线性常参量互易电网络解的存在唯一性定理

电网络解的存在唯一性问题是一个十分重要的网络基础理论问题。对正元件组成的线性常参量互易网络,本文证明,解存在且唯一的充要条件是纯电压源不构成回路,且纯电流源不构成分割。运用这一定理,本文还讨论了网络的置换定理,给出其改进了的表述形式。

Theorem on the Existence and Uniqueness of Solution to Linear, constant and Beciproal Electronic Network

In electronic network theory, the existence and uniqueness of solution is a very important fundamental problem. For a linear, constant and reciproal network composed of positive components, there exists unique solution if and only if constant voltage sources didn't form any loop and constant current sources didn't form any cut set. Using this theorem, the replacement theorem was discussed and its representations were improved.