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Research Papers

Identification and Suppression of Unbalanced Magnetic Force and Cogging Torque in Permanent Magnet Motors With Magnetic Field Distortion

[+] Author and Article Information
Shiyu Wang

School of Mechanical Engineering,
Tianjin University,
Tianjin 300072, China
Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control,
Tianjin 300072, China
e-mail: wangshiyu@tju.edu.cn

Bang Xie, Chenxin Wang

School of Mechanical Engineering,
Tianjin University,
Tianjin 300072, China
Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control,
Tianjin 300072, China

Jie Xiu

School of Electrical Engineering and Automation,
Tianjin University,
Tianjin 300072, China

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 14, 2013; final manuscript received October 21, 2014; published online January 27, 2015. Assoc. Editor: Mary Kasarda.

J. Vib. Acoust 137(3), 031004 (Jun 01, 2015) (14 pages) Paper No: VIB-13-1163; doi: 10.1115/1.4029044 History: Received May 14, 2013; Revised October 21, 2014; Online January 27, 2015

Permanent magnet (PM) induced vibration is one of the major concerns for PM motors. This work aims at the identification and suppression of the vibration source from magnetic field distortions caused by magnet/slot combination, uneven-magnetization, and magnet shifting. Modulation method is employed to predict the relationships between parameters and unbalanced magnetic force (UMF) and cogging torque (CT). Motivated by the magnetic field periodicity and structure especially air-gap symmetry, a new concept of equivalent magnet (EM) wherein one or more real magnets are defined as an imaginary one is introduced to help predict the unexpected force harmonics normally lower than magnet number, and rotation-frequency is used to present unified interpretation on magnetic force regarding the three distortions. The results imply that the relationships are determined by magnet/EM/slot combination including their greatest common divisor (GCD). Compared with CT, the UMF is more sensitive to the uneven-magnetization and magnet shifting. Like ideal motors, if the GCD is greater than unity, the UMF is eliminated, but the CT is not simply via altering the combination. The results also show that magnetic forces for the same EM/slot combinations share similar behaviors regardless of specific magnetic field details. The results can be utilized to suppress undesirable force, or inspect magnetization and installation status by monitoring force frequency and its amplitude, or gain vibration suppression by magnet's selective assembly. The modulation method, EM concept, and main findings are successfully verified by the finite element method (FEM) and comparison with the existing results in the literature. Main contribution of this work is the unified explanation on the relationships between the three distortions and unique force behaviors, especially the prediction on those unexpected harmonic forces.

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References

Figures

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Fig. 1

Magnetic field modulation within air-gap

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Fig. 2

EM configuration, (a)–(c) are one, two, and four EMs for uneven-magnetization, and (d)–(f) with the same EMs for magnet shifting

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Fig. 4

Magnetic field distributions of (a) 1-EM/1-slot and (b) 1-EM/12-slot motors

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Fig. 5

Magnetic flux distributions in radial (a) and tangential (b) directions

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Fig. 6

Fluctuating UMFs and Fourier analysis, where H and V represent horizontal and vertical directions (rest is the same)

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Fig. 7

CTs and Fourier analysis

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Fig. 8

Magnetic field distributions of (a) 1-EM/12-slot, (b) 2-EM/1-slot, and (c) 2-EM/12-slot motors

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Fig. 9

Magnetic fluxes in radial (a) and tangential (b) directions

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Fig. 10

Fluctuating UMFs in two orthogonal directions

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Fig. 11

CTs and Fourier analysis

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Fig. 12

Magnetic field distributions of (a) 1-EM/12-slot, (b) 4-EM/1-slot, and (c) 4-EM/12-slot motors

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Fig. 13

Magnetic fluxes in radial (a) and tangential (b) directions

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Fig. 14

Fluctuating UMFs in two orthogonal directions

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Fig. 15

CTs and Fourier analysis

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Fig. 16

Magnetic field distributions of (a) 1-EM/1-slot and (b) 1-EM/12-slot motors

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Fig. 17

Magnetic flux distributions in radial (a) and tangential (b) directions

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Fig. 18

Fluctuating UMFs and Fourier analysis

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Fig. 19

CTs and Fourier analysis

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Fig. 20

Magnetic field distributions of (a) 1-EM/12-slot, (b) 2-EM/1-slot, and (c) 2-EM/12-slot motors

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Fig. 21

Magnetic fluxes in radial (a) and tangential (b) directions

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Fig. 22

Fluctuating UMFs in two orthogonal directions

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Fig. 23

CTs and Fourier analysis

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Fig. 24

Magnetic field distributions of (a) 1-EM/12-slot, (b) 4-EM/1-slot, and (c) 4-EM/12-slot motors

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Fig. 25

Magnetic fluxes in radial (a) and tangential (b) directions

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Fig. 26

Fluctuating UMFs in two orthogonal directions

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Fig. 27

CTs and Fourier analysis

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