Metamodel of Parametric Geometric Magnetostatic Problem Based on PGD and RBF Approaches

In order to reduce the computational time induced by solving a finite element (FE) model for a magnetostatic problem with varying geometric parameters, a parametric geometric metamodel is defined using the Proper Generalized Decomposition (PGD) approach. The mesh deformation associated with the geom...

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Bibliographic Details
Published in:IEEE transactions on magnetics Vol. 59; no. 2; p. 1
Main Authors: Boumesbah, A. E., Tomezyk, J., Henneron, T.
Format: Journal Article
Language:English
Published: New York IEEE 01.02.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Computing time
Finite element method
Inductance
Interpolation
Magnetism
Metamodels
Model Order Reduction
Permanent magnets
Proper Generalized Decomposition
Radial basis function
Radial Basis Functions
Synchronous machines
ISSN:0018-9464, 1941-0069
Online Access:Get full text
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Summary:In order to reduce the computational time induced by solving a finite element (FE) model for a magnetostatic problem with varying geometric parameters, a parametric geometric metamodel is defined using the Proper Generalized Decomposition (PGD) approach. The mesh deformation associated with the geometric variation is implemented using the Radial Basis Functions (RBF) interpolation method. The proposed approach is applied to a variable inductance, then to a permanent magnet synchronous machine (PMSM). The results show that the PGD metamodel can accurately approximate the FE solution for the case of parametric geometric problems.
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ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2022.3231464