Simulation of power electronic circuits containing nonlinear inductances

Power electronic circuits which contain nonlinear inductances are described by a set of nonlinear state equations. The author presents a sampled-data model for the circuit from which a set of linear state equations can be formulated. In the sampled-data model, the nonlinear inductor is modeled by an ideal sampler, a variable gain, and a clamp. The state variables for the circuit are updated during the simulation using a three-step procedure. One step involves the solution of the linear state equations using a technique such as the state transition matrix approach. Two additional steps are employed to account for the effects of the ideal sampler, variable gain, and clamp.