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New Hybrid FE-FV Method for Computing Current Distribution in 2-D Superconductors: Application to an HTS Cylinder in Transverse Magnetic Field

Abstract : This paper presents a new numerical method based on finite elements - finite volumes (FE-FV) for solving 2-D diffusion problems in high temperature superconductors (HTS). The approach does not involve directly the resistivity term (ρ), generally used to model the E(J) characteristic as a power law, i.e E(J) = ρ(J)J, with ρ(J) ∝ Jn−1. Instead, we use a J(E) constitutive law J ∝ E 1 , with E = E e z (a single component), which leads to a scalar non-linear differential equation. After presenting in details the developments, the method is tested in the case of a superconducting cylinder submitted to a transverse magnetic field. The current density obtained is compared to another numerical technique (the semi-analytical method) in order to validate the results. Although not fully optimized yet, it appears that the proposed method is very stable, especially for large n-values (greater than 100).
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Abelin Kameni, Denis Netter, Frédéric Sirois, Bruno Douine, Jean Lévêque. New Hybrid FE-FV Method for Computing Current Distribution in 2-D Superconductors: Application to an HTS Cylinder in Transverse Magnetic Field. IEEE Transactions on Applied Superconductivity, Institute of Electrical and Electronics Engineers, 2009, 19 (3), pp. 2423 - 2427. ⟨10.1109/TASC.2009.2018047⟩. ⟨hal-01236835⟩

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