A topological approach to the analysis of switching circuits

This article describes a technique for the formulation of the constraint equations in electrical networks containing ideal switches and characterized by, a time variant topology. The proposed method is suitable for semi-qualitative analysis of switching circuits (switch with zero R_ON and infinite R_OFF) where a faster simulation is preferred to a precise one to focus only the behavioral performance of the circuit to analyze. In the proposed approach a set of overall constraint equations, the "Template Equations," are written at the start of the simulation. The constraint equations, for each topological configuration produced by the ON/OFF switches, are derived by TE on the basis of simple operations. The advantage of the proposed approach consist into the capability to represent, in a single set of equations, circuits with time variant topology.