Iterative hybrid finite element-boundary element method for the analysis of induction heating system with nonlinear charge

Abstract

The iterative hybrid finite element-boundary element method is applied for the analysis of induction heating systems with rotational symmetry in unbounded free space. A mathematical boundary is defined arbitrarily in free space to enclose the system. The finite elements formulation is applied for the interior region and the boundary integral formulation is applied on the boundary using the response function excited by a circular line current. A quasistatic magnetic field problem is solved in terms of the magnetic vector potential. A ferromagnetic charge of nonlinear magnetic properties is considered. An iterative technique is used to correct the permeability values and the effect of nonlinearity is calculated. The accuracy of the method is verified with measurements of practical induction heating systems.