Consistent initial conditions of linear switched networks

A method for obtaining consistent initial conditions of linear switched networks is presented. The major difficulty in the analysis is the discontinuity of network variables and the presence of impulsive voltages and currents at the switching instants. The method entails a two-step integration based on a special numerical Laplace inversion. It is applicable to any linear circuit configuration; capacitor loops, inductor cutsets, ideal switches with zero impedance or admittance, and impulsive sources do not present problems. An important application is in computing the switching transformation matrices that relate the initial conditions of the network to the circuit conditions before switching. These matrices are needed in frequency analysis of general periodically switched linear networks. The algorithms have been implemented and tested in a computer program WATSNAP