Temperature solver for highly nonlinear ferromagnetic materials for thin moving sheets in transversal flux induction heating

In this paper, a successive iteration method has been applied to a highly nonlinear temperature problem. The nonlinearity arises from the specific heat of ferromagnetic materials. These materials are heat treated in transversal flux inductive heating devices (TFIH) as thin strips. The convergence behavior is examined and compared to the classical Newton-Raphson scheme. Additionally, a method will be presented which takes phase change energies of the material into account.