Synthesis of a Class of n-Port Networks

The properties of a class of -node networks, called -networks, are discussed. The characteristic of a -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 -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 of an -port network can be convenientlycarried out using -networks. Further, the "modified cut-set matrix" of a -network is of a special form, independent of edge conductances. This property can be made use of in generating a range of equivalent -node -port networks for a given . Examples illustrating the realization procedures are included.