# Induction heating of cylindrical loads of arbitrary skin-depth by “current-sheet” inductors

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## Abstract

In this paper, an original analytical method for determining the evolution of electromagnetic quantities in cylindrical inductor-load systems of arbitrary skin-depth is proposed. This fast and flexible approach aims at facilitating the dimensioning of induction heating facilities. The 1-D induction equation is first analytically solved in the load. The transformer theory is then applied, allowing to define the true boundary condition (BC) for the electromagnetic field. The latter issue is then enhanced as a means of highlighting the relevance of the present method when compared with other reference works. The predictions of the analytical approach are then benchmarked with purely numerical results. Finally, a typical application is highlighted, consisting in the optimization of the electrical efficiency of a given induction heating facility.

## Keywords

Electromagnetic fields Induction heating Transformer theory FEM simulations Electrical efficiency## Notes

### Acknowledgements

The authors would like to thank R. Ernst for many insightful discussions. This work has been performed in the frame of the ANR-Post Fukushima ICE - French Ministry for Higher Education and Research.

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