Mathematical model of induction heating

Josef Rak

University of Pardubice, 
Faculty of Electrical Engineering and Informatics, 
Department of Mathematics and Physics

One of mathematical models of induction heating can be described by a parabolic 
differential equation with the specific Joule looses in the body. Advantage of 
this method is that the detailed knowledge of the 3D magnetic field is not 
necessary and move of the body or the inductor can be easily implemented. The 
specific Joule looses can be computed by solving the Fredholm integral equation 
of the second kind for the eddy current of density by the Nyström method with 
the singularity subtraction.