet- ter. The electrical network scale which can be analysed by a computer is expanded to the network size which can be analysed by the general numberical analytical progam. 网络矩阵 伴随有向图 K 阶余因式 K 阶1因子 分层分解 networrk matix associated directed graph k-order cofactor k-order 1-factor hierarchial decomposition TM131.1 1993-05-01 2021-04-01 5