Numerical computation of the electromagnetic field in the electrodes of a three-phase arc furnace

In this paper we introduce and numerically solve a mathematical model for numerical simulation of electromagnetic eld in a three-phase electric reduction furnace. The model allows us to compute the current distribution on a cross-section of the three electrodes. A combined boundary element= nite element method is used. Numerical results for real industrial furnaces are shown. As a by-product we compute the torque on the electrodes due to the Lorentz electromagnetic force.