含源网络直接建立节点电压方程的一种方法

对由各种线性受控源(VCCS、VCVS、CCCS、CCVS)和线性互感组成的复杂网络,因它的节点导纳矩阵不对称,要建立节点方程,先要写出关联矩阵[A]和支路方程,然后从支路方程得出支路导纳矩阵,再由它们算出节点导纳矩阵。而本文推出直接建立节点方程的新公式,该公式简单、准确,对复杂网络的分析计算提供了一种新方法。

An Approach to Establish the Nodal Equations for Active Linear Networks

For a complex network consisting of linear controlled source (VCCS, CCCS, VCVS, CCVS) and linear compiled coils, because of the asymmetry of its nodal admittance matrix, the associated matrix [A] and the branch equations should be set first, then the branch admittance matrix may be derived from the equation, fially, the nodal admittance matrix is established by, suing the all above A new formula, with which the nodal equation can be established directly, is shown in this paper. With its precision and simplicity, the formula provides a new approach to facilitate the analgsis and calculation of complex networks.