2018
DOI: 10.1088/1361-6668/aac55d
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Superconducting magnetic bearings simulation using an H-formulation finite element model

Abstract: The modeling of superconducting magnetic bearing (SMB) is of great significance for predicting and optimizing its levitation performance before construction. Although lots of efforts have been made in this area, it still remains some space for improvements. Thus the goal of this work is to report a flexible, fast and trustworthy H-formulation finite element model. First the methodology for modeling and calibrating both bulk-type and stack-type SMB is summarized. Then its effectiveness for simulating SMBs in 2-… Show more

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Cited by 108 publications
(73 citation statements)
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References 85 publications
(155 reference statements)
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“…To solve the problem of representing a moving magnet in the H -formulation formalism [49,50], we represent the field of the magnet as a sheet current J m along the boundary ∂ R . To enforce this condition, we add a weak formulation condition to the finite-element problem,…”
Section: Model Constructionmentioning
confidence: 99%
“…To solve the problem of representing a moving magnet in the H -formulation formalism [49,50], we represent the field of the magnet as a sheet current J m along the boundary ∂ R . To enforce this condition, we add a weak formulation condition to the finite-element problem,…”
Section: Model Constructionmentioning
confidence: 99%
“…Results were compared with simulations from Hformulation finite element models implemented in COM-SOL Multiphysics [11]. We employed the method detailed by Quéval et al [12] wherein the field from the moving permanent magnet is applied as a time-dependent Dirichlet boundary condition on a thin air region enclosing the HTS. For a given remanent flux density B r , the PM field H ext (x, y, z) only needs to be calculated once (using an A-formulation finite element model) and stored in a lookup table.…”
Section: Finite Element Simulationmentioning
confidence: 99%
“…A free triangular mesh was applied to the air domain. Lateral displacements along x required a 3D model and the relative and absolute tolerances were relaxed to 10 −3 and 10 −2 respectively, as in [12]. The 3D mesh was created by sweeping the 2D-axisymmetric mesh around the z-axis.…”
Section: Finite Element Simulationmentioning
confidence: 99%
“…In the past decade, due to developments in software and computing power, the modelling of the electrodynamic behavior of type II superconductors has become less restrictive, and good agreements between experiments and simulations have been achieved when investigating superconductor magnetization [ 20 , 21 ] and magnetic levitation [ 22 , 23 , 24 ]. Various eddy current problem formulations have been proposed, suited to handle different superconductor application scenarios or to improve computation times [ 25 , 26 , 27 , 28 , 29 ].…”
Section: Introductionmentioning
confidence: 99%