Superconducting Magnetic Levitation Systems Levitating Force

Superconducting suspension system is one of the important applications ofsuperconductors, which can suspend up the objects by the diamagnetic and pinningnature of superconductor. Compared with other traditional physical suspended it hasmany distinct merits.This article describes macroscopic electromagnetic characteristics ofsuperconductor with the Maxwell equations, based on the nonlinear electromagneticconstitutive E-J relations and structural characteristics of superconductor, making useof finite element methods and computer, which can calculate complicated problem ina short time, the numerical methods which quantitatively analyze superconductingsuspension system are established.In the low-temperature superconducting suspension system which composed ofcolumned superconductor and superconductive coil, based on superconductor partialdifferential equation that deduced by the magnetic vector potential A method,extrapolated finite element equations to calculate superconductor shielding current,and deal with the static levitation characteristics of cryogenic suspension system.Obtained the relationship between static levitation force and the current in thelevitation coil, geometric size of the levitation coil. Furthermore analyzed thespherical superconductor and superconductive coil suspension system through thisnumerical method.In the high-temperature superconductive suspended system which composed ofcolumned superconductor and permanent, based on superconductor partial differentialequation that deduced by current vector potential T method, complex shielding currentdistribution and change in the high-temperature superconductor are gained. The paperchooses two systemic parameters which has experimental results to simulatequantitatively, the static levitation force-gap curves of two groups coincide with theexperimental results, the static levitation force between the high-temperaturesuperconductor and permanent shows hysteresis properties, this phenomenon can beexplained essentially by shielding current distribution. Finally detailedly analyze theinfluencing rules of static levitation force by the systemic material parameters,geometric parameters and cooling height, a lot of conclusions that obtained are helpfulfor practical applications.Finally carry through preliminary analysis of dynamic levitation force of thesuspension system with the use of magnetic flux flow and creep models, thedependent relations between the dynamic levitation force and the time are obtained,which coincide with the results of experiments and found that the use of magnetic fluxflow and creep model can more accurately reflect the dynamic characteristics ofsuspend systems than the critical models.In conclusion, this paper quantitatively analyzes the static characteristics of thesuperconducting suspension system and have obtained some results .These results notonly are firm foundations for the further theoretical analysis, but also can guideengineering design in practice.