to the lining, and the applied voltage. In most studies, the influence of the described factors on the LWC is not taken into account. At the same time, heat fluxes affecting all elements of the furnace structure, including the lining, depend on the shape of the arc.The aim of the work is to study this effect and find the parameters that provide optimization of the LWC. To achieve this goal, an algorithm for calculating the shape of arcs in an AC steelmaking furnace has been developed, which will be used to optimize the objective function. Analysis of the shape of alternating current electric arcs parallel burning in the direction of the horizontal surface during their electromagnetic interaction and the influence of this shape on the lining wear coefficientThe electromagnetic interaction of the arcs is determined by the equilibrium equation of the arc column element [3][4][5][6]