Etude des non linéarités dans les dispositifs électriques par la méthode de Galerkin sans maillag. Doctorat thesis(2016), Université de Batna 2.
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Date
2016-05-31
Authors
CHELGHOUM Leila
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Abstract
The Modeling of the nonlinear behavior of ferromagnetic materials by the Preisach model, whose implementation is closely linked to the identification of its distribution function. In the literature, various analytical and numerical methods of identification are available. A new numerical method was developed and named ‘MÉTHODE DE LA PREMIÈRE AIMANTATION (FIRST MAGNETIZATION CURVE METHOD) requiring the use of experimental points, directly extracted from the first magnetization curve. The Meshless methods or Meshfree methods, whose success is growing, also the approximations used by these methods are presented. Indeed, while the finite element shape functions being defined on subdomains, meshless methods generate their shape functions based on a cloud of point. An application of Element Free Galerkin method for solving the nonlinear magnetostatic equation in the presence of hysteretic behavior of ferromagnetic materials. To do this, the Preisach model using the MÉTHODE DE LA PREMIÈRE AIMANTATION (FIRST MAGNETIZATION CURVE METHOD) developed during this thesis is then applied, the non-linearity was treated by using the fixed point method.