Distributed Inter-Strand Coupling Current Model for Finite Element Simulations of Rutherford Cables

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Main Authors: Dular, Julien, Glock, Alexander, Verweij, Arjan, Wozniak, Mariusz
Format: Preprint
Published: 2025
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author Dular, Julien
Glock, Alexander
Verweij, Arjan
Wozniak, Mariusz
author_facet Dular, Julien
Glock, Alexander
Verweij, Arjan
Wozniak, Mariusz
contents In this paper, we present the Distributed Inter-Strand Coupling Current (DISCC) model. It is a finite element (FE) model based on a homogenization approach enabling efficient and accurate simulation of the transient magnetic response of superconducting Rutherford cables without explicitly representing individual strands. The DISCC model reproduces the inter-strand coupling current dynamics via a novel mixed FE formulation, and can be combined with the Reduced Order Hysteretic Magnetization (ROHM) and Flux (ROHF) models in order to reproduce the effects of internal strand dynamics: hysteresis, eddy, and inter-filament coupling currents, as well as ohmic effects. The DISCC model offers a massive reduction of the computational time compared to fully detailed FE models and still accounts for all types of loss and magnetization contributions. As a result, Rutherford cables homogenized with the DISCC model can be directly included in FE models of magnet cross-sections for efficient electro-magneto-thermal simulations of their transient response. We present two possible FE formulations for the implementation of the DISCC model, a first one based on the h-phi-formulation, and a second one based on the h-phi-a-formulation, which is well suited for an efficient treatment of the ferromagnetic regions in magnet cross-sections.
format Preprint
id arxiv_https___arxiv_org_abs_2510_24618
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Distributed Inter-Strand Coupling Current Model for Finite Element Simulations of Rutherford Cables
Dular, Julien
Glock, Alexander
Verweij, Arjan
Wozniak, Mariusz
Accelerator Physics
In this paper, we present the Distributed Inter-Strand Coupling Current (DISCC) model. It is a finite element (FE) model based on a homogenization approach enabling efficient and accurate simulation of the transient magnetic response of superconducting Rutherford cables without explicitly representing individual strands. The DISCC model reproduces the inter-strand coupling current dynamics via a novel mixed FE formulation, and can be combined with the Reduced Order Hysteretic Magnetization (ROHM) and Flux (ROHF) models in order to reproduce the effects of internal strand dynamics: hysteresis, eddy, and inter-filament coupling currents, as well as ohmic effects. The DISCC model offers a massive reduction of the computational time compared to fully detailed FE models and still accounts for all types of loss and magnetization contributions. As a result, Rutherford cables homogenized with the DISCC model can be directly included in FE models of magnet cross-sections for efficient electro-magneto-thermal simulations of their transient response. We present two possible FE formulations for the implementation of the DISCC model, a first one based on the h-phi-formulation, and a second one based on the h-phi-a-formulation, which is well suited for an efficient treatment of the ferromagnetic regions in magnet cross-sections.
title Distributed Inter-Strand Coupling Current Model for Finite Element Simulations of Rutherford Cables
topic Accelerator Physics
url https://arxiv.org/abs/2510.24618