Modeling of Planar Spiral Inductors Between Two Multilayer Media for Induction Heating Applications

We present an analytical model of the equivalent impedance of an n-turn planar winding sandwiched between top and bottom multilayer media. Although the model's general and compact notation is valid for all systems involving magnetic dipoles and stratified media, perhaps its main application is domestic induction heating systems. The proposed model is based on the vector potential solution of a single-turn coil located between two multilayer media, and this result is extended to n-turn coils. We demonstrate the applicability of the model by a variety of examples. We present experimental results to justify the theoretical model