2D analytical solution of transverse flux induction heating of the aluminum plates

This paper deals with the 2D analytical solutions of the magneto-thermal equations in the case of the aluminum plates heated by an AC three phase transverse flux inductor. In the topology of transverse flux induction heating (TFIH) considered in this work, the conductive plate is subjected to linear movement with constant speed inside the inductor. The magneto-dynamic problem is first solved, by using the separation variables method, to compute the induced currents in the aluminum plate. The result power density loss, that is the source term of the thermal problem, is used for weakly coupling the magnetodynamic problem to the thermal problem. The plate temperature profile is then obtained by solving the thermal model with an analytic method based on the Green functions. The analytical results are compared with those obtained by using a finite elements code (COMSOL).