Numerical study of the influence of flux creep and of thermal effect on dynamic behaviour of magnetic levitation systems with a high-T_c superconductor using control volume method

¹ Laboratoire de Génie Électrique de Paris – LGEP, CNRS UMR 8507, Supélec, Université Pierre et Marie Curie, Paris 6
² Université Paris Sud-Paris 11, Plateau de Moulon, 11 rue Joliot Curie, 91192 Gif-Sur-Yvette Cedex, France
³ Laboratoire de Modélisation des Systèmes Énergétiques – LMSE
⁴ Département d'Électrotechnique, Université Mohamed Kheider, 07000 Biskra, Algeria

Corresponding author: lotfi.alloui@lgep.supelec.fr

Received: 1 July 2008
Revised: 3 October 2008
Accepted: 11 December 2008
Published online: 31 January 2009

Abstract

This paper displays some simulation results of dynamic responses of the high-T_c superconductors (HTSC)-Permanent magnet (PM) levitation systems taking into account the influence of the flux creep phenomena and of the thermal effect. We focus on the establishment of a three-dimensional numerical code to solve the nonlinear and coupled equations. A new control volume method is proposed for the resolution of the partial derivative equations of the treaded physical phenomena. The influence is comprehensively displayed by comparing the predictions of dynamic responses of such systems in which the thermal effect in the superconductor is and is not taken into account. The electromagnetic and thermal coupling is ensured by an alternate algorithm. The thermal effect highlights the influence of the temperature on the value of the magnetic levitation force, levitation stabilization time and shows that the vibration center of levitated body had drifted downward.