割集在电路分析中的应用探索

Research on cut-set in the application of circuit analysis

分析电路的常规方法是根据基尔霍夫定律列写节点电压方程组或回路电流方程组,而节点、回路也是图论中的概念.将电路分析与图论的相关原理相结合,利用图论中割集的概念提出了一种新的分析电路的方法——割集电压法.在分析节点电压方程组和回路电流方程组的列写规则的基础上,给出了割集电压法方程组的列写规则,并进行了验证.该方法可以更加直接地列写电路方程组,避免了大量的矩阵运算,也为从图论的角度分析电路、理解电路开辟了一条新的途径.

The general approaches of circuit analysis are node voltage analysis and loop current analysis. Also,loop and node are concepts of graph theory. According to circuit analysis and graph theory, a new way called cut-setvoltage analysis has been proposed and verified. In addition, the rules of cut-set voltage equations have been raisedbased on the rules of node voltage equations and loop current equations. The new approach not only avoids complexmatrix operation and establishes the equations directly, but also contributes effectively to analyze circuit networkfrom the angle of graph theory.