A universal method based on fractional derivatives for modeling magnetic losses under alternating and rotational magnetization conditions

Benjamin Ducharne (1, 2) , S. Zurek (3) , Gaël Sebald (2)

1 LGEF - Laboratoire de Génie Electrique et Ferroélectricité
2 ELyTMaX
3 Megger instrument

The performance of electromagnetic devices like motors and transformers is dictated by their efficiency of magnetic energy conversion, and the adequate modeling of this efficiency is essential in device design processes. However, a universal model that yields satisfactory results for this process under both alternating and rotating magnetic fields has yet to be developed. The present work addresses this issue by extending a previously proposed vector dry-friction modeling method to include frequency dependence using fractional derivative operators. The resulting vector model relies on eight parameters that can be adjusted to fit a wide range of experimental data, and thereby provides accurate estimations of magnetic losses over broad frequency bandwidths under both alternating and rotating magnetic fields. The model provides excellent agreement with the commonly observed reduction in magnetic losses when approaching saturation under low frequency rotating excitations, and further includes overshadowing with eddy current loss as the frequency increases. The accuracy and universality of the model are demonstrated under both alternating and rotational magnetization conditions based on comparisons with experimental results.

Mots clés: Magnetic hysteresis; simulation tool; fractional derivative; alternating losses; rotating losses; magnetic losses

Domaines: Electromagnétisme

Benjamin Ducharne, S. Zurek, Gaël Sebald. A universal method based on fractional derivatives for modeling magnetic losses under alternating and rotational magnetization conditions. Journal of Magnetism and Magnetic Materials, 2022, 550, pp.169071. ⟨10.1016/j.jmmm.2022.169071⟩. ⟨hal-03836242⟩