基于覆盖树的电路网络分析法  

Network Analysis Based on Covering Tree

作　　者：李竹 黄锦安[1] 徐行健[1] 蔡小玲[1] 

机构地区：[1]南京理工大学电光院,江苏南京210094

出　　处：《电气电子教学学报》2017年第6期84-86,117,共4页Journal of Electrical and Electronic Education

摘　　要：在一般的电路网络分析方法中,割集电压法是选择任意一棵树的树支电压ut作为独立变量,回路电流法是选择任意一棵树的连支电流il作为独立变量,而所选择的任意树并不能以其连支电压ul或树支电流it为独立变量进行分析。本文引进覆盖树的概念,在覆盖树的基础上提出了使树支电压和连支电压、连支电流和树支电流能够互为线性组合的定理,并对该定理进行了证明。以该定理为基础,使得树支上的电压和电流、连支上的电流和电压均可作为独立变量进行分析求解,使电路分析更为灵活简便。In the cut set voltage matrix equations , tree branch voltage ut are the independent variables ana m me loop current matrix equations , branch current i~ are the independent variables. In the former methods, tree branch current it and branch voltage u1 can not be selected to be the independent variables in the matrix equations. This paper introduce the concept of covering tree of a graph and a theorem that ttt and ul, it and iI all can be the inde-pendent variables is presented. On the base of the theorem, circuit analysis can be more easy and flexible.

关 键 词：覆盖树 连枝 树支 网络分析法 

分 类 号：TM133[电气工程—电工理论与新技术]