CONSISTENT INITIAL CONDITIONS OF NONLINEAR NETWORKS WITH SWITCHES

Classical time-domain analysis of electrical networks is based on the assumption that the response of the network is continuous. Analysis of switched networks encounters a major difficulty due to the discontinuity of network variables and the presence of impulsive voltages and currents at the switching instants. This paper introduces a new theory for obtaining consistent initial conditions of electrical networks containing ideal switches and impulsive sources. The method is based on charge and flux conservation and requires the solution of three one-element-kind networks. It is applicable immediately to networks with linear resistors, linear controlled sources, and linear or nonlinear capacitors and inductors. A possible application of the theory is to reduce simulation costs of networks that contain switches and have impulsive behavior.