2025 Source Code https://fordatis.fraunhofer.de/handle/fordatis/466
http://dx.doi.org/10.24406/fordatis/423

Comparative Analysis and Numerical Stability Assessment of Jiles-Atherton Model Variants (Source Code Release)

Thieltges, Sascha (Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren IZFP)

IZFP Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren
Files in This Item:
FileDescriptionSizeFormat 
AUSWERTUNG_epsilon_Einzelmodell.mMatlab function to cacluate the convergence of a single model4,98 kBMatlab R2019bDownload/Open
AUSWERTUNG_epsilon_Modellvergleich.mMatlab function to calculate the convergence between JA-models640 BMatlab R2019bDownload/Open
JAModel_Cheng18.mJA-model according to Cheng et al.2,47 kBMatlab R2019bDownload/Open
JAModel_Jiles86.mJA-model according to Jiles et al.2,38 kBMatlab R2019bDownload/Open
JAModel_Jiles92.mJA-model according to Jiles et al.2,46 kBMatlab R2019bDownload/Open
JAModel_Jiles94.mJA-model according to Jiles et al.2,39 kBMatlab R2019bDownload/Open
JAModel_Thieltges25.mJA-model according to Thieltges et al.2,31 kBMatlab R2019bDownload/Open
MAIN.mMAIN matlab function1,2 kBMatlab R2019bDownload/Open

Abstract

This repository provides the full source code and datasets used to compare multiple Jiles–Atherton (JA) hysteresis model variants, including Jiles86, Jiles92, Jiles94, Bergqvist96, Annakkage00, Cheng18, and Xue22. The material contains the numerical framework for computing complete B(H) cycles using a Runge–Kutta integration scheme, the stability assessment across 300 consecutive cycles, and the RMSE-based evaluation of convergence behavior under soft- and hard-magnetic parameter sets. The code enables full reproducibility of the model comparison, including parameter handling, cycle generation, and visualization tools.

Technical Information

This dataset contains the numerical implementation and results of a systematic comparison of multiple Jiles–Atherton (JA) hysteresis model variants. For a fixed JA parameter set, B(H) curves were computed for each model variant using a fourth-order Runge–Kutta integration scheme in MATLAB. The simulations were carried out for a range of excitation amplitudes of the magnetic field 𝐻. For each model, the numerical convergence behaviour was evaluated by calculating the root-mean-square error (RMSE) between consecutive B(H) cycles over 300 full cycles. In a subsequent step, cross-model deviations were quantified by computing the RMSE between the converged B(H) curves of the different JA model variants. The resulting dataset provides a reproducible basis for assessing numerical stability, model deviation, and sensitivity to excitation amplitude across established JA formulations.
Classification
005 Computerprogrammierung, Programme, Daten
500 Naturwissenschaften und Mathematik
510 Mathematik
511 Allgemeine mathematische Prinzipien
518 Numerische Analysis
530 Physik
538 Magnetismus
621 Angewandte Physik
Keywords
Jiles-Atherton
Ferromagnetic Hysteresis
RK4
Differential-Evolution
Optimization
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