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High-temperature superconducting (HTS) coated conductors (CCs) can be wound into no-insulation (NI) coils, in which electrical current can partially bypass local normal zones via turn-to-turn contact layers (T2TCLs). Accurate…

Computational Physics · Physics 2026-05-28 Erik Schnaubelt , Louis Denis , Mariusz Wozniak , Julien Dular , Arjan Verweij

This paper deals with the modelling of superconducting and resistive wires with a helicoidal symmetry, subjected to an external field and a transport current. Helicoidal structures are three-dimensional, and therefore yield computationally…

This article presents a review of the finite element method (FEM) model based on the $H$ formulation of Maxwell's equations used to calculate AC losses in high temperature superconductor (HTS) tapes, cables and windings for different…

Superconductivity · Physics 2020-04-22 Boyang Shen , Francesco Grilli , Tim Coombs

In recent years, numerical models have become popular and powerful tools to investigate the electromagnetic behavior of superconductors. One domain where this advances are most necessary is the 3D modeling of the electromagnetic behavior of…

Superconductivity · Physics 2020-01-10 M. Kapolka , V. M. R. Zermeño , S. Zou , A. Morandi , P. L. Ribani , E. Pardo , F. Grilli

Thin-film superconducting transmission lines play important roles in many signal transmission and detection systems, including qubit coupling and read-out schemes, electron spin resonance systems, parametric amplifiers, and various ultra…

Superconductivity · Physics 2018-08-07 Songyuan Zhao , Stafford Withington , David J. Goldie , Chris N. Thomas

In this paper we derive the integral equations for radially and polygonally arranged high-temperature superconductor thin tapes and we solve them by finite-element method. The superconductor is modeled with a non-linear power law, which…

Superconductivity · Physics 2013-06-26 Roberto Brambilla , Francesco Grilli , Luciano Martini

Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

Ferromagnetic substrates can significantly influence the electromagnetic response of a coated conductor to an external magnetic field and transport current. This study analyzes this response theoretically using the thin shell…

Superconductivity · Physics 2025-04-22 Vladimir Sokolovsky , Leonid Prigozhin

We develop a unified numerical approach for modeling semiconductor-superconductor heterostructures. Our approach takes into account on equal footing important key ingredients: proximity-induced superconductivity, orbital and Zeeman effect…

Electrical machines employing superconductors are attractive solutions in a variety of application domains. Numerical models are powerful and necessary tools to optimize their design and predict their performance. The electromagnetic…

Superconductivity · Physics 2018-07-04 Roberto Brambilla , Francesco Grilli , Luciano Martini , Marco Bocchi , Giuliano Angeli

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 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

Application of an external AC magnetic field parallel to superconducting tapes helps in eliminating the magnetization caused by the shielding current induced in the flat faces of the tapes. This method helps in realizing a magnet system…

Superconductivity · Physics 2015-05-28 Kazuhiro Kajikawa , Kazuo Funaki

AC losses in conductor-on-rounded-core (CORC) cables of YBCO high-temperature superconducting (HTS) tapes are a significant challenge in HTS power applications. This study employs two finite element analysis (FEA) models to investigate the…

Superconductivity · Physics 2023-06-08 Linh N. Nguyen , Nathaniel Shields , Stephen Ashworth , Doan N. Nguyen

A Trace-Finite-Cell-Method for the numerical analysis of thin shells is presented combining concepts of the TraceFEM and the Finite-Cell-Method. As an underlying shell model we use the Koiter model, which we re-derive in strong form based…

Computational Engineering, Finance, and Science · Computer Science 2020-07-02 Michael Gfrerer

First experimental observations of the ferromagnetic shielding effect in high-Tc superconducting coated conductors were carried out. Experimental results were compared to simulations calling upon finite-element calculations based on the…

The ingredients normally required to achieve topological superconductivity (TSC) are Cooper pairing, broken inversion symmetry, and broken time-reversal symmetry. We present a theoretical exploration of the possibility of using ultra-thin…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Chao Lei , Hua Chen , Allan H. MacDonald

Combining spin textures in ultra-thin films with conventional superconductors has emerged as a powerful and versatile platform for designing topologically non-trivial superconducting phases as well as spin-triplet Cooper pairs. As a…

Determining the optimal arrangement of superconducting layers to withstand large amplitude AC magnetic fields is important for certain applications such as superconducting radiofrequency cavities. In this paper, we evaluate the shielding…

Accelerator Physics · Physics 2015-11-04 Sam Posen , Mark K. Transtrum , Gianluigi Catelani , Matthias U. Liepe , James P. Sethna