3-D Numerical Modeling of AC Losses in Multifilamentary MgB<sub>2</sub>Wires

Escamez, Guillaume; Sirois, Frédéric; Lahtinen, Valtteri; Stenvall, Antti; Badel, Arnaud; Tixador, Pascal; Ramdane, Brahim; Meunier, G.; Perrin-Bit, Rémy; Bruzek, Christian-Éric

doi:10.1109/tasc.2016.2533024

Cited by 23 publications

(18 citation statements)

References 20 publications

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“…In truth, other implementations of the H-formulation FEM model have been proposed. These include commercial software packages, like FlexPDE [25] and Matlab [72], open-source environments like GetDP [73][74][75], and home-made FEM codes like Daryl Maxwell [57]. However, these represent a minority.…”

Section: Discussionmentioning

confidence: 99%

“…Makong et al developed a simplified version of the 3D H-formulation FEM model to simulate the performance and AC loss of the twisted multifilamentary HTS wires subjected to the transverse magnetic fields [56]. Escamez et al developed a 3D H-formulation FEM model to analyse the AC losses in the MgB2 wires with 6, 18 and 36 filaments, and also considered the impact of nonlinear permeability materials [57]. Kan et al carried out an AC loss study of quasi-isotropic strands cable manufactured by HTS, and they simulated the magnetization AC loss in the temperatures of 4.2 and 77 K [58].…”

Section: H-formulation For the Ac Loss In Hts Cablesmentioning

confidence: 99%

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Review of the AC loss computation for HTS using H formulation

Shen

Grilli

Coombs

2020

Supercond. Sci. Technol.

201

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This paper overviews the computation of the alternating current (AC) loss in high temperature superconductors (HTS) based on the finite-element method (FEM) using H-Formulation. A great amount of studies shows that the AC loss calculation results from H-Formulation agree well with the experiment results. As one of the most reliable numerical modeling methods, H-Formulation is able to calculate the AC loss from a wide range of HTS topologies. In this paper, we review these contributions on the AC loss calculation using H-Formulation, from small-scale HTS tapes and coils, HTS cables, to large-scale HTS applications.

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Section: Discussionmentioning

confidence: 99%

Section: H-formulation For the Ac Loss In Hts Cablesmentioning

confidence: 99%

Review of the AC loss computation for HTS using H formulation

Shen

Grilli

Coombs

2020

Supercond. Sci. Technol.

201

View full text Add to dashboard Cite

show abstract

“…Equation ( 3) can be solved by FEM software programs such as COMSOL Multiphysics [24], Matlab [30], FlexPDE [31], home-made FEM codes such as Daryl Maxwell [32], and open-source environments such as GetDP [33].…”

Section: Basics Of the H-formulationmentioning

confidence: 99%

Overview of H-Formulation: A Versatile Tool for Modeling Electromagnetics in High-Temperature Superconductor Applications

2020

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This paper reviews the modeling of high-temperature superconductors (HTS) using the finiteelement method (FEM) based on the H-formulation of Maxwell's equations. This formulation has become the most popular numerical modeling method for simulating the electromagnetic behavior of HTS, especially thanks to the easiness of implementation in the commercial finite-element program COMSOL Multiphysics. Numerous studies prove that the H-formulation is able to simulate a wide scope of HTS topologies, from simple geometries such as HTS tapes and coils, to more complex HTS devices, up to large superconducting magnets. In this paper, we review the basics of the H-formulation, its evolution from 2D to 3D, its application for calculating critical currents and AC losses as well as magnetization of HTS bulks and tape stacks. We also review the use of the H-formulation for large-scale HTS applications, its use to solve multi-physics problems involving electromagnetic-thermal and electromagnetic-mechanical couplings, and its application to study the dynamic resistance of superconductors and flux pumps. INDEX TERMSReview, H-formulation, high temperature superconductor (HTS), finite-element method (FEM).

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“…The Magnetic Field Formulation (mfh) module based on H formulation was integrated in COMSOL Multiphysics® since version 4.3b: from an application perspective, this allowed a more convenient implementation of the H formulation than the original ones based on the Partial Differential Equation (pde) module [42]. In terms of AC loss of HTS cables, the 3D H formulation has been applied to many structures including CORC® [22], Roebel [19] and twisted multifilamentary MgB 2 wires [43].…”

Section: B H Formulationmentioning

confidence: 99%

Numerical Modeling of AC Loss in HTS Coated Conductors and Roebel Cable Using T-A Formulation and Comparison With H Formulation

Yan

Grilli

2021

IEEE Access

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With recent advances in second-generation high temperature superconductors (2G HTS) and cable technologies, various numerical models based on finite-element method (FEM) have been proposed to help interpret measured AC loss and assist cable design. The T-A formulation, implemented in COMSOL, shows great potential for reducing the overall computation costs. In this paper, the performance of the T-A formulation for calculating the AC loss of coated superconductors and cables were assessed and compared against the widely accepted H formulation, with benchmark model of a single REBCO tape in 2D/3D and a 14strand Roebel cable. Evaluation and comparison on key metrics including the computation time, the number of degrees of freedom and the numerical accuracy were presented, which could provide a reference for researchers in applying the T-A formulation for AC loss calculation.

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3-D Numerical Modeling of AC Losses in Multifilamentary MgB₂Wires

Cited by 23 publications

References 20 publications

Review of the AC loss computation for HTS using H formulation

Review of the AC loss computation for HTS using H formulation

Overview of H-Formulation: A Versatile Tool for Modeling Electromagnetics in High-Temperature Superconductor Applications

Numerical Modeling of AC Loss in HTS Coated Conductors and Roebel Cable Using T-A Formulation and Comparison With H Formulation

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3-D Numerical Modeling of AC Losses in Multifilamentary MgB2Wires

Cited by 23 publications

References 20 publications

Review of the AC loss computation for HTS using H formulation

Review of the AC loss computation for HTS using H formulation

Overview of H-Formulation: A Versatile Tool for Modeling Electromagnetics in High-Temperature Superconductor Applications

Numerical Modeling of AC Loss in HTS Coated Conductors and Roebel Cable Using T-A Formulation and Comparison With H Formulation

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3-D Numerical Modeling of AC Losses in Multifilamentary MgB₂Wires