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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| Vydáno v: | IEEE transactions on magnetics Ročník 59; číslo 2; s. 1 |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
New York
IEEE
01.02.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 0018-9464, 1941-0069 |
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| Abstract | 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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| AbstractList | 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. 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 (RBFs) interpolation method. The proposed approach is applied to a variable inductance and 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. |
| Author | Boumesbah, A. E. Tomezyk, J. Henneron, T. |
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| SubjectTerms | 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 |
| Title | Metamodel of Parametric Geometric Magnetostatic Problem Based on PGD and RBF Approaches |
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