The vector network approach to inconsistent initial conditions in linear and nonlinear switch-mode circuits

Abstract Switch-mode circuits play important role in contemporary power electronics. A vector network method has been introduced for such circuits simulation on the ideal switch level. It is applicable to passive and active linear and nonlinear circuits of any topology. Dirac responses up to a priori assumed order may appear. The mathematical principle of the method is expansion of the circuit response around each switching instant into a series of subsequent order Dirac components. An obtained equation can be viewed as a, so-called, vector network.