Modified cut-set matrix of an n-port network

The modified cut-set matrix of an n-port network is defined and its properties are enumerated. The importance of this concept in considering the parallel interconnection of n-port networks containing R, L and C elements is demonstrated. A procedure is obtained for the generation of a class of continuously equivalent networks of a given RLC n-port network. The class is characterised by the property that all networks belonging to this class have the same modified cut-set matrix. Using this procedure, it can be shown that, for a resistive n-port network in which every pair of vertexes is connected by a finite positive conductance, a large number of continuously equivalent networks containing only nonnegative conductances can always be obtained. The usefulness of this result in the synthesis of RLC n-port networks is indicated