On a fieldless method for the computation of induction-generated heat in 3D non-ferromagnetic metal bodies

被引：4

作者：

Dolezel, I

Solín, P

Ulrych, B

机构：

[1] Acad Sci Czech Republ, Inst Elect Engn, CZ-18202 Prague, Czech Republic

[2] Univ Texas, TICAM, Austin, TX 78712 USA

[3] Univ W Bohemia, Fac Elect Engn, CZ-30614 Plzen, Czech Republic

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2003年 / 61卷 / 3-6期

关键词：

induction heating; heat transfer equation; second-kind Fredholm integral equation; collocation schemes;

D O I：

10.1016/S0378-4754(02)00080-0

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper deals with the mathematical and computer modeling of the induction heating of non-ferromagnetic metal bodies in harmonic electromagnetic fields. One of the main advantages of the presented method is the elimination of the surrounding air from the electromagnetic model, which strongly reduces the necessity of meshing and simplifies the computation. The task is formulated as a non-stationary quasi-coupled problem, with respect to the temperature dependencies of all important material parameters. Distribution of the eddy currents and Joule losses in the metal body is solved by a system of second-kind Fredholm integral equations. Existence and uniqueness of solution for the continuous as well as discrete problem is shown. Convergence results for the numerical scheme are presented. The theoretical analysis is supplemented with two illustrative examples. (C) 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.

引用

页码：239 / 247

页数：9