New Topological Formulas for Linear Networks

A new method of topological analysis for networks containing nonreciprocal components and mutual inductance is presented. The components are required to have two, three, or four terminals and an admittance matrix. The difference between the present method and other known methods is the result of allowing tree and two-tree admittance parameters to be a function of the shape and element content of corresponding trees and two-trees. No modification of the original network is required and for node determinant and diagonal cofactor calculations, no sign is appended to tree and two-tree parameters. The method is illustrated with a transistor amplifier.