利用瞬态场测量对钢带进行磁性表征:从机器学习角度进行全局敏感性分析和回归

IF 2 2区 数学 Q1 MATHEMATICS, APPLIED
A. Skarlatos, R. Miorelli, C. Reboud, Frenk van den Berg
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引用次数: 0

摘要

本文使用有限积分技术 (FIT) 生成的场梯度瞬态合成数据研究了钢带的磁特性。使用 Jiles-Atherton (JA) 模型对材料定律进行了描述和参数化。然后使用两种全局方法分析了相关磁性指标对材料参数的敏感性:Sobol 指数和 $\delta$ 敏感性指数。为了加速这些量的评估,利用机器学习技术从模拟数据集中建立了一个快速元模型。基于定制学习框架的逆问题解决方案针对不同的拟议标识符进行了测试,最后讨论了它们是否适合相关材料的磁性特征描述。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Magnetic characterisation of steel strips using transient field measurements: global sensitivity analysis and regression from a machine-learning perspective
In this contribution, the magnetic characterisation of steel strips is studied using synthetic data of field-gradient transients, which have been produced via the finite integration technique (FIT). The material law is described and parametrized using the Jiles-Atherton (JA) model. The sensitivity of relevant magnetic indicators with respect to the material parameters is then analyzed using two global methods: Sobol indices and $\delta$-sensitivity indices. In order to accelerate the evaluation of these quantities, a fast metamodel is built using machine learning techniques from a simulated dataset. The solution of the inverse problem based on a tailored learning framework is tested for the different proposed identifiers, and their suitability for the magnetic characterisation of the material in question is finally discussed.
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来源期刊
Inverse Problems
Inverse Problems 数学-物理:数学物理
CiteScore
4.40
自引率
14.30%
发文量
115
审稿时长
2.3 months
期刊介绍: An interdisciplinary journal combining mathematical and experimental papers on inverse problems with theoretical, numerical and practical approaches to their solution. As well as applied mathematicians, physical scientists and engineers, the readership includes those working in geophysics, radar, optics, biology, acoustics, communication theory, signal processing and imaging, among others. The emphasis is on publishing original contributions to methods of solving mathematical, physical and applied problems. To be publishable in this journal, papers must meet the highest standards of scientific quality, contain significant and original new science and should present substantial advancement in the field. Due to the broad scope of the journal, we require that authors provide sufficient introductory material to appeal to the wide readership and that articles which are not explicitly applied include a discussion of possible applications.
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