Analytical equivalent impedance for a planar circular induction heating system

A set of analytical expressions is derived for the equivalent impedance in a planar circular induction heating system, used for example in home appliances. The induction system consists of an n-turn planar winding loaded by a conductive material. Expressions that describe the frequency dependence of impedance are provided. The influence of load conductivity, load permeability, and geometrical dimensions is also considered. Validation of the proposed model is carried out through experimental measurements.