Finite element based simulation of induction heating the moving cylindrical ferromagnetic billets

摘要

Mathematical model making allowances for the billet's phase heterogeneity as well as voltage difference in various inductor turns and the current density nonuniformity in the tube section is proposed. It is shown that proper mathematical modeling the process of induction heating of moving cylindrical ferromagnetic billets, using the finite element method, requires a solution of the coupled heat and electromagnetic boundary problem, supplemented by additional degrees of freedom, describing the nonuniformity of the voltage distribution in the inductor turns.