Analytical Method for Calculating the Magnetic Field of Spoke-Type Permanent Magnet Machines Accounting for Eccentric Magnetic Pole

This article proposes an analytical method to calculate the magnetic field, back electromotive force (BEMF), inductance, and torque of spoke-type permanent magnet machine (PMM) accounting for eccentric magnetic pole. The magnetic field in the slotted spoke-type PMM is predicted according to conforma...

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Published in:IEEE transactions on industrial electronics (1982) 2021-03, Vol.68 (3), p.2096-2107
Main Authors: Zhou, Yu, Xue, Zhiqiang
Format: Article
Language:English
Subjects:
Air gaps
Analytical models
Back electromotive force
Conformal mapping
Double-reaction theory
eccentric magnetic pole
Eccentricity
Electromotive forces
Finite element method
Inductance
magnetic field
Magnetic fields
Magnetic flux
Magnetic poles
Magnetic separation
Magnetism
Mathematical analysis
Mathematical models
permanent magnet machine (PMM)
Permanent magnets
spoke type
Torque
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container_title IEEE transactions on industrial electronics (1982)
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creator Zhou, Yu
Xue, Zhiqiang
description This article proposes an analytical method to calculate the magnetic field, back electromotive force (BEMF), inductance, and torque of spoke-type permanent magnet machine (PMM) accounting for eccentric magnetic pole. The magnetic field in the slotted spoke-type PMM is predicted according to conformal mapping, flux continuity theorem, double reaction theory, superposing principle, and complex relative air-gap permeance. Then, BEMF, inductance, and torque are obtained according to the results of magnetic field. A spoke-type PMM with eccentric magnetic pole is used to verify the analytical model. The harmonics of BEMF and torque ripple of spoke-type PMM with eccentric magnetic pole are very slight. Results of magnetic field, BEMF, inductance, and torque by the analytical model are verified by finite element. The validation to calculate BEMF and electromagnetic torque with analytical model is confirmed by experimental result. The analytical method proposed in this article can be applied to the spoke-type PMM with all kinds of magnetic-pole shape.
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The magnetic field in the slotted spoke-type PMM is predicted according to conformal mapping, flux continuity theorem, double reaction theory, superposing principle, and complex relative air-gap permeance. Then, BEMF, inductance, and torque are obtained according to the results of magnetic field. A spoke-type PMM with eccentric magnetic pole is used to verify the analytical model. The harmonics of BEMF and torque ripple of spoke-type PMM with eccentric magnetic pole are very slight. Results of magnetic field, BEMF, inductance, and torque by the analytical model are verified by finite element. The validation to calculate BEMF and electromagnetic torque with analytical model is confirmed by experimental result. The analytical method proposed in this article can be applied to the spoke-type PMM with all kinds of magnetic-pole shape.</description><identifier>ISSN: 0278-0046</identifier><identifier>EISSN: 1557-9948</identifier><identifier>DOI: 10.1109/TIE.2020.2973899</identifier><identifier>CODEN: ITIED6</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Air gaps ; Analytical models ; Back electromotive force ; Conformal mapping ; Double-reaction theory ; eccentric magnetic pole ; Eccentricity ; Electromotive forces ; Finite element method ; Inductance ; magnetic field ; Magnetic fields ; Magnetic flux ; Magnetic poles ; Magnetic separation ; Magnetism ; Mathematical analysis ; Mathematical models ; permanent magnet machine (PMM) ; Permanent magnets ; spoke type ; Torque</subject><ispartof>IEEE transactions on industrial electronics (1982), 2021-03, Vol.68 (3), p.2096-2107</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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The magnetic field in the slotted spoke-type PMM is predicted according to conformal mapping, flux continuity theorem, double reaction theory, superposing principle, and complex relative air-gap permeance. Then, BEMF, inductance, and torque are obtained according to the results of magnetic field. A spoke-type PMM with eccentric magnetic pole is used to verify the analytical model. The harmonics of BEMF and torque ripple of spoke-type PMM with eccentric magnetic pole are very slight. Results of magnetic field, BEMF, inductance, and torque by the analytical model are verified by finite element. The validation to calculate BEMF and electromagnetic torque with analytical model is confirmed by experimental result. The analytical method proposed in this article can be applied to the spoke-type PMM with all kinds of magnetic-pole shape.</description><subject>Air gaps</subject><subject>Analytical models</subject><subject>Back electromotive force</subject><subject>Conformal mapping</subject><subject>Double-reaction theory</subject><subject>eccentric magnetic pole</subject><subject>Eccentricity</subject><subject>Electromotive forces</subject><subject>Finite element method</subject><subject>Inductance</subject><subject>magnetic field</subject><subject>Magnetic fields</subject><subject>Magnetic flux</subject><subject>Magnetic poles</subject><subject>Magnetic separation</subject><subject>Magnetism</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>permanent magnet machine (PMM)</subject><subject>Permanent magnets</subject><subject>spoke type</subject><subject>Torque</subject><issn>0278-0046</issn><issn>1557-9948</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNo9kM1PwjAYhxujiYjeTbw08Tzsx7a2R0JQSSCSiOemdG9hONbZbQfO_uMWIZx-l-d9kvdB6JGSEaVEvaxm0xEjjIyYElwqdYUGNMtEolQqr9GAMCETQtL8Ft217Y4QmmY0G6DfcW2qQ1daU-EFdFtfYOcDnpjK9pXpynqDuy3ghdnUECn8WkJVYO_wZ-O_IVkdGsBLCHtTQ92dsTh2W9bQ4rG1vq__LUfr1NpIhai5-Ja-gnt040zVwsN5h-jrdbqavCfzj7fZZDxPLFO0SwwIllG7NjkzDIijUrhcUrl2ivPU8EI5LqEQSkDhWG4U0GydmsJQK21uCB-i55O3Cf6nh7bTO9-H-H-rWZpnKRe5lJEiJ8oG37YBnG5CuTfhoCnRx9Q6ptbH1PqcOp48nU5KALjgihBBuOR_uCV72g</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Zhou, Yu</creator><creator>Xue, Zhiqiang</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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The magnetic field in the slotted spoke-type PMM is predicted according to conformal mapping, flux continuity theorem, double reaction theory, superposing principle, and complex relative air-gap permeance. Then, BEMF, inductance, and torque are obtained according to the results of magnetic field. A spoke-type PMM with eccentric magnetic pole is used to verify the analytical model. The harmonics of BEMF and torque ripple of spoke-type PMM with eccentric magnetic pole are very slight. Results of magnetic field, BEMF, inductance, and torque by the analytical model are verified by finite element. The validation to calculate BEMF and electromagnetic torque with analytical model is confirmed by experimental result. 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source IEEE Electronic Library (IEL) Journals
subjects Air gaps
Analytical models
Back electromotive force
Conformal mapping
Double-reaction theory
eccentric magnetic pole
Eccentricity
Electromotive forces
Finite element method
Inductance
magnetic field
Magnetic fields
Magnetic flux
Magnetic poles
Magnetic separation
Magnetism
Mathematical analysis
Mathematical models
permanent magnet machine (PMM)
Permanent magnets
spoke type
Torque
title Analytical Method for Calculating the Magnetic Field of Spoke-Type Permanent Magnet Machines Accounting for Eccentric Magnetic Pole
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