Développement d’un outil de génération automatique des réseaux de réluctances pour la modélisation de dispositifs électromécaniques

In the field of electrical machine modeling, the method that is experiencing great popularity as renowned for the quality of its results is the finite element method. However, computation time becomes important when the finite element models are associated with an optimization and predesign process as part of a complex technical specification sheet. The alternate modeling solution is the lumped parameter models approach. The latter is well suited for the individual physical domains involved in the operation of electrical machines, namely electromagnetic, mechanical and thermal. The latter is well suited for the individual physical domains involved in the operation of electrical machines, namely electromagnetic, mechanical and thermal. Thus, electric machine design routines have been used to determine the properties and performance of the latter under different operating conditions. However, the implementation of these modeling approaches requires significant development time for lack of dedicated tools such as those existing for the finite element method. In the electromagnetic context, the work of this thesis presents a contribution to the reluctance network modeling approach by developing tools allowing their automatic generation. This approach is integrated into a software tool allowing the automated processing of a geometry, providing a precise model in a shorter time than that required for the construction of a dedicated model. The tool, fully developed on MATLAB®, has been called MRNsoftware (for Mesh-based Reluctance Network Software). This dissertation contains four chapters. The first chapter is devoted to a detailed state of the art on reluctance network modeling methods. In the second chapter, we discuss the methodologies implemented based on a conformal mesh of the study space by bidirectional elementary blocks. The non-conformal mesh will be the subject of the third chapter. Magnetic scalar potential interpolation will prove useful to connect the different branches of the block elements at the edge of the non-conformal interfaces. Different mesh patterns of the same structure are tested and the accuracy as well as the evaluation time of the reluctance network models are compared with the finite element reference models. The fourth chapter presents, at first, the graphical interface of the tool. Subsequently, the developed modeling techniques are used to realize the models of the permanent magnet linear machine and the linear wound excitation linear machine. These modeling approaches are the result of the cooperation between SATIE and GREAH laboratories and are part of the general endeavor of developing multiphysics modeling tools for the optimal sizing of electromagnetic devices.