Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines

There are three principal sources of noise and vibration in electrical machines: electromagnetic sources, mechanical sources, and aerodynamic sources. Nowadays, one of the major advantages of permanent-magnet synchronous machines is their torque density. This density is achieved through a high magne...

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Main Authors: Iratxo Gómez, Gustavo García, Alex McCloskey, Gaizka Almandoz
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/22/10865
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author Iratxo Gómez
Gustavo García
Alex McCloskey
Gaizka Almandoz
author_facet Iratxo Gómez
Gustavo García
Alex McCloskey
Gaizka Almandoz
author_sort Iratxo Gómez
collection DOAJ
description There are three principal sources of noise and vibration in electrical machines: electromagnetic sources, mechanical sources, and aerodynamic sources. Nowadays, one of the major advantages of permanent-magnet synchronous machines is their torque density. This density is achieved through a high magnetic flux density in the air gap, which is achieved through hard magnets. Unfortunately, in these machines, electromagnetic forces have been identified as the main source of vibration and noise, and high magnetic flux densities make these vibrations and noises more significant. With the aim of better understanding the relationship between electromagnetic forces and design variables, this article, which is the continuation of previous work, firstly describes a study of the sources of magnetic forces in permanent-magnet synchronous machines. Subsequently, an analytical model for the computation of the radial forces originating from electromagnetic sources in permanent-magnet synchronous machines is stated. This model analyzes the forces on both the rotor surface and the base of the stator tooth. The analytical results were corroborated through simulations using the finite element method (FEM) and also by experimental tests performed over two prototypes. The results achieved by the analytical model show good agreement with both FEM results and experimental measurements.
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spelling doaj.art-ea3b42da23b942aca8053f3243c1a3552023-11-22T22:20:06ZengMDPI AGApplied Sciences2076-34172021-11-0111221086510.3390/app112210865Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous MachinesIratxo Gómez0Gustavo García1Alex McCloskey2Gaizka Almandoz3CS Centro Stirling, S. Coop., 20550 Aretxabaleta, SpainCS Centro Stirling, S. Coop., 20550 Aretxabaleta, SpainFaculty of Engineering, Mondragon Unibertsitatea, 20500 Arrasate, SpainFaculty of Engineering, Mondragon Unibertsitatea, 20500 Arrasate, SpainThere are three principal sources of noise and vibration in electrical machines: electromagnetic sources, mechanical sources, and aerodynamic sources. Nowadays, one of the major advantages of permanent-magnet synchronous machines is their torque density. This density is achieved through a high magnetic flux density in the air gap, which is achieved through hard magnets. Unfortunately, in these machines, electromagnetic forces have been identified as the main source of vibration and noise, and high magnetic flux densities make these vibrations and noises more significant. With the aim of better understanding the relationship between electromagnetic forces and design variables, this article, which is the continuation of previous work, firstly describes a study of the sources of magnetic forces in permanent-magnet synchronous machines. Subsequently, an analytical model for the computation of the radial forces originating from electromagnetic sources in permanent-magnet synchronous machines is stated. This model analyzes the forces on both the rotor surface and the base of the stator tooth. The analytical results were corroborated through simulations using the finite element method (FEM) and also by experimental tests performed over two prototypes. The results achieved by the analytical model show good agreement with both FEM results and experimental measurements.https://www.mdpi.com/2076-3417/11/22/10865FEMFourier seriesMaxwell stress tensornoise and vibrationpermanent-magnet synchronous machine
spellingShingle Iratxo Gómez
Gustavo García
Alex McCloskey
Gaizka Almandoz
Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines
Applied Sciences
FEM
Fourier series
Maxwell stress tensor
noise and vibration
permanent-magnet synchronous machine
title Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines
title_full Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines
title_fullStr Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines
title_full_unstemmed Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines
title_short Analytical Model to Calculate Radial Forces in Permanent-Magnet Synchronous Machines
title_sort analytical model to calculate radial forces in permanent magnet synchronous machines
topic FEM
Fourier series
Maxwell stress tensor
noise and vibration
permanent-magnet synchronous machine
url https://www.mdpi.com/2076-3417/11/22/10865
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AT gustavogarcia analyticalmodeltocalculateradialforcesinpermanentmagnetsynchronousmachines
AT alexmccloskey analyticalmodeltocalculateradialforcesinpermanentmagnetsynchronousmachines
AT gaizkaalmandoz analyticalmodeltocalculateradialforcesinpermanentmagnetsynchronousmachines