Nonlinear eddy current analysis by BEM for thin plate employing simple iterative approach

Issue title: Selected Papers from the 14th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2009), Part I

Article type: Research Article

Authors: Ishibashi, Kazuhisa^{a; *} | Andjelic, Zoran^b | Pusch, David^b

Affiliations: [a] Department of Mechanical Engineering, Tokai University, 2-28-4 Tomigaya, Shibuya-ku, Tokyo 151-8677, Japan | [b] Corporate Research, ABB Switzerland Ltd, Baden, CH-5405, Switzerland

Correspondence: [*] Corresponding author. Tel.: +81 3 3424 2596; Fax: +81 3 3424 2596; E-mail: yui@g03.itscom.net

Abstract: Nonlinear eddy currents induced in steel plate are formulated by the boundary integral equations. The integral equations for the nonlinear analysis are derived by regarding nonlinear terms as fictitious sources. As the periodic electromagnetic quantities in the steel plate are distorted, these fields are expressed with the help of Fourier series, whose fundamental and harmonic fields are determined by solving the corresponding integral equations with the surface magnetic fields given as the boundary values. The internal and surface electromagnetic fields are obtained numerically one after the other until convergence. In this iterative solution, Newton-Raphson method has been adopted but it is not applicable if the plate thickness approaches zero. So as to solve the difficulty, we adopt a simple iterative method and have confirmed that the method is effective.

Keywords: Boundary element method, simple iterative solutions, nonlinear eddy current analysis, thin steel plate

DOI: 10.3233/JAE-2010-1134

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 33, no. 1-2, pp. 361-367, 2010