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

Abel Sancarlos, Chady Ghnatios, Jean-Louis Duval, Nicolas Zerbib, Elias Cueto and Francisco Chinesta
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Abel Sancarlos: PIMM Lab and ESI Group Chair, Arts et Metiers Institute of Technology, 155 Boulevard de Hopital, F-75013 Paris, France
Chady Ghnatios: Mechanical Engineering Department, Notre Dame University-Louaize (NDU), Zouk Mosbeh 72, Lebanon
Jean-Louis Duval: ESI Group, 3bis rue Saarinen, 94528 Rungis, France
Nicolas Zerbib: ESI Group, 3bis rue Saarinen, 94528 Rungis, France
Elias Cueto: Aragon Institute of Engineering Research, Universidad de Zaragoza, Maria de Luna, s.n., E-50018 Zaragoza, Spain
Francisco Chinesta: PIMM Lab and ESI Group Chair, Arts et Metiers Institute of Technology, 155 Boulevard de Hopital, F-75013 Paris, France

Energies, 2021, vol. 14, issue 5, 1-17

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.

Keywords: Proper Generalized Decomposition (PGD); Model Order Reduction (ROM); reduced-order model; electric machine; electric motor; Permanent-Magnet Synchronous Motor (PMSM); real-time simulation; virtual chart (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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