Parallel Interconnection of n-Port Networks

In this paper, parallel interconnection ofn-port networks without transformers is considered, and a necessary and sufficient condition is given, under which the short-circuit admittance matrix (Ymatrix) of the resultantn-port is equal to the sum ofYmatrices of the componentn-ports. The given condition applies to nonsingularn-port networks containing a finite number of linear, lumped, and reciprocal R, L, and C elements. A possible application of the results to the RLCn-port synthesis problem is indicated.