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Related papers: Magnetic Hysteresis Modeling with Neural Operators

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Hysteresis is a ubiquitous phenomenon in science and engineering; its modeling and identification are crucial for understanding and optimizing the behavior of various systems. We develop an ordinary differential equation-based recurrent…

Accurate modeling of magnetic hysteresis is essential for high-fidelity power electronics device simulations. The transient hysteresis phenomena such as the ringing effect and the minor loops are the bottleneck for the accurate hysteresis…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Ziqing Guo , Xiaobing Shen , Ruth V. Sabariego

We demonstrate the use of model order reduction and neural networks for estimating the hysteresis properties of nanocrystalline permanent magnets from microstructure. With a data-driven approach, we learn the demagnetization curve from…

The energy-based vector hysteresis model of Francois-Lavet et al. establishes an implicit relation between magnetic fields and fluxes via internal magnetic polarizations which are determined by convex but non-smooth minimization problems.…

Numerical Analysis · Mathematics 2025-07-22 Herbert Egger , Felix Engertsberger , Andreas Schafelner

Accurately capturing the behavior of grain-oriented (GO) ferromagnetic materials is crucial for modeling the electromagnetic devices. In this paper, neural operator models, including Fourier neural operator (FNO), U-net combined FNO (U-FNO)…

Systems and Control · Electrical Eng. & Systems 2025-12-24 Ziqing Guo , Binh H. Nguyen , Hamed Hamzehbahmani , Ruth V. Sabariego

We present a general framework for modeling power magnetic materials characteristics using deep neural networks. Magnetic materials represented by multidimensional characteristics (that mimic measurements) are used to train the neural…

Materials Science · Physics 2025-10-10 Paweł Leszczyński , Kamil Kutorasiński , Marcin Szewczyk , Jarosław Pawłowski

Materials that have a hysteretic response to an external field are essential in modern information storage and processing technologies. The magnetization curves of several natural and artificial materials have previously been measured and…

Applied Physics · Physics 2018-04-18 Andres Concha , David Aguayo , Paula Mellado

Future improvements in particle accelerator performance is predicated on increasingly accurate online modeling of accelerators. Hysteresis effects in magnetic, mechanical, and material components of accelerators are often neglected in…

Accelerator Physics · Physics 2022-06-01 R. Roussel , A. Edelen , D. Ratner , K. Dubey , J. P. Gonzalez-Aguilera , Y. K. Kim , N. Kuklev

The Stoner-Wohlfarth is the most used model of magnetic hysteresis, but its computation is time-consuming. We use machine learning to approximate piecewise this model by easy-to-compute analytic functions. Our parametrization is suitable…

Materials Science · Physics 2023-06-22 Nikolai A. Zarkevich , Cajetan Ikenna Nlebedim , R. William McCallum

A hysteresis model based on the assumption of fixed order magnetization reversals is proposed. The model uses one-dimensional diagram for representing states of a system despite of two-dimensional Preisach diagram. The distinctive feature…

Condensed Matter · Physics 2007-05-23 Sergey Langvagen

Hysteresis phenomena have been observed in different branches of physics and engineering sciences. Therefore, several models have been proposed for hysteresis simulation in different fields; however, almost neither of them can be utilized…

Neural and Evolutionary Computing · Computer Science 2020-01-07 Mojtaba Farrokh , Mehrdad Shafiei Dizaji , Farzad Shafiei Dizaji , Nazanin Moradinasab

Using programmable analog quantum annealing processors, we implement a sampling-based magnetic hysteresis protocol to probe the counterintuitive notion of magnetic memory of antiferromagnets. A key component of this protocol responsible for…

Quantum Physics · Physics 2025-11-25 Elijah Pelofske , Pratik Sathe , Cristiano Nisoli , Frank Barrows

This article presents an approach for modelling hysteresis in piezoelectric materials, that leverages recent advancements in machine learning, particularly in sparse-regression techniques. While sparse regression has previously been used to…

Machine Learning · Computer Science 2023-05-23 Abhishek Chandra , Bram Daniels , Mitrofan Curti , Koen Tiels , Elena A. Lomonova , Daniel M. Tartakovsky

Neural operators have emerged as powerful tools for learning nonlinear mappings between function spaces, enabling real-time prediction of complex dynamics in diverse scientific and engineering applications. With their growing adoption in…

Computational Engineering, Finance, and Science · Computer Science 2025-10-14 Weiheng Zhong , Qibang Liu , Diab Abueidda , Seid Koric , Hadi Meidani

The behavior of materials is influenced by a wide range of phenomena occurring across various time and length scales. To better understand the impact of microstructure on macroscopic response, multiscale modeling strategies are essential.…

Incremental models for magnetic vector hysteresis have been developed in previous works in accordance with basic principles of thermodynamics. In this paper, we present an equivalent representation of the associated hysteresis operator in…

Numerical Analysis · Mathematics 2024-10-16 Herbert Egger , Felix Engertsberger , Lukas Domenig , Klaus Roppert , Manfred Kaltenbacher

Hysteresis is more than just an interesting oddity, which occurs in materials with a first-order transition. It is a real obstacle on the path from existing lab-scale prototypes of magnetic refrigerators towards commercialization of this…

Constitutive modeling based on continuum mechanics theory has been a classical approach for modeling the mechanical responses of materials. However, when constitutive laws are unknown or when defects and/or high degrees of heterogeneity are…

Machine Learning · Computer Science 2022-07-27 Huaiqian You , Quinn Zhang , Colton J. Ross , Chung-Hao Lee , Yue Yu

We develop a phenomenological model to study magnetic hysteresis in two samples designed as possible perpendicular recording media. A stochastic cellular automata model captures cooperative behavior in the nucleation of magnetic domains. We…

Beautiful theories of magnetic hysteresis based on random microscopic disorder have been developed over the past ten years. Our goal was to directly compare these theories with precise experiments. We first developed and then applied…

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