In order to obtain efficient electromagnetic levitated systems is useful to increase the frequency of the excitation currents in the coils. This result in a small depth of penetration of the electromagnetic field in the conducting bodies and, thus, the induced currents are located in an active zone very close to its exterior surface area. Therefore, in this case, the computation of the levitation can be performed using conducting sheets and, in the case of massive conducting bodies, the sheet thickness can be considered to be the depth of penetration. The first advantage is given by the usage of the surface distribution of current density which, in the numerical solution, can be described by finite elements, the number of unknowns being equal to the number of interior nodes in the sheet surface discretization mesh. Increased frequency leads to a huge computational effort, each time period requiring a sufficient number of steps in order to obtain reliable results. In this paper, the electromagnetic field analysis is performed in the frequency domain by adding to the current sheet integral equation a term due to the motion.

Keywords: Computational electromagnetics, Eddy currents, Electromagnetic forces, Integral equations, Magnetic levitation