A Surrogate model for High Temperature Superconducting Magnets to Predict Current Distribution with Neural Network

Fuente: arXiv
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Autori principali: Xiao, Mianjun, Song, Peng, Liu, Yulong, Korte, Cedric, Xu, Ziyang, Gao, Jiale, Lu, Jiaqi, Nie, Haoyang, Deng, Qiantong, Qu, Timing
Natura: Preprint
Pubblicazione: 2025
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author Xiao, Mianjun
Song, Peng
Liu, Yulong
Korte, Cedric
Xu, Ziyang
Gao, Jiale
Lu, Jiaqi
Nie, Haoyang
Deng, Qiantong
Qu, Timing
author_facet Xiao, Mianjun
Song, Peng
Liu, Yulong
Korte, Cedric
Xu, Ziyang
Gao, Jiale
Lu, Jiaqi
Nie, Haoyang
Deng, Qiantong
Qu, Timing
contents Finite element methods (FEM) for high-temperature superconducting (HTS) magnets become time-consuming at larger scales, restricting the rapid optimization of meter-scale REBCO solenoids. In this work, a surrogate model based on a fully connected residual neural network (FCRN) is developed to predict the current density distribution in REBCO solenoids. Trained on datasets generated from FEM simulations by the T-A formulation, the FCRN model is evaluated under both fast ramping and steady-state scenarios, showing a lower validation loss than the fully connected network (FCN). When extrapolating geometric parameters beyond the training set, the model achieves a relative error of below 10 % for magnetization losses in Case 1 and an average error of 1.2 % for the central magnetic field in Case 2. Furthermore, deploying the steady-state surrogate model for rapid magnet design found the optimal solution within the parameter space under constraints, with a relative central magnetic field error of 0.2 % compared to FEM results. With rapid predictions, this surrogate model offers an efficient tool for the intelligent design of large-scale HTS magnets.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06067
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Surrogate model for High Temperature Superconducting Magnets to Predict Current Distribution with Neural Network
Xiao, Mianjun
Song, Peng
Liu, Yulong
Korte, Cedric
Xu, Ziyang
Gao, Jiale
Lu, Jiaqi
Nie, Haoyang
Deng, Qiantong
Qu, Timing
Machine Learning
Finite element methods (FEM) for high-temperature superconducting (HTS) magnets become time-consuming at larger scales, restricting the rapid optimization of meter-scale REBCO solenoids. In this work, a surrogate model based on a fully connected residual neural network (FCRN) is developed to predict the current density distribution in REBCO solenoids. Trained on datasets generated from FEM simulations by the T-A formulation, the FCRN model is evaluated under both fast ramping and steady-state scenarios, showing a lower validation loss than the fully connected network (FCN). When extrapolating geometric parameters beyond the training set, the model achieves a relative error of below 10 % for magnetization losses in Case 1 and an average error of 1.2 % for the central magnetic field in Case 2. Furthermore, deploying the steady-state surrogate model for rapid magnet design found the optimal solution within the parameter space under constraints, with a relative central magnetic field error of 0.2 % compared to FEM results. With rapid predictions, this surrogate model offers an efficient tool for the intelligent design of large-scale HTS magnets.
title A Surrogate model for High Temperature Superconducting Magnets to Predict Current Distribution with Neural Network
topic Machine Learning
url https://arxiv.org/abs/2509.06067