Induction heating of cylindrical loads of arbitrary skin-depth by “current-sheet” inductors
- 49 Downloads
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.
KeywordsElectromagnetic fields Induction heating Transformer theory FEM simulations Electrical efficiency
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.
- 3.Gresho PM, Derby JJ (1987) A finite element model for induction heating of a metal crucible. J Cryst Growth 85:40–48Google Scholar
- 5.Valchev VC, Todorova TP, Yudov DD, Mareva DJ (2016) Design considerations of inductors for induction heating of fluids. In: Proceedings of the 19th international symposium on electrical apparatus and technologies (SIELA), 29 May–1 June, Bourgas, pp. 1–3Google Scholar
- 8.Delage D, Ernst R (1983) Modélisation électrique d’un système de fusion par induction en creuset froid destiné à l’élaboration de matériaux de haute pureté (Electrical modelling of a cold crucible system for melting high-purity materials). Rev Gen Electr 4:266–272Google Scholar
- 10.Moreau R (1990) Magnetohydrodynamics. Kluwer academic publishers, Dordrecht, ch. 1, 4, 5, pp. 1–31, 110–150, 179–189Google Scholar
- 11.Knight D (2016) An introduction to the art of solenoid inductance calculation with emphasis on radio-frequency applications. [Online]. Available: http://www.g3ynh.info/zdocs/magnetics/Solenoids.pdf, version 0.20
- 13.Ernst R (1983) Aspect électrique des systèmes monophasés (Electrical aspect of single-phase systems). Technical report Grenoble Institute of TechnologyGoogle Scholar
- 14.Cold crucible tutorial (2012) Comsol tutorials. Comsol support team and R. Ernst, Technical reportGoogle Scholar
- 15.MUMPS Support (2011) MUltifrontal massively parallel solver (MUMPS 4.10.0) user’s guideGoogle Scholar