Numerical study of the relation between the thermal effect and the stability of the levitation system excited by an external source

In this paper we present a numerical analysis of dynamic features of the levitation system generated by an interaction between a levitated permanent magnet (PM) and a high-Tc superconductor (HTSC) excited by an oscillatory external source where the thermal effect inside the superconductor is taken into account in a macro-model of superconductivity. The comportment is comprehensively displayed by comparing the dynamic responses of such systems in which the thermal effect in superconductor is and is not taken into account. The obtained results show that the thermal effect is related to the stability of the levitation system. This effect appears significantly in the case of unstable levitation systems. The results obtained show that the thermal effect and the stability of the levitation system depend mainly on some parameters related to the external source, such as the frequency and the amplitude of the applied external source. In this paper, the numerical problem is solved by using the control volume method (CVM) and the electromagnetic and thermal coupling is ensured by an alternate algorithm.

► A numerical analysis of dynamic features of the levitation system is presented. ► In our model, the thermal effect inside the superconductor is taken into account. ► The obtained results show that the thermal effect is related to the stability of the levitation system. ► This effect appears significantly in the case of unstable levitation systems.