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Modélisation de l’hystérésis et des courants de Foucault dans les circuits magnétiques par la méthode des éléments finis

Abstract : This Ph.D thesis focuses on the development of a hysteresis model to represent the properties of bulk or laminated magnetic circuits. Among other applications, this type of model can improve the accuracy of iron losses computation, using the finite element method.The hysteresis model that was developed is based on the Preisach-Mayergoyz model that is known in the literature for its excellent accuracy, but also suffers from poor numerical performances. We proposed a certain number of modifications to the original Preisach-Mayergoyz model, in order to get a hysteresis model that is around 100 times faster to compute, while maintaining the same level of precision, and for which the parameter identification process is simplified.The resulting accelerated Preisach-Mayergoyz model was incorporated as a magnetic constitutive equation inside the finite element software Altair Flux. For certain formulations of Maxwell's equations used in this software, it is necessary to specify a constitutive equation in the direct form, i.e. that gives the induction B as a function of the magnetic field H, while some other formulations require a constitutive equation in the inverse form. Since the accelerated Preisach-Mayergoyz model is naturally formulated in the direct form, it was necessary to develop an inversion technique that allows to compute H as a function of B.Furthermore, a certain number of methods were implemented in Altair Flux to improve the nonlinear convergence of transient problems with hysteresis. These methods enabled us to efficiently use the accelerated Preisach-Mayergoyz model in different academic and industrial test cases.
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Maxime Tousignant. Modélisation de l’hystérésis et des courants de Foucault dans les circuits magnétiques par la méthode des éléments finis. Energie électrique. Université Grenoble Alpes; Ecole polytechnique (Montréal, Canada), 2019. Français. ⟨NNT : 2019GREAT065⟩. ⟨tel-02905410⟩

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