A model of the equivalent impedance of the coupled winding-load system for a domestic induction heating application

In this paper, an analytical model of the equivalent impedance of a planar circular induction system is derived. The considered induction system is composed of an n-turn planar winding loaded by a metallic material, and its equivalent impedance consists of the series connection of an equivalent resistor and inductor. The influence of the number of turns, the load electromagnetic properties, the frequency of the excitation currents and the geometrical dimensions is studied. Furthermore, the frequency-dependent resistance of windings, including both skin and proximity effects, is also included in the model. Validation of the proposed model is carried out through experimental measurements.

[1]  George H. Brown,et al.  Theory and application of radio-frequency heating , 1947 .

[2]  J. Maxwell.  A Treatise on Electricity and Magnetism , 1873, Nature.

[3]  J. A. Ferreira.  Analytical computation of AC resistance of round and rectangular litz wire windings , 1992 .

[4]  Francois Costa,et al.  Principle of a multi-load/single converter system for low power induction heating , 2000 .

[5]  J. A. Ferreira.  Electromagnetic Modelling of Power Electronic Converters , 1989 .

[6]  J. Acero,et al.  Asymmetrical voltage-cancellation control for full-bridge series resonant inverters , 2004, IEEE Transactions on Power Electronics.

[7]  J. Swinburne.  Electromagnetic Theory , 1894, Nature.

[8]  J.D. van Wyk,et al.  Investigating the influence of material properties on the efficiency of an induction heating load transformer using FEM simulations , 1995, IAS '95. Conference Record of the 1995 IEEE Industry Applications Conference Thirtieth IAS Annual Meeting.

[9]  L. A. Barragan,et al.  Analytical equivalent impedance for a planar circular induction heating system , 2006, IEEE Transactions on Magnetics.

[10]  J. Acero,et al.  Magnetic vector potential based model for eddy-current loss calculation in round-wire planar windings , 2006, IEEE Transactions on Magnetics.

[11]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[12]  W. G. Hurley,et al.  Calculation of self and mutual impedances in planar magnetic structures , 1995 .

[13]  F. Monterde,et al.  A comparative study of resonant inverter topologies used in induction cookers , 2002, APEC. Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.02CH37335).

[14]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[15]  M. Kazimierczuk,et al.  Resonant Power Converters , 1995 .