电网络基本元件群论确定

Deriving of Electric Network Basic Element Based on Group Theory

本文研究了二端口电网络元件体系中各元件集合之间、多端口电网络元件体系中各元件集合之间的群关系,结果表明,二端口电网络元件集合之间、2n端口电网络元件集合之间存在子群与陪集关系,基于这种元件集合之间的群关系,最后确定并用群论证明了二端口电网络基本元件是二端口有源回转器和二端口反照器,多端口电网络基本元件是(p+q)端口回转器和2n端口反照器。

The group relationship between sets of two-port electric network elements and the group relationship between the sets of n-port electric network elements are investigated. The results show that relationship between the sets of two-port electric network elements or between sets of 2n-port electric network elements are the relationships of subgroup and co-set. Based on the group relationship between sets of two-port electric network elements or between 2n-port electric network elements, two-port act Gyrator and Reflector are defined as two-port electric network basic elements, 2n-port Reflectors and (p+q)-port Gyrators are defined as n-port electric network basic elements.