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Fast Computation of Multi-Parametric Electromagnetic Fields in Synchronous Machines by Using PGD-Based Fully Separated Representations

Article dans une revue avec comité de lecture
Author
SANCARLOS, Abel
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
95355 University of Zaragoza - Universidad de Zaragoza [Zaragoza]
564849 ESI Group [ESI Group]
GHNATIOS, Chady
533922 Notre Dame University-Louaize [Lebanon] [NDU]
DUVAL, Jean-Louis
564849 ESI Group [ESI Group]
ZERBIB, Nicolas
564849 ESI Group [ESI Group]
CUETO, Elias
95355 University of Zaragoza - Universidad de Zaragoza [Zaragoza]
CHINESTA, Francisco
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
564849 ESI Group [ESI Group]

URI
http://hdl.handle.net/10985/20417
DOI
10.3390/en14051454
Date
2021
Journal
Energies

Abstract

A novel Model Order Reduction (MOR) technique is developed to compute high-dimensional parametric solutions for electromagnetic fields in synchronous machines. Specifically, the intrusive version of the Proper Generalized Decomposition (PGD) is employed to simulate a Permanent-Magnet Synchronous Motor (PMSM). The result is a virtual chart allowing real-time evaluation of the magnetic vector potential as a function of the operation point of the motor, or even as a function of constructive parameters, such as the remanent flux in permanent magnets. Currently, these solutions are highly demanded by the industry, especially with the recent developments in the Electric Vehicle (EV). In this framework, standard discretization techniques require highly time-consuming simulations when analyzing, for instance, the noise and vibration in electric motors. The proposed approach is able to construct a virtual chart within a few minutes of off-line simulation, thanks to the use of a fully separated representation in which the solution is written from a series of functions of the space and parameters coordinates, with full space separation made possible by the use of an adapted geometrical mapping. Finally, excellent performances are reported when comparing the reduced-order model with the more standard and computationally costly Finite Element solutions.

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