Analysis of linear active (n+l)-poles by simple transformations of the nodal admittance matrix

An analysis method is presented for linear networks containing arbitrary linear, passive or active, and ideal or nonideal two-port elements (three-poles and four-poles) with existing chain matrices. It is suitable, especially in the analysis of networks containing two-ports with nonexisting admittince matrices like ideal transformers, proportionally controlled sources, and nullors. After the determination of the nodal admittance matrix of the subnetwork consisting only of two-pole elements, the remaining two-ports are inserted by simple row and column transformations in the matrix. The order of the matrix is reduced by the successive deletion of rows and columns corresponding to inner nodes of the network.