场论说对网络等效变换一般形式的推导

The Most General Equation of Equivalent Transformation for Network with Field Theory

应用场论说的非线性网络节点电压法一般形式的网络状态方程,以及同时可表示节点复自导和节点复互导的新公式,推导n端口星形连接网络和n端口网形连接网络的等效变换一般形式公式.当n=2时,可以由星形连接网络变为网形连接网络,但不能由网形连接网络变为星形连接网络;当n=3时,星形连接网络和网形连接网络的支路数一样,它们之间有相互对应的等效变换公式.以上变换是在假设.GΣ≠0的条件下实现的.

In order to deduce the most general equation of equivalent transformation for n-stars-shape-network to n-netnetwork and the new formula which can be expressed by complex self-inductance and mutual-inductance simultaneously, when n=2,the stars-shape-network can be changed to the net-shape-network. On the contrary, the net-shape-network can not be changed to the stars-shape-network. When n=3 and G∑≠0, there is the formula of equivalent transformation between stars-shape-network and net-shape-network, because they have the same branches.