Modeling of electromagnetic phenomena in soft magnetic materials under unidirectional time periodic flux excitations

“…When simulating electromagnetic systems such as transformers and electrical machines, it is useful to implement in the numerical model the magnetic material behaviour in a detailed way, especially if one of the goals is to determine the losses in the magnetic laminations subject to dynamic fields. A model for diffusion of fields in a lamination exists [1] and predicts the average induction in the lamination as a function of the magnetic field waveform at the edge, based on measured hysteresis loops in strips of the material. If the field waveform is considered in a sufficient number of points of e.g.…”

Section: Introductionmentioning

confidence: 99%

Improved Crank-Nicolson method for modelling diffusion of electromagnetic fields in hysteretic soft magnetic laminations

Hecke

2018

Journal of Interdisciplinary Mathematics

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This paper studies the use of time stepping methods to integrate the equations which model the magnetodynamic fields in ferromagnetic laminations. A new high-order time stepping method is compared to well-known time stepping methods (Euler, Crank Nicolson, ...) for a diffusion problem of electromagnetic fields in magnetic laminations with hysteresis. For validation purposes, firstly a theoretical problem with analytical solution is solved. Afterwards, more realistic problems are studied. As the presented method is A-stable, accurate numerical loops can be computed, even in the case of hysteresis effects.

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“…with the homogenization technique of [5]. There, the losses are computed using a 1-D diffusion model [6]. The FE model and the 1-D diffusion model are described in Section III.…”

Section: Introductionmentioning

confidence: 99%