An investigation on influence of magnet arc shaping upon back electromotive force waveforms for design of permanent-magnet brushless motors

Min-Fu Hsieh, Y. S. Hsu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents the technique to effectively obtain required back EMF waveforms, e.g., sinusoidal, for permanent-magnet (PM) brushless motors by magnet arc shaping rather than the common stator arc shaping method. Motor back EMF waveforms partly depend on the air-gap flux distribution produced by magnets. Therefore, in this paper, the relationship between the flux distribution of a magnet and its shape is derived using the Laplace's equation so that the magnet shape can be determined in accordance with the back EMF waveform required. Having determined the magnet shape, Finite Element Analysis is employed to verify the effectiveness of the technique developed by comparing the back EMF waveforms of the unmodified arc-shape magnet, the shaped breadloaf and the idea sinusoids. The simulation results show that, by properly shaping the magnets, a back EMF waveform with close approximation to the ideal sinusoid can be obtained, differing from the quasi trapezoidal waveform generated by the original arc shape magnet. Moreover, the results also show that the cogging torque is significantly improved by the magnet shaping. The major advantage of using the developed method is that the required back EMF waveform can be easily obtained at the preliminary design stage so that the entire design efficiency can be improved.

Original languageEnglish
Title of host publicationINTERMAG ASIA 2005
Subtitle of host publicationDigests of the IEEE International Magnetics Conference
Number of pages1
Publication statusPublished - 2005 Dec 12
EventINTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference - Nagoya, Japan
Duration: 2005 Apr 42005 Apr 8

Publication series

NameINTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference

Other

OtherINTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference
CountryJapan
CityNagoya
Period05-04-0405-04-08

Fingerprint

Electromotive force
Permanent magnets
Magnets
Electric potential
Fluxes
Laplace equation
Stators
Torque
Finite element method

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Hsieh, M-F., & Hsu, Y. S. (2005). An investigation on influence of magnet arc shaping upon back electromotive force waveforms for design of permanent-magnet brushless motors. In INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference [CV 03] (INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference).
Hsieh, Min-Fu ; Hsu, Y. S. / An investigation on influence of magnet arc shaping upon back electromotive force waveforms for design of permanent-magnet brushless motors. INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference. 2005. (INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference).
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abstract = "This paper presents the technique to effectively obtain required back EMF waveforms, e.g., sinusoidal, for permanent-magnet (PM) brushless motors by magnet arc shaping rather than the common stator arc shaping method. Motor back EMF waveforms partly depend on the air-gap flux distribution produced by magnets. Therefore, in this paper, the relationship between the flux distribution of a magnet and its shape is derived using the Laplace's equation so that the magnet shape can be determined in accordance with the back EMF waveform required. Having determined the magnet shape, Finite Element Analysis is employed to verify the effectiveness of the technique developed by comparing the back EMF waveforms of the unmodified arc-shape magnet, the shaped breadloaf and the idea sinusoids. The simulation results show that, by properly shaping the magnets, a back EMF waveform with close approximation to the ideal sinusoid can be obtained, differing from the quasi trapezoidal waveform generated by the original arc shape magnet. Moreover, the results also show that the cogging torque is significantly improved by the magnet shaping. The major advantage of using the developed method is that the required back EMF waveform can be easily obtained at the preliminary design stage so that the entire design efficiency can be improved.",
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Hsieh, M-F & Hsu, YS 2005, An investigation on influence of magnet arc shaping upon back electromotive force waveforms for design of permanent-magnet brushless motors. in INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference., CV 03, INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference, INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference, Nagoya, Japan, 05-04-04.

An investigation on influence of magnet arc shaping upon back electromotive force waveforms for design of permanent-magnet brushless motors. / Hsieh, Min-Fu; Hsu, Y. S.

INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference. 2005. CV 03 (INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - This paper presents the technique to effectively obtain required back EMF waveforms, e.g., sinusoidal, for permanent-magnet (PM) brushless motors by magnet arc shaping rather than the common stator arc shaping method. Motor back EMF waveforms partly depend on the air-gap flux distribution produced by magnets. Therefore, in this paper, the relationship between the flux distribution of a magnet and its shape is derived using the Laplace's equation so that the magnet shape can be determined in accordance with the back EMF waveform required. Having determined the magnet shape, Finite Element Analysis is employed to verify the effectiveness of the technique developed by comparing the back EMF waveforms of the unmodified arc-shape magnet, the shaped breadloaf and the idea sinusoids. The simulation results show that, by properly shaping the magnets, a back EMF waveform with close approximation to the ideal sinusoid can be obtained, differing from the quasi trapezoidal waveform generated by the original arc shape magnet. Moreover, the results also show that the cogging torque is significantly improved by the magnet shaping. The major advantage of using the developed method is that the required back EMF waveform can be easily obtained at the preliminary design stage so that the entire design efficiency can be improved.

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Hsieh M-F, Hsu YS. An investigation on influence of magnet arc shaping upon back electromotive force waveforms for design of permanent-magnet brushless motors. In INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference. 2005. CV 03. (INTERMAG ASIA 2005: Digests of the IEEE International Magnetics Conference).