A finite element model of a DC arc furnace is investigated in order to
predict the forces acting on the arc due to the magnetic field. The c
urrents have an a priori unknown distribution in the steel tank wall,
in the anode, in the melt and in the cathode, so a current flow proble
m is analysed in the first step. The current density is solved for in
terms of a current vector potential whose edge element representation
is used in the subsequent nonlinear magnetic field calculation to act
as impressed magnetic field. The current dependence of the shielding p
rovided by the steel tank is investigated. It is shown that by providi
ng an asymmetrical feed of the current, the force on the arc can be re
duced substantially.