From Bean's model to the H-M characteristic of a superconductor: some numerical experiments

Maslouh, M.; Bouillault, Frédéric; Bossavit, Alain; Verite, J.C.

doi:10.1109/77.622977

Cited by 37 publications

(31 citation statements)

References 7 publications

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“…1c) may be more realistic [20,21]. This E(J ) law has been approximated by a function having neither zero nor infinite slopes in some works on magnetization of bulk superconductors [22,23]. Although the numerical schemes based on these approximations perform sufficiently well, their convergence and stability usually become less satisfactory the closer they approximate multi-valued current-voltage relations.…”

Section: Variational Formulationmentioning

confidence: 96%

Solution of Thin Film Magnetization Problems in Type-II Superconductivity

Prigozhin

1998

Journal of Computational Physics

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Section: Variational Formulationmentioning

confidence: 96%

Solution of Thin Film Magnetization Problems in Type-II Superconductivity

Prigozhin

1998

Journal of Computational Physics

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“…Our work is based on this code. The method consists in using a model with two slopes instead of Bean's model [5]. But for the superconductors at high critical temperature, the real characteristic differs rather clearly from that of Bean's model, a more realistic model can be obtained by a progressive function [6].…”

Section: Simulation Results and Discussionmentioning

confidence: 99%

Magnetization Modeling of Twisted Superconducting Filaments

Satiramatekul

Bouillault

Devred

et al. 2007

IEEE Trans. Appl. Supercond.

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Abstract-This paper presents a new Finite Element numerical method to analyse the coupling between twisted filaments in a superconducting multifilament composite wire. To avoid the large number of elements required by a 3D code, the proposed method makes use of the energy balance principle in a 2D code. The relationship between superconductor critical current density and local magnetic flux density is implemented in the program for the Bean and modified Kim models. The modeled wire is made up of six filaments twisted together and embedded in a low-resistivity matrix. Computations of magnetization cycle and of the electric field pattern have been performed for various twist pitch values in the case of a pure copper matrix. The results confirm that the maximum magnetization depends on the matrix conductivity, the superconductor critical current density, the applied field frequency, and the filament twist pitch. The simulations also lead to a practical criterion for wire design that can be used to assess whether or not the filaments are coupled.

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“…This model is numerically unusable because the graph of j-e is not a one-to-one function. Therefore, we have introduced an approximation of Bean's model by using three others parameters e c , e n , and j n (see in [2]). Consequently, in order to model the superconducting line, we have been led to solve a strong nonlinear problem of Stefan type.…”

Section: Modelmentioning

confidence: 99%

“…One model has been applied to the computation of the losses in the superconductor materials [2]. In this work, we have used it for calculating the losses in an infinitely long superconducting line plunged in a uniform field varying periodically in time.…”

Section: Introductionmentioning

confidence: 99%

A superconductor material model for hysteresis losses computation

Satiramatekul

Bouillault²

2007

Phys. Status Solidi (c)

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PACS 74.25.Ha, 75.40.Mg, 75.60.Ej The aim of this work was to calculate the hysteresis losses in the superconductor materials. For that, we used one macroscopic model which obtained by altering Bean's model. We propose the finite element method for the numerical modeling. Our problem consists of an infinitely long superconducting line plunged in a uniform field varying periodically in time. In this paper, we present the influence of the shape and the amplitude of the applied magnetic field to the instantaneous losses. We also present two various methods for calculating the average losses. Moreover, we could in particular obtain the quantities such as the current density or the magnetization in order to know the phenomenon of superconductivity in superconductor materials.

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From Bean's model to the H-M characteristic of a superconductor: some numerical experiments

Cited by 37 publications

References 7 publications

Solution of Thin Film Magnetization Problems in Type-II Superconductivity

Solution of Thin Film Magnetization Problems in Type-II Superconductivity

Magnetization Modeling of Twisted Superconducting Filaments

A superconductor material model for hysteresis losses computation

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