Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM Motor

Effective methods for the design of high-performance electrical machines must use optimization techniques and precise and fast physical models. Convergence, precision and speed of execution are important issues, in addition to the ability to explore the entire domain of solutions. The finite element...

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Main Authors: Ramón Pérez, Alexandre Pelletier, Jean-Michel Grenier, Jérôme Cros, David Rancourt, Richard Freer
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/15/11/3969
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author Ramón Pérez
Alexandre Pelletier
Jean-Michel Grenier
Jérôme Cros
David Rancourt
Richard Freer
author_facet Ramón Pérez
Alexandre Pelletier
Jean-Michel Grenier
Jérôme Cros
David Rancourt
Richard Freer
author_sort Ramón Pérez
collection DOAJ
description Effective methods for the design of high-performance electrical machines must use optimization techniques and precise and fast physical models. Convergence, precision and speed of execution are important issues, in addition to the ability to explore the entire domain of solutions. The finite element method (FEM) presents a high accuracy in the results but with high computational costs. Analytical models, on the other hand, solve the problem quickly but compromise the accuracy of the results. This work shows a comparison between an optimization made with an analytical electromagnetic model and a direct optimization with finite element field calculation for the optimal design of a Halbach array permanent magnet synchronous motor (PMSM). In the case of the analytical model, it is necessary to use an iterative method of correcting the model to obtain a valid solution. This method is known as Space Mapping (SM) and the analytical model can be improved with a reduced number of iterations with the FEM. The results show a rapid convergence towards an optimal solution for the SM, with more than 78% reduction in computational cost compared to a Direct FEM optimization. Both solutions have only a difference of 3% on the power density, which indicates that FEM does not improve the results obtained by SM. This represents a great advantage that allows for the consideration of a large amount of designs to analyze the domain of solutions in more detail. This study also shows that SM is a powerful method to optimize the power density or torque density of electrical machines.
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spelling doaj.art-b045ef79d55c4704a8c362d48b89bfce2023-11-23T13:58:10ZengMDPI AGEnergies1996-10732022-05-011511396910.3390/en15113969Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM MotorRamón Pérez0Alexandre Pelletier1Jean-Michel Grenier2Jérôme Cros3David Rancourt4Richard Freer5LEEPCI, Department of Electrical and Computer Engineering, Laval University, 1065, Avenue de la Médecine, Quebec, QC G1V 0A6, CanadaLEEPCI, Department of Electrical and Computer Engineering, Laval University, 1065, Avenue de la Médecine, Quebec, QC G1V 0A6, CanadaLEEPCI, Department of Electrical and Computer Engineering, Laval University, 1065, Avenue de la Médecine, Quebec, QC G1V 0A6, CanadaLEEPCI, Department of Electrical and Computer Engineering, Laval University, 1065, Avenue de la Médecine, Quebec, QC G1V 0A6, CanadaCreatek Design Lab, Institut Interdisciplinaire d’Innovation Technologique (3IT), Université de Sherbrooke, 2500 Bld University, Sherbrooke, QC J1K 2R1, CanadaPratt & Whitney Canada, 1000 Boulevard Marie-Victorin, Longueuil, QC J4G 1A1, CanadaEffective methods for the design of high-performance electrical machines must use optimization techniques and precise and fast physical models. Convergence, precision and speed of execution are important issues, in addition to the ability to explore the entire domain of solutions. The finite element method (FEM) presents a high accuracy in the results but with high computational costs. Analytical models, on the other hand, solve the problem quickly but compromise the accuracy of the results. This work shows a comparison between an optimization made with an analytical electromagnetic model and a direct optimization with finite element field calculation for the optimal design of a Halbach array permanent magnet synchronous motor (PMSM). In the case of the analytical model, it is necessary to use an iterative method of correcting the model to obtain a valid solution. This method is known as Space Mapping (SM) and the analytical model can be improved with a reduced number of iterations with the FEM. The results show a rapid convergence towards an optimal solution for the SM, with more than 78% reduction in computational cost compared to a Direct FEM optimization. Both solutions have only a difference of 3% on the power density, which indicates that FEM does not improve the results obtained by SM. This represents a great advantage that allows for the consideration of a large amount of designs to analyze the domain of solutions in more detail. This study also shows that SM is a powerful method to optimize the power density or torque density of electrical machines.https://www.mdpi.com/1996-1073/15/11/3969PM motorHalbach arraydesign processspace mappingfinite elements method
spellingShingle Ramón Pérez
Alexandre Pelletier
Jean-Michel Grenier
Jérôme Cros
David Rancourt
Richard Freer
Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM Motor
Energies
PM motor
Halbach array
design process
space mapping
finite elements method
title Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM Motor
title_full Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM Motor
title_fullStr Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM Motor
title_full_unstemmed Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM Motor
title_short Comparison between Space Mapping and Direct FEA Optimizations for the Design of Halbach Array PM Motor
title_sort comparison between space mapping and direct fea optimizations for the design of halbach array pm motor
topic PM motor
Halbach array
design process
space mapping
finite elements method
url https://www.mdpi.com/1996-1073/15/11/3969
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