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Développement d'un modèle dynamique d'une capsule Hyperloop

(2020)

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Abstract
The Hyperloop project aspires to become the mean of transport of the future. By minimizing the friction losses, the Hyperloop system wants to offer a eco-friendly and economical alternative to the traditional long-distance travels today mainly provided by air transport. A Hyperloop system is composed of a capsule moving in a low pressure tube. This capsule has the particularity to levitate above the track, removing almost all the friction losses related to the use of a conventional wheel system. Several technologies ensure the levitation function. Nevertheless, one of the most promising is the electrodynamics suspension (EDS) system. Its working principle is based on the interactions between a variable magnetic field and the induced currents in an electrical conductor. This interaction will generate a lift force lifting the capsule above the guideway. A lot of studies took an interest in the electrodynamics forces provide by an EDS system. Other researches focused on the analysis of the dynamical behavior of magnetic levitation (MagLev) vehicles by modeling the electrodynamics forces as equivalent springs. However, it would appear that none study presents a dynamical analysis of an EDS system by taking into account both the electrodynamics phenomena and the vehicle related multibody dynamics. This Master's thesis is a first initiative to join these two physics counterparts and to study the dynamics of a Hyperloop capsule. First, two electrodynamics models were designed in order to compute the electrodynamics forces generated by the levitation system. The first model, based on the finite elements method (FEM model), allows to freeing from a large number of hypothesis as well as to take into account three kinematic parameters: the purely longitudinal speed of the capsule $v_x$, the size of the air gap between the track and the skis of the capsule $e$ and the pitch angle of the ski with respect to the track $\theta$. In order to overcome the problems related to the computational time needed for a finite element model, two substitution models were designed: the first, based on the interpolation of the data obtained thanks to the FEM model for different configurations of the ski, the second, developed on a Lumped model using an equivalent electrical circuit to represent the magnetic levitation system. It will be then demonstrate that only the substitution model by interpolation provide satisfactory results for the studied system. A second electrodynamics model was created, which is based on the Fourier series expansion of the electrodynamics quantities (FB model). This model has for main advantage to result in an analytical expression of the electrodynamics forces. The results obtained thanks to these two models are then compared to define their limitations. Finally, several ways to improve these two electrodynamics models are highlighted to overcome the existing limitations. Second, the multibody model of an existing Hyperloop capsule is developed. Our study aims to achieve the coupling between the multibody model and the previously studied electrodynamics models. The results will allow comparing the dynamical behavior of the Hyperloop capsule as a function of the model considers. This shows a significant difference between the FEM and FB models and the importance of considering the pitch angle of the skis.