Enabling accurate simulations of the nonlinear magnetic hysteresis behavior in ferromagnetic materials

• Published in: Applied mathematical modelling Vol. 138; p. 115739
• Main Authors: Zheng, Jingyu, Hu, Xin, Tang, Guangze, Liu, Zhenhui, Li, She, Yan, Hanghang, Cui, Xiangyang
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.02.2025
• Subjects: Electromagnetic simulation; Ferromagnetic materials; Jiles - Atherton model; Optimal relaxation coefficient method; Stable node - based smoothed finite - element method algorithm; Ferromagnetic materials; Jiles - Atherton model; Optimal relaxation coefficient method; Stable node - based smoothed finite - element method algorithm; Electromagnetic simulation
• ISSN: 0307-904X
• DOI: 10.1016/j.apm.2024.115739

•The stable node - based smoothed FEM is applied to hysteresis issues.•The proposed method enhances the numerical accuracy of hysteresis behaviour.•The proposed method aids in optimizing the performance of electromagnetic devices.•The proposed method can handle complex electromagnetic engineering models. In this work, a stable node - based smoothed finite - element method algorithm is developed to address the lower accurate issues in the simulation of the magnetic hysteresis behavior in ferromagnetic materials, in which the inverse vector Jiles - Atherton model is intimately coupled. The improvement of the accuracy for hysteresis issues is achieved by linking the stable node - based smoothed finite - element method in the framework of the Newton - Raphson iteration and the Jiles - Atherton model. The optimal relaxation coefficient method is introduced to address the natural strong nonlinearity of the Jiles - Atherton model and to ensure the convergence of the model. The algorithm is validated against the experimental results, and several examples are presented for simulations of the ferromagnetic hysteresis issues to illustrate both the accuracy and expandability in the practical scenarios of ferromagnetic materials.