Dynamic Current Distribution in the Electrodes of Submerged Arc Furnace Using Scalar and Vector Potentials

  • Yonatan Afework Tesfahunegn
  • Thordur Magnusson
  • Merete Tangstad
  • Gudrun Saevarsdottir
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10861)


This work presents computations of electric current distributions inside an industrial submerged arc furnace. A 3D model has been developed in ANSYS Fluent that solves Maxwell’s equations based on scalar and vector potentials approach that are treated as transport equations. In this paper, the approach is described in detail and numerical simulations are performed on an industrial three-phase submerged arc furnace. The current distributions within electrodes due to skin and proximity effects are presented. The results show that the proposed method adequately models these phenomena.


Current distribution Skin effect Proximity effect Submerged arc furnace 



The Icelandic Technology development fund is greatly acknowledged for their funding of this work.


  1. 1.
    Krokstad, M.: Electrical resistivity of industrial SiC crusts. MSc-thesis, NTNU (2014)Google Scholar
  2. 2.
    Vangskåsen, J.: Metal-producing mechanisms in the carbothermic silicon process. MSc. thesis, NTNU (2012)Google Scholar
  3. 3.
    Mølnås, H.: Investigation of SiO condensate formation in the silicon process. Project report in TMT 4500. NTNU, Norway (2010)Google Scholar
  4. 4.
    Nell, J., Joubert, C.: Phase Chemistry of digout samples from a ferrosilicon furnace. In: The 13th International Ferroalloys Congress, pp. 265–271. Almaty, Kazakhstan (2013)Google Scholar
  5. 5.
    Palsson, H., Jonsson, M.: Finite element analysis of proximity effects in Soderberg electrodes. Accessed 07 Jan 2018
  6. 6.
    Toh, T., Yamasaki, N., Seki, T., Tanaka, J.: Magnetohydrodynamic simulation in steel making process by 3D finite element method. In: Proceedings of the 4th International Conference on CFD in the Minerals and Process Industries SINTEF/NTNU. Trondheim, Norway (2005)Google Scholar
  7. 7.
    Dhainaut, M.: Simulation of the electric field in a submerged arc furnace. In: Proceedings of the 10th International Ferroalloys Congress, pp. 605–613. Cape Town, South Africa (2004)Google Scholar
  8. 8.
    Bezuidenhout, J.J., Eksteen, J.J., Bardshaw, S.M.: Computational fluid dynamic modelling of an electric furnace used in the smelting of PGM containing concentrates. Miner. Eng. 22(11), 995–1006 (2009)CrossRefGoogle Scholar
  9. 9.
    Darmana, D., Olsen, J.E., Tang, K., Ringldalen, E.: Modelling concept for submerged arc furnaces. In: Proceedings of the 9th International Conference on CFD in the Minerals and Process Industries CSIRO. Melbourne, Australia (2012)Google Scholar
  10. 10.
    Wang, Z., Fu, Y., Wang, N., Feng, L.: 3D numerical simulation of electric arc furnaces for the MgO production. J. Mat. Pro. Tec. 214(11), 2284–2291 (2014)CrossRefGoogle Scholar
  11. 11.
    FLUENT, ver. 17.0, ANSYS Inc., Southpointe, 275 Technology Drive, Canonsburg, PA 15317 (2017)Google Scholar
  12. 12.
    Schei, A., Tuset, J.K., Tveit, H.: Production of high silicon alloys. Tapir Forlag, Trondheim (1998)Google Scholar
  13. 13.
    Sævarsdottir, G.A., Bakken, J.A., Sevastyanenko, V.G., Liping, G.: High power AC arcs in metallurgical furnaces. High Temp. Mater. Process. 5(1) (2001)Google Scholar
  14. 14.
    Saevarsdottir, G.A., Bakken, J.A.: Current distribution in submerged arc furnaces for silicon metal/ferrosilicon production. In: Proceedings of the 12th International Ferroalloys Congress, pp. 717–728. Helsinki, Finland (2010)Google Scholar
  15. 15.
    Tranell, G., Andersson, M., Ringdalen, E., Ostrovski, O., Stenmo, J.J.: Reaction zones in a FeSi75 furnace – results from an industrial excavation. In: Proceedings of the 12th International Ferroalloys Congress, pp. 709–715. Helsinki, Finland (2010)Google Scholar
  16. 16.
    Myrhaug, E.H.: Non-fossil reduction materials in the silicon process -properties and behavior. Ph.D. thesis, NTNU (2003)Google Scholar
  17. 17.
    Tangstad, M., Ksiazek, M., Andersen, J.E.: Zones and materials in the Si furnace. In: Silicon for the Chemical and Solar Industry XII. Trondheim, Norway (2014)Google Scholar
  18. 18.
    Griffiths, D.J., College, R.: Introduction to Electrodynamics, 3rd edn. Prentice-Hall Inc., USA (1999)Google Scholar
  19. 19.
    ICEM-CFD, ver . 17.0, ANSYS Inc., Southpointe, 275 Technology Drive, Canonsburg, PA 15317 (2017)Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Yonatan Afework Tesfahunegn
    • 1
  • Thordur Magnusson
    • 2
  • Merete Tangstad
    • 3
  • Gudrun Saevarsdottir
    • 4
  1. 1.Engineering Optimization and Modeling Center, School of Science and EngineeringReykjavik UniversityReykjavikIceland
  2. 2.United SiliconReykjanesbæIceland
  3. 3.Department of Materials Science and EngineeringNTNUTrondheimNorway
  4. 4.School of Science and EngineeringReykjavik UniversityReykjavikIceland

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