Synthesis of a Class of n-Port Networks

The properties of a class of 2n-node networks, called K-networks, are discussed. The characteristic of a K-network is that when any one of its ports is connected to a voltage source keeping all the other ports short circuited, then all the short-circuited ports are at the same potential. The 2n-node network with a pair of equal conductances joining any two ports, as obtained by the presently known procedure for the realization of a dominant conductance matrix, is shown to be a special structure belonging to this general class. It is shown that the realization of a real dominant matrix as the short-circuit conductance matrix Y of an n-port network can be conveniently carried out using K-networks. Further, the “modified cut-set matrix” of a K-network is of a special form, independent of edge conductances. This property can be made use of in generating a range of equivalent 2n-node n-port networks for a given Y. Examples illustrating the realization procedures are included. © 1968, IEEE. All right reserved.