This work focuses on the development of a highly accurate energy-based hysteresismodel for the modeling of magnetic hysteresis phenomena. The model relies on anexplicit representation of the magnetic pinning effect as a dry friction-like force actingon the magnetic polarization. Unlike Preisach and Jiles-Atherton models, this modelis vectorial from the beginning and derives from thermodynamic first principles.Three approaches are considered: the first one, called vector play model, relies on asimplification that allows an explicit, and thus fast, update rule, while the two others,called the variational and the differential approaches, avoid this simplification,but require a non-linear equation to be solved iteratively. The vector play model andthe variational approach were already used by other researchers, whereas the differentialapproach introduced in this thesis, is a new, more efficient, exact implementation,which combines the efficiency of the vector play model with the accuracy of the variationalapproach. The three hysteresis implementations lead to the same result forpurely unidirectional or rotational excitation cases, and give a rather good approximationin all situations in-between, at least in isotropic material conditions.These hysteresis modeling approaches are incorporated into a finite-element code asa local constitutive relation with memory effect. The inclusion is investigated in detailfor two complementary finite-element formulations, magnetic field h or flux densityb conforming, the latter requiring the inversion of the vector hysteresis model,naturally driven by h, for which the Newton-Raphson method is used. Then, at thefinite-element level, once again, the Newton-Raphson technique is adopted to solvethe nonlinear finite-element equations, leading to the emergence of discontinuous differentialreluctivity and permeability tensors, requiring a relaxation technique in theNewton-Raphson scheme. To the best of the author’s knowledge, the inclusion of anenergy-based hysteresis model has never been successfully achieved in a b-conformfinite-element formulation before. / Doctorat en Sciences de l'ingénieur et technologie / info:eu-repo/semantics/nonPublished
| Identifer | oai:union.ndltd.org:ulb.ac.be/oai:dipot.ulb.ac.be:2013/278850 |
| Date | 21 November 2018 |
| Creators | Jacques, Kevin |
| Contributors | Gyselinck, Johan, Geuzaine, Christophe, De Gréve, Zacharie, Henrotte, François, Napov, Artem, Kedous Lebouc, Afef, Rasilo, Pavo, VanderHeyden, Benoît |
| Publisher | Universite Libre de Bruxelles, Université de Liège, Faculté des Sciences Appliquées, Institut Montefiore, Université libre de Bruxelles, Ecole polytechnique de Bruxelles – Electricien, Bruxelles |
| Source Sets | Université libre de Bruxelles |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/doctoralThesis, info:ulb-repo/semantics/doctoralThesis, info:ulb-repo/semantics/openurl/vlink-dissertation |
| Format | 254 p., 3 full-text file(s): application/pdf | application/pdf | application/pdf |
| Rights | 3 full-text file(s): info:eu-repo/semantics/openAccess | info:eu-repo/semantics/closedAccess | info:eu-repo/semantics/openAccess |
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