割集电压方程的直接建立法

A Straightforward Approach to Establish Cut-set Voltage Equation

本文通过对割集电压方程建立过程的理论分析,提出并证明了一种直接的、更为简便的列写割集电压方程的方法。该方法避免了传统的割集电压方程建立过程中繁复的矩阵运算,对一些不太复杂的网络,本法可以用直观的方法,通过电路的图、树、独立割集及割集方向,并按照一定的规则即可列写出割集导纳矩阵Yi、割集电流源列向量J.i,进而得到电路的割集电压方程。

Based on the theoretical analysis of the establishment of cut-set voltage equation, a more straight-forward and simplified way has been proposed. The new approach effectively avoids complex matrix operation in obtaining the cut-set voltage equation. The proposed approach is especially effective to the circuit network with moderate complexity. The cut-set voltage equation is established by creating cut-set admittance matrix Yi and cut-set current source vector ^·Ji which are obtained directly based on rules in terms of the graph, trees, independent cut-set, and the cut-set directions of the circuit network.