Numerical analysis of frozen field model for levitation force of HTSC

Tsuchimoto, M.; Kojima, T.; Honma, Tetsuo

doi:10.1016/0011-2275(94)90067-1

Cited by 24 publications

(4 citation statements)

References 12 publications

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“…25,26 It is therefore necessary to incorporate such a dependence in the study of the levitation of type-II superconductors. Although in numerical calculations by Tsuchimoto et al 27 a Kim's model dependence for the critical current density was implemented, a general study of the effect of this dependence has not been done yet. This paper is structured as follows.…”

Section: Introductionmentioning

confidence: 97%

Magnetic levitation of superconductors in the critical state

Navau

Sanchez

1998

Phys. Rev. B

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The vertical levitation force in a cylindrically symmetric system composed of a permanent magnet and a type-II superconductor is studied assuming the latter to be in a critical state. In a first step, a constant-fieldgradient approximation along the length of the superconductor is used to see the effects of the dependence of the critical current density on the internal magnetic field. In a second step, the theory is generalized in order to study the case when the field gradient is not constant, as is usually found in levitation experiments with bulk superconducting samples. The model results are discussed in relation to recent experimental data on magnetic levitation of high-T c superconductors, explaining the observed behavior and making some predictions for future experiments. ͓S0163-1829͑98͒00426-3͔

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Section: Introductionmentioning

confidence: 97%

Magnetic levitation of superconductors in the critical state

Navau

Sanchez

1998

Phys. Rev. B

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“…permanent magnets (PMs) and HTSCs. To describe the wide range of possible applications of HTSCs, different calculation methods/models of the HTSC‐PM interaction have to be developed (Tsuchimoto et al , 1993, 1994a, b). They have to be applicable for the design and optimisation of such HTSC systems (Lee, 2001; Sheanen, 1994).…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the magnetic field – high temperature superconductor interactions

May

Pałka

Portabella

et al. 2004

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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To describe the wide range of possible applications of high temperature superconductors (HTSCs) (e.g. magnetic bearings, levitation systems or electrical machines) several appropriate calculation algorithms have been developed. They determine the force interaction between a superconductor and any even multidimensional magnetic field excitation system. Especially good agreements between experiments and computed results have been obtained for the Vector‐Controlled Model, which seems to be the best approximation of the macroscopic superconductivity behaviour. The validation of this model by means of measurements makes it a powerful tool for the design and optimisation of any HTSC application in the field of force generation. It can be used not only for the designing of levitation applications, but also to help the understanding of the flux penetration, flux trapping and magnetisation of bulk superconductors in non‐uniform magnetic fields. By means of this model, the force interaction between superconductors and external magnetic fields for practical multi‐polar configurations, e.g. superconducting levitation systems or inherently stable superconducting bearings has been determined. Furthermore, the time dependency of the forces taking flux flow and flux creep into account, can be considered.

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“…The solution of this Poisson equation is [13] (4) in which is the integral kernel [15]. This expression can also be inverted and formally written as 5Here is the inverse kernel defined as (6) According to the induction law , we have . Then we have…”

Section: Model and Expressionsmentioning

confidence: 99%

“…Some calculations exploit the Bean model to preset a current distribution and then adjust the boundary of the current-flowing area by fitting to experimental data. Later some im-proved results have been made to consider the field-dependent by using Kim-type dependence [6]. Early calculations of the levitation force neglected the demagnetizing effect, which is substantial in most of the realistic configurations in both experimental research and application prototypes.…”

Section: Introductionmentioning

confidence: 99%

Effects of the field dependent J/sub c/ on the vertical levitation force between a superconductor and a magnet

Qin²,

Liu³

et al. 2003

IEEE Trans. Appl. Supercond.

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The vertical levitation force between a superconductor disk (SC) and a permanent magnet disk (PM) has been calculated from first principles using different (B) relationships on the magnetic field. Based upon the first principles, the current distribution inside the SC induced by the applied inhomogeneous magnetic field generated by the PM and the field profiles have been calculated with a power law relationship: () = (J J (B)). The levitation force is highly hysteretic for the approaching and the retreating branches. The saturated current value, magnetization, and levitation force are found to depend strongly on the (B) relations. Features of the supercurrent distribution, the force loop, and the levitation force density are discussed.

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Numerical analysis of frozen field model for levitation force of HTSC

Cited by 24 publications

References 12 publications

Magnetic levitation of superconductors in the critical state

Magnetic levitation of superconductors in the critical state

Evaluation of the magnetic field – high temperature superconductor interactions

Effects of the field dependent J/sub c/ on the vertical levitation force between a superconductor and a magnet

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