Hyperbolic Basis Functions for Time-Transient Analysis of Eddy Currents in Conductive and Magnetic Thin Sheets

Alves, Bruno de Sousa; Sabariego, Ruth V.; Laforest, Marc; Sirois, Frédéric

doi:10.1109/tmag.2021.3111519

Cited by 5 publications

(1 citation statement)

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“…This approach is called strip approximation [20], and it has been originally implemented with integral methods [21]. The strip approximation implies that the tangential components of H have a linear profile inside the tape, which differs from the hyperbolic profiles encountered in the classical TS model [22]. Only the losses related to the normal flux density components (edge losses) are taken into account by this approximation, which means that the so-called top/bottom losses [23] are disregarded.…”

Section: Introductionmentioning

confidence: 99%

Thin-shell approach for modeling superconducting tapes in the H-φ finite-element formulation

Alves

Lahtinen

Laforest

et al. 2021

Supercond. Sci. Technol.

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This paper presents a novel finite-element approach for the electromagnetic modeling of superconducting coated conductors with transport currents. We combine a thin-shell (TS) method to the H-Φ formulation to avoid the meshing difficulties related to the high aspect ratio of these conductors and reduce the computational burden in simulations. The interface boundary conditions in the TS method are defined using an auxiliary 1-D finite-element (FE) discretization of N elements along the thinnest dimension of the conductor. This procedure permits the approximation of the superconductor's nonlinearities inside the TS in a time-transient analysis. Four application examples of increasing complexity are discussed: (i) single coated conductor, (ii) two closely packed conductors carrying anti-parallel currents, (iii) a stack of twenty superconducting tapes and a (iv) full representation of a HTS tape comprising a stack of thin films. In all these examples, the profiles of both the tangential and normal components of the magnetic field show good agreement with a reference solution obtained with standard black2-D H-Φ formulation. Results are also compared with the widely used T-A formulation. This formulation is shown to be dual to the TS model with a single FE (N=1) in the auxiliary 1-D systems. The increase of N in the TS model is shown to be advantageous at small inter-tape separation and low transport current since it allows the tangential components of the magnetic field to penetrate the thin region. The reduction in computational cost without compromising accuracy makes the proposed model promising for the simulation of large-scale superconducting applications.

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