节点导纳矩阵和阻抗矩阵的互感支路组整体追加方法  

Research on Mutual Inductance Branch Building Method of Node-Admittance Matrix and Node-Impedance Matrix Based on Branch Group

作　　者：陈明[1] 李银红[1] 石东源[1] 柳焕章[2] 王若曦[1] 段献忠[1] 

机构地区：[1]强电磁工程与新技术国家重点实验室(华中科技大学),武汉430074 [2]华中电网有限公司,武汉430077

出　　处：《电工技术学报》2016年第21期94-101,共8页Transactions of China Electrotechnical Society

摘　　要：在以支路追加法形成节点导纳矩阵和节点阻抗矩阵的过程中,互感支路的追加远比非互感支路复杂,因此提出以支路组为单位的节点导纳矩阵及节点阻抗矩阵支路组追加法。该方法将相互之间有互感耦合的支路分为一组,应用所推导的追加公式以整组互感支路为单位直接追加到节点导纳矩阵和节点阻抗矩阵中,使得计算方法简单统一,可显著减少计算量,提高计算效率。最后通过算例验证和比较了所提方法的实用性和有效性。In the process of building node-admittance matrix and node-impedance matrix by traditional adding branches method,the addition of mutual inductance line is more complex than non-mutual inductance line. A novel algorithm of building node-admittance matrix and node-impedance matrix based on branch groups is proposed in this paper. The method makes mutual coupling branches into a group. We can add the entire branches as a group into the network according to the derived adding equations. The algorithm has the characteristic of simple and unified computing method, reducing the amount of computation and improving the computational efficiency. The Practicality and Effectiveness of this proposed method is proved by calculation and comparison.

关 键 词：互感线路 支路组 节点导纳矩阵 节点阻抗矩阵 

分 类 号：TM744[电气工程—电力系统及自动化]