多端口基本单元元件群论导出、实现与应用  

Derivation,realization and application of multi-port basic unity element with group

作　　者：熊元新[1] 刘涤尘[1] 黎文安[1] 

机构地区：[1]武汉大学电气工程学院,湖北武汉430072

出　　处：《武汉大学学报（工学版）》2008年第5期106-110,共5页Engineering Journal of Wuhan University

基　　金：国家自然科学基金资助(编号:50577046)

摘　　要：证明了(p+q)端口变压器当p=q=n时的2n端口变压器集合IT(2n)构成群,在此基础上,利用子群一陪集的概念导出一类基本多端口电网络元件——(p+q)端口回转器,并且用电路实现了(p+q)端口回转器,证明了(p+q)端口回转器实现现有电路元件具有很强的优越性.证明了(p+q)端口回转器是基本多端口单元元件.The set of 2n-port transformer, which is the special set of the （p＋q）-port transformer when p =q=n, can form group is proved. Based on it, multi-port network element （（p＋q）-port gyrators） is deduced by using subgroup and coset conception; and （p＋q）-port gyrator is realized with circuits. It is proved that the （p＋q）-port gyrator has great advantage in realizing circuit element; and （p＋q）-port gyrator is the basic multi-port unity element.

关 键 词：(p+q)端口 单元元件 群论 推导 

分 类 号：TN01[电子电信—物理电子学]