Synthesis of Cauer-Equivalent Circuit Based on Model Order Reduction Considering Nonlinear Magnetic Property

The Cauer-equivalent circuit of electric apparatus is synthesized by applying the model order reduction to the finite-element equations. In this method, the admittance function of a given electric apparatus is expressed by a rational polynomial from which the Cauer-equivalent circuit is directly synthesized. Magnetic saturation in the magnetic core is considered by introducing nonlinearity in the primal inductance of the circuit. The synthesized circuit is shown to express the input-output properties of inductors and induction heating devices in good accuracy.