Consistent initial conditions of nonlinear networks with switches

In the analysis of switched networks discontinuity of network variables and the presence of impulsive voltages and currents at the switching instants are often encountered. A theory for obtaining consistent initial conditions of electrical networks containing ideal switches and impulsive sources is proposed. 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