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 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.
REFERENCES
1.
P.
Solin
, I.
Dolezel
, M.
Skopek
, and B.
Ulrych
, SPETO 2001 International Conference
143
–146
(2001
).2.
J.
Rak
, EPJ Web of Conferences
92
, p. 02075
(2015
).3.
K. E.
Atkinson
, The numerical solution of integral equations of the second kind
(Cambridge University Press
, New York
, 1997
).4.
L. V.
Kantorovich
and V. I.
Krylov
, Approximate methods of higher analysis
(Interscience Publishers
, New York
, 1958
).5.
P. M.
Anselone
, Collectively compact operator approximation theory and applications to integral equations
(Prentice-Hall
, Englewood Cliffs, N.J., [
1971
]).
This content is only available via PDF.
© 2017 Author(s).
2017
Author(s)
You do not currently have access to this content.
