RT Journal Article
T1 Reduced 2D/1D mathematical models for analyzing inductive effects in submerged arc furnaces
A1 Fromreide, Mads
A1 Gómez Pedreira, María Dolores
A1 Halvorsen, Svenn Anton
A1 Herland, Egil Vålandsmyr
A1 Salgado Rodríguez, María del Pilar
K1 Metallurgy
K1 Submerged arc furnaces
K1 Induction
K1 Proximity effects
K1 Analytical 1D models
K1 Dimensional Analysis
AB Mathematical models have been developed to investigate the quantitative behaviour of the current and power distributions in large submerged arc furnaces, usually fed by a low-frequency alternating source. Reduced 2D and 1D models will be used to investigate the electrical behaviour inside the furnace; in particular, these models will allow us to explain the inductive effects between the different regions and to compare the use of genuine AC models vs. DC approximations. The merits and limitations of the reduced models will be analyzed in terms of geometrical and physical parameters. The models are based on three-phase submerged arc furnaces for ferromanganese production, which are characterized by coke enriched regions (coke beds) under the electrodes. Mathematical analysis and computer simulations show how AC differs from the simpler direct current (DC). If the electrode-electrode distance is large, the current will mainly run horizontally between the electrodes. The unidimensional AC model shows that the distribution in the coke bed is largely influenced by the (parallel) currents in the metal. On the other hand, the corresponding DC model will predict constant current and power distributions here. Two-dimensional simulations reveal that this AC property will be preserved qualitatively also for realistic electrode-electrode distances. Hence, if there is a significant power contribution from horizontal currents in the coke bed (or slag), DC models should be avoided.
PB Elsevier
SN 0307-904X
SN 1872-8480
YR 2021
FD 2021
LK http://hdl.handle.net/10347/32280
UL http://hdl.handle.net/10347/32280
LA eng
NO Fromreide, M., Gómez, D., Halvorsen, S. A., Herland, E. V., & Salgado, P. (2021). Reduced 2D/1D mathematical models for analyzing inductive effects in submerged arc furnaces. Applied Mathematical Modelling, vol. 98, 59-70. https://doi.org/10.1016/J.APM.2021.04.034
NO This paper is published as part of the project Electrical Conditions and their Process Interactions in High Temperature Metallurgical Reactors (ElMet) 247791, with Financial support from The Research Council of Norway and the companies Elkem and Eramet Norway.
DS Minerva
RD 24 abr 2026