Simulation of Dynamic Levitation Force Taking Flux Creep Into Account

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

“…In the same way the control volume method is used to solve the algebraic equation of the differential thermal equation (9). The obtained algebraic system when taking into account the boundary conditions 10…”

“…The limits cases of n are the ohmic conductors law for (n=1) and the Bean's model for (n→∞). Generally, n varies from 5 to 25 to describe the flux creep behaviour [9]. For the used material in our work (YBaCuo), the good value of n is taken equal to 20 at T = 77 K [13].…”

“…In the literature, some macroscopic mathematical models were proposed to reflect the flux creep and the flux flow phenomena of superconductivity such as the model proposed by Anderson-Kim [6] or the model of power law proposed by Rhyner [7]. These models lead to good agreements with experimental data [9].…”

“…To represent the physical phenomena of the magnetic levitation, several works with different numerical methods and different magnetic formulations have been used to evaluate precisely the magnetic force which is the important parameter to consider [5]- [9]. However, these works do not take into consideration the thermal effect which can play an important role.…”