用节点支路编号法研究独立KCL和KVL方程数

Research on Independent KCL and KVL Equations by Numbering the Nodes and Branches

摘要: 提出一种证明独立KCL和KVL方程数的新方法。在对节点支路进行一次顺序编号之后,本方法既可列出电流方程以确定独立KCL方程数,又可列出电压方程以确定独立KVL方程数。这种新方法的特点是证明过程简单,仅借助于方程的排列与数学处理而不涉及网络图论。

Abstract: This paper presents a new method which defines how many independent equations of KCL and KVL should be written. Once the nodes and branches are numbered, both the independent KCL and KVL equations are defined. Another feature of it, referring only to the writing and processing of the set of equations, is that it does not involve the network graph theory.