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Theses
Optimization and control of high fields magnets
Optimization and control of high fields magnets
Abstract : We present in this thesis our work on the control and optimization of high field magnets. The physics involved in the operation of the magnet are presented, and their discretization is detailed. It consists of a non-linear thermoelectric problem, a magnetostatic problem and a linear elasticity problem. The Hybrid Discontinuous Galerkin (HDG) method is used in order to better approximate the fields of interests, such as the current density, the magnetic field or the stress. We developed and implemented the Integral Boundary Condition (IBC) to be able to impose the current intensity directly instead of using the difference of potential. To solve our problem in real time, we used the Reduce Basis method (RB), combined with the Empirical Interpolation Method (EIM), its discrete version, the Simultaneous EIM and RB method and the Empirical Quadrature Method (EQM). Finally, we applied our methods to two applications of interest for the LNCMI, the identification of cooling parameters based on experimental data, and the optimization of the cuttings of the magnets to improve its homogeneity.
https://tel.archives-ouvertes.fr/tel-03025312
Contributor : Romain Hild <>
Submitted on : Thursday, November 26, 2020 - 11:27:59 AM
Last modification on : Saturday, November 28, 2020 - 3:28:45 AM
Contributor : Romain Hild <>
Submitted on : Thursday, November 26, 2020 - 11:27:59 AM
Last modification on : Saturday, November 28, 2020 - 3:28:45 AM
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thesis.pdf
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