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The emergence of second-generation high temperature superconducting tapes has favored the development of large-scale superconductor systems. The mathematical models for superconductors have evolved from simple analytical models to complex…

The emergence of second-generation high temperature superconducting tapes has favored the development of large-scale superconductor systems. The mathematical models capable of estimating electromagnetic quantities in superconductors have…

Applied Physics · Physics 2019-03-01 Edgar Berrospe-Juarez , Victor M R Zermeno , Frederic Trillaud , Francesco Grilli

The modeling and analysis of superconducting coils is an essential task in the design stage of most devices based on high-temperature superconductors (HTS). These calculations allow verifying basic estimations and assumptions, proposing…

Superconductivity · Physics 2022-06-28 Carlos Roberto Vargas-Llanos , Felix Huber , Nicolo Riva , Min Zhang , Francesco Grilli

This study presents an HTS electromagnetic model combining the thin-strip, homogeneous and multi-scale methods using T-A formulation. In particular, we build the thin strips as both the analyzed HTS tapes and the boundaries of the…

Superconductivity · Physics 2022-05-18 Lei Wang , Yan Chen

Homogenization techniques are an appealing approach to reduce computational complexity in systems containing coils with large numbers of high temperature superconductor (HTS) tapes. Resolving all the coated conductor layers and turns in…

Computational Engineering, Finance, and Science · Computer Science 2026-01-06 Elias Paakkunainen , Louis Denis , Christophe Geuzaine , Paavo Rasilo , Sebastian Schöps

Numerical models are powerful tools to predict the electromagnetic behavior of superconductors. In recent years, a variety of models have been successfully developed to simulate high-temperature-superconducting (HTS) coated conductor tapes.…

Superconductivity · Physics 2016-02-17 Loïc Quéval , Víctor M. R. Zermeño , Francesco Grilli

Numerical models based on the finite-element method (FEM) are popular tools for investigating the macroscopic electromagnetic behavior of high-temperature superconductor (HTS) applications. This article explains how to use the $T$-$A$…

We make progress towards a 3D finite-element model for the magnetization of a high temperature superconductor (HTS): We suggest a method that takes into account demagnetisation effects and flux creep, while it neglects the effects…

The estimation of losses in high-temperature superconductors (HTS) is fundamental during the design of superconducting devices since losses can strongly influence the cooling system requirements and operating temperature. Typically, 2D…

Superconductivity · Physics 2021-03-29 Carlos Roberto Vargas-Llanos , Francesco Grilli

Modelling high temperature superconductor (HTS) motors remains challenging mainly due to the high aspect ratio of these conductors but also because of the properties of the magnetic materials. This paper presents a 2D time dependent model…

Numerical methods for modeling thin-film magnetization are primarily focused on computing the current density distribution. The highly nonlinear current-voltage characteristic of type-II superconductors significantly complicates the…

Superconductivity · Physics 2026-05-15 Leonid Prigozhin , Vladimir Sokolovsky

We discuss the relevance of several finite-element formulations for nonlinear systems containing high-temperature superconductors (HTS) and ferromagnetic materials (FM), in the context of a 3D motor pole model. The formulations are…

Accelerator Physics · Physics 2024-06-25 Julien Dular , Kévin Berger , Christophe Geuzaine , Benoît Vanderheyden

In this paper, we present a general review of the status of numerical modelling applied to the design of high temperature superconductor (HTS) devices. The importance of this tool is emphasized at the beginning of the paper, followed by…

Superconductivity · Physics 2017-05-30 Frédéric Sirois , Francesco Grilli

HTS are feasible for hight power applications because of the smaller consumption demand of the cooling system in comparison to the whole power device. Real industral devices contain superconductors with 2D and 3D geometry (coated conductors…

Superconductivity · Physics 2019-07-23 M Kapolka

Although the H-formulation has proven to be one of the most versatile formulations used to accurately model superconductors in the finite element method, the use of vector dependent variables in non-conducting regions leads to unnecessarily…

Superconductivity · Physics 2021-04-20 Alexandre Arsenault , Frédéric Sirois , Francesco Grilli

High temperature superconducting (HTS) bulks can be magnetized to become powerful trapped field magnets (TFMs), which are promising for high-performance electrical applications. To magnetize such TFMs, pulsed field magnetization (PFM) is…

Superconductivity · Physics 2015-11-03 Shengnan Zou , Víctor M. R Zermeño , Francesco Grilli

While for many years the lattice, electronic and magnetic complexity of high-temperature superconductors (HTS) has been considered responsible for hindering the search of the mechanism of HTS now the complexity of HTS is proposed to be…

Superconductivity · Physics 2012-06-13 Antonio Bianconi , Nicola Poccia

A novel use of high temperature superconducting (HTS) electromagnets for human sized microgravity research and mitigation is outlined. Recent advances in HTS technology have resulted in electromagnets that potentially could levitate large…

Popular Physics · Physics 2020-04-22 G. Bruhaug , L. Beveridge

Efficient numerical models are required for the design of systems with high temperature superconductor (HTS) coils, as fully resolved finite element simulations of individual coated conductors become computationally prohibitive. This work…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Elias Paakkunainen , Louis Denis , Benoît Vanderheyden , Christophe Geuzaine , Paavo Rasilo , Sebastian Schöps

The simulation of large-scale high-temperature superconducting (HTS) magnets is a computational challenge due to the multiple spatial scales involved, from the magnet to the detailed turn-to-turn geometry. To reduce the computational cost…

Accelerator Physics · Physics 2025-10-13 Louis Denis , Benoît Vanderheyden , Christophe Geuzaine
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