Academic Journal of Engineering and Technology Science, 2023, 6(10); doi: 10.25236/AJETS.2023.061003.

## Analysis of Influencing Factors of Magnetic Characteristics of Permanent Magnet Bearings of Submersible Pumps for Wells

Author(s)

Xiaoguang Gao, Kaiyao Wei

Corresponding Author:
Xiaoguang Gao
Affiliation(s)

School of Mechanical and Equipment Engineering, Hebei University of Engineering, Handan, Hebei, 056038, China

### Abstract

In order to solve the problem of unbalanced force of traditional thrust bearings in the operation of well submersible pumps, a permanent magnet bearing device was designed. According to the magnetic features of two parallel rectangular section permanent magnets, a linear magnetic analysis model composed of rectangular section permanent magnet rings is proposed by using the imaginary displacement method and linear superposition principle. The influence of axial offset, axial length of a single ring and radial width of a magnetic ring on the magnetic characteristics of permanent magnet bearings was explored. The analysis results and simulation results show that the average deviation of the analytical computing value and the simulation result does not exceed 9.8%, which verifies that the analytical model is reasonable and accurate. And when the gap is fixed, the axial magnetic force first rises and then decreases with the growing of axial offset and the axial length of a single magnetic ring. It increases with the increase of the radial width of the magnetic ring. This research model provides technical support for the design computing of permanent magnet bearings and the optimization of structural parameters of submersible pumps for wells.

### Keywords

Permanent Magnet Bearing; Magnetic Analysis Model; Axial Magnetic Force

### Cite This Paper

Xiaoguang Gao, Kaiyao Wei. Analysis of Influencing Factors of Magnetic Characteristics of Permanent Magnet Bearings of Submersible Pumps for Wells. Academic Journal of Engineering and Technology Science (2023) Vol. 6, Issue 10: 22-28. https://doi.org/10.25236/AJETS.2023.061003.

### References

[1] Lin Wenhua, Mao Zhongyu, Li Xiangyang, et al. Analysis and Improvement of Axial Force Characteristics of Water Pump Turbine Pump Working Conditions [J], Transactions of the Chinese Society for Agricultural Machinery, 2020, 51(6): 133-137.

[2] Wang Shuanghua, Study on Dynamic Pressure Lubrication Characteristics of Water-lubricated Thrust Bearings and Optimization of their Heterogeneous Surfaces [D], WU Han: Wuhan University of Science and Technology, 2019.

[3] Wang Kai, Li Yu, Liu Houlin, et al. Numerical Study on Hydrodynamic Noise of Multistage Centrifugal Pump under Multiple Working Conditions [J]. Vibration and Shock, 2018, 37(9): 50-55.

[4] Wei Yingsan, Shen Yang, Jin Shuanbao, et al. Scattering Effect of Submarine Hull on Propeller non-cavitation Noise[J]. Journal of Sound and Vibration, 2016, 370:319-335.

[5] Wang Songlin, Tan Lei, Wang Yuchuan. Transient Cavitation Flow and Pressure Pulsation Characteristics of Centrifugal Pump [J]. Vibration and Shock, 2013, 32(22):168-173.

[6] Zhang L, Wu H C, Li P, et al. Design, Analysis, and Experiment of Multiring Permanent Magnet Bearings by Means of Equally Distributed Sequences based Monte Carlo method[J]. Mathematical Problems in Engineering, 2019, 2019: 4265698.

[7] Zhang Haibo, Qiu Yujiang, Jiang Shuyun. Analysis of the Equivalent Surface Current Model for the Permanent Magnet Bearing by Using the Integral Definition [J]. Journal of Mechanical Engineering, 2016, 52(7): 54-59.

[8] Marinescu M, Marinescu N. A New Improved Method for Computation of Radial Stiffness of Permanent Magnet Bearings [J]. IEEE Transactions on Magnetics, 1994, 30(5): 3491-3494.

[9] Fang J C, Le Y, Sun J J, et al. Analysis and Design of Passive Magnetic Bearing and Damping System for High-speed Compressor[J]. IEEE Transactions on Magnetics, 2012, 48(9): 2528-2537.

[10] Zhang Jian, Sun Yuzhuo, Zhang Hailong, et al. Research on Magnetic Force Characteristics of Thrust Permanent Magnetic Bearing Based on ANSYS [J]. Bearing, 2014(4): 5-9.

[11] Ohji T, Ichivamaa S. New Conveyor System Based on a Passive Magnetic Levitation Unit Having Repulsive-rye Magnetic Bearings. Journal of Magnetism and Magnetic Materials[J], 2004, 272-276

[12] Ohji T, Mukhopadhyay T, 1wahara M. Performance of Repulsive Type Magnetic Bearing Sysmm under Non-uniform Magnetization of Permanent Magnet. IEEE Transactions on Magnetics[J], 2000, 36(5), 3696~3698

[13] Brad Paden. Design Formulas for Permanent Magnet Beatings, ASME. Journal of Mechanical Design [J], 2003, 125:734~738

[14] Tian Lulin, Li Yan, Yang Guoqing, et al. Study of the Axial Magnetic Force of Radial Magnetization Bi-barrel-shaped Permanent Magnetic Bearings (PMB) [J]. Mechanical Science and Technology for Aerospace Engineering, 2007, 26(9): 1216-1219.

[15] Tian Lulin, Li Yan, Tian Qi, et al. Axial Magnetic Force Analytical Model for Radial Magnetization Multi-annular Nesting Permanent Magnetic Bearings [J]. Chinese Journal of Computational Mechanics, 2010(2): 379-384.

[16] Tian Lulin, Li Peng. Magnetic Analysis Model of Tapered Permanent Magnet Bearings [J]. Chinese Mechanical Engineering, 2014, 25(3): 327-332.