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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

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

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

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 $T$-$A$…

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 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

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

This paper presents a novel finite-element approach for the electromagnetic modeling of superconducting coated conductors. We combine a thin-shell (TS) method to the $H$-$\phi$ formulation to avoid the meshing difficulties related to the…

Computational Physics · Physics 2022-01-12 Bruno de Sousa Alves , Valtteri Lahtinen , Marc Laforest , Frédéric Sirois

Use of 2G HTS coated conductors in several power applications has become popular in recent years. Their large current density under high magnetic fields makes them suitable candidates for high power capacity applications such as stacks,…

Superconductivity · Physics 2015-06-17 Victor M. R. Zermeño , Francesco Grilli

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

The emergence of second generation (2G) high-temperature superconductor (HTS) tapes has favored the development of HTS magnets for their applications in areas such as NMR, MRI and high field magnets. The screening current-induced field and…

A homogenization method to model a stack of second generation (2G) High Temperature Superconducting (HTS) tapes under AC applied transport current or magnetic field has been obtained. The idea is to find an anisotropic bulk equivalent for…

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…

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) stacks of coated conductors (CCs) can work as strong trapped field magnets (TFMs) and show potential in electrical applications. Pulsed field magnetization (PFM) is a practical method to magnetize such…

Superconductivity · Physics 2018-07-04 Shengnan Zou , Victor Manuel Rodriguez Zermeno , Francesco Grilli

In conventional finite element simulations, foil windings with thin foils and with a large number of turns require many mesh elements. This renders models quickly computationally infeasible. This paper uses a homogenized foil winding model…

Computational Engineering, Finance, and Science · Computer Science 2023-11-07 Jonas Bundschuh , Yvonne Späck-Leigsnering , Herbert De Gersem

In this work we present a modeling tool designed to estimate the hysteretic losses in the coils of an electric generator with coils made of coated conductor tapes during transient operation. The model is based on a two-stage segregated…

Conductors made of high-temperature (HTS) wires helically wound in one or more layers on round tubes (CORT) are compact, flexible, and can carry a large amount of current. Although these conductors were initially developed for DC…

Superconductivity · Physics 2024-02-27 Steffen Elschner , Andrej Kudymow , Nicolo Riva , Francesco Grilli
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