High-Frequency Fractional Predictions and Spatial Distribution of the Magnetic Loss in a Grain-Oriented Magnetic Steel Lamination

Ducharne, Benjamin; Hamzehbahmani, Hamed; Gao, Yanhui; Fagan, Patrick; Sebald, Gael

Abstract

Grain-oriented silicon steel (GO FeSi) laminations are vital components for efficient energy conversion in electromagnetic devices. While traditionally optimized for power frequencies of 50/60 Hz, the pursuit of higher frequency operation (f ≥ 200 Hz) promises enhanced power density. This paper introduces a model for estimating GO FeSi laminations’ magnetic behavior under these elevated operational frequencies. The proposed model combines the Maxwell diffusion equation and a material law derived from a fractional differential equation, capturing the viscoelastic characteristics of the magnetization process. Remarkably, the model’s dynamical contribution, characterized by only two parameters, achieves a notable 4.8% Euclidean relative distance error across the frequency spectrum from 50 Hz to 1 kHz. The paper’s initial section offers an exhaustive description of the model, featuring comprehensive comparisons between simulated and measured data. Subsequently, a methodology is presented for the localized segregation of magnetic losses into three conventional categories: hysteresis, classical, and excess, delineated across various tested frequencies. Further leveraging the model’s predictive capabilities, the study extends to investigating the very high-frequency regime, elucidating the spatial distribution of loss contributions. The application of proportional–iterative learning control facilitates the model’s adaptation to standard characterization conditions, employing sinusoidal imposed flux density. The paper deliberates on the implications of GO FeSi behavior under extreme operational conditions, offering insights and reflections essential for understanding and optimizing magnetic core performance in high-frequency applications.

Citation

Ducharne, B., Hamzehbahmani, H., Gao, Y., Fagan, P., & Sebald, G. (2024). High-Frequency Fractional Predictions and Spatial Distribution of the Magnetic Loss in a Grain-Oriented Magnetic Steel Lamination. Fractal and Fractional, 8(3), Article 176. https://doi.org/10.3390/fractalfract8030176

• Journal Article Type: Article
• Acceptance Date: Mar 15, 2024
• Online Publication Date: Mar 19, 2024
• Publication Date: 2024-03
• Deposit Date: Mar 20, 2024
• Publicly Available Date: Mar 20, 2024
• Journal: Fractal and Fractional
• Publisher: MDPI
• Peer Reviewed: Peer Reviewed
• Volume: 8
• Issue: 3
• Article Number: 176
• DOI: https://doi.org/10.3390/fractalfract8030176
• Keywords: loss contributions, frequency dependency, magnetic loss, diffusion equation, fractional derivative, loss distribution
• Public URL: https://durham-repository.worktribe.com/output/2333264