RT Journal Article
T1 An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces
A1 Fromreide, Mads
A1 Gómez Pedreira, María Dolores
A1 Halvorsen, Svenn Anton
A1 Salgado Rodríguez, María del Pilar
K1 2D models
K1 Analytical 1D models
K1 Induction
K1 Proximity effect
K1 Submerged arc furnaces
AB An analytical one-dimensional model for the distribution of electric fields within multiple material layers is developed and analyzed. The model originates from the study of large three-phase electric smelting furnaces for ferroalloys and is derived from the low-frequency time-harmonic Maxwell's equations. A solution is obtained for a general case with N layers of material with different electromagnetic properties. A practical demonstration of the utility of the model is given through an application to a multilayer configuration representing the lining and casing in a FeMn furnace, with validation against 2D simulations. In addition, for a specific two-layer scenario with a highly conductive material, an approximate solution for the adjacent layer is derived. This approximation allows the distribution of the adjacent layer to depend only on its individual properties, and shows that the dissipated power reaches a maximum value when the skin depth/thickness ratio is around one. Comparative analysis between the analytical model and 2D simulations shows good qualitative agreement.
PB Elsevier
SN 0307-904X
YR 2024
FD 2024-11-14
LK https://hdl.handle.net/10347/44231
UL https://hdl.handle.net/10347/44231
LA eng
NO Fromreide, M., Gómez, D., Halvorsen, S. A., & Salgado, P. (2025). An analytical 1D model for computing low-frequency electromagnetic fields in material layers: Application to metallurgical furnaces. Applied Mathematical Modelling, 139. https://doi.org/10.1016/J.APM.2024.115809
NO The authors affiliated to CITMAga have also received funding from Xunta de Galicia (Pr.No. GI-1563 ED431C 2021/5) and FEDER, Ministerio de Ciencia e Innovaci\u00F3n-AEI research project PID2021-122625OB-I00.
DS Minerva
RD 28 abr 2026