Title: 3D transient analysis and movement simulation for the modelling of magnetic levitation

Authors: M'hemed Rachek, Mouloud Feliachi

Addresses: Faculte de Genie Electrique et d'Informatique, Departement d'Electrotechnique, Universite Mouloud Mammeri de Tizi-Ouzou, BP 17 RP, 15000, Algeria. ' IREENA-IUT, (CRTT) BP 406, 44602 St Nazaire, France

Abstract: This paper presents a three-dimensional transient numerical modelling of an electromagnetic levitation problem that takes movement into account. The governing eddy current equations are given in terms of magnetic vector and electric scalar potentials, and are solved with the help of 3D finite-element method tools implemented under Matlab environment. The coupled eddy current-mechanical model is carried out through the computation of electromagnetic force by volume integration of the Lorentz force, and solving the motion equation to get the displacement. To obtain an accurate solution of the magnetic field, the reverse Cuthill-McKee ordering is used to ensure fast convergence of the Incomplete Cholesky Bi-Conjugate Gradient (ICBiCG) solver. The body movement at each step displacement is simulated using the proposed Fast Partial Remeshing Technique (FPRT) in which only the moving part is remeshed without any changes on the mesh topology and on the number of degree of freedom.

Keywords: transient eddy current; magnetic force; finite element method; FEM; 3D movement simulation; modelling; magnetic levitation; electromagnetic levitation.

DOI: 10.1504/IJCAT.2007.017234

International Journal of Computer Applications in Technology, 2007 Vol.30 No.4, pp.229 - 235

Published online: 19 Feb 2008 *

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