Analysis of a hysteretic circuit containing an iron-cored inductor and a semiconductor switch

The analysis is described of a power electronic circuit that contains two different types of nonlinear element: an iron-cored inductor and a semiconductor switch. The classical Preisach model is used to simulate the hysteretic characteristic of the iron-cored inductor. The voltage-current relation of the semiconductor switch, which also has a hysteretic characteristic, is represented by the piecewise-linear approximation. The steady-state analysis of hysteretic circuit is performed by the shooting method with Newton iteration. The analysis treats the hysteretic element as a transducer that depends on the discretised history of its input. The analysis reveals effects of the hysteresis on the performance of an oscillatory circuit. Residual magnetism and demagnetisation help the main capacitor to be charged and discharged by the switching action of the semiconductor switch.