Bott-Duffin逆在电网计算中的应用

The Application of Bott-Duffin's Contra-matrix in the E-net Calculation

一个电网络在电学上是用它的支路电流与支路电压来描述的,理论上也可利用数学上带权的有向图来描述,而一个具有m个节点,n个支路的网络又可以用一个m×n矩阵来表示,由电学中的K irchhof电流定律、Ohm定律,利用关联矩阵进而得出网络方程,利用Bott-Duffin逆,得到了求电网中各支路电流和支路电压的方法。

A certain E-net in the Electrics is described by its branch ctLrrent and branch volt; and by potential direction-oriented map mathematically on the theory, as well. However, some network with ＂m＂ nodes; ＂n＂ branches is, again, denoted by one ＂m × n＂ matrix. It formulated by Kirchhof current law, Ohm law, utilizhag the associate matrix. Therefore, we get the solution to the branch current and volt by utilizing Bott-Duffha＇s contra-matrix.