Abstract
Vibration is a challenging issue during the design process of electric machines. In this article, an analytical model of an ironless axial flux permanent magnet machine (AFPM) is proposed for electromagnetic force calculation. And the vibration of the machine is analyzed combined with the electromagnetic force and modal shape. Firstly, the causes of the machine vibration are analyzed based on a 12-slot/10-pole AFPM machine configured with a middle ironless stator and double-sided rotor. Then, an analytical model with the end effect considered for air gap magnetic flux density is presented and compared to the finite element analysis (FEA). The electromagnetic force is calculated based on the air gap flux density. The final analytical calculation results of air gap flux density and electromagnetic force both match the FEA ones well. After that, a three-dimensional simulation model is built and modal shape analysis of the entire machine system is studied. Finally, the validity of the vibration spectrum simulation results is verified through experiments, proving the effectiveness of the presented AFPM machine vibration mechanism and the electromagnetic force analytical model.
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References
Diao C, Zhao W, Wang N, Wang X (2023) Analysis of a high-speed axial flux permanent magnet synchronous motor with cost-effective hybrid magnets. IEEE Trans Magn 59(5):8200704
Islam Z, Khan F, Ullah B, Yousuf M, Hussain S, Qasim M (2021) Electromagnetic performance comparison of axial flux machine with different PM shapes for electric vehicles. In: 2021 International conference on technology and policy in energy and electric power (ICT-PEP), Jakarta, Indonesia, pp 230–235
Nishanth F, Van Verdeghem J, Severson EL (2023) A review of axial flux permanent magnet machine technology. IEEE Trans Ind Appl 59(4):3920–3933
Geng W, Zhang Z (2018) Analysis and implementation of new ironless stator axial-flux permanent magnet machine with concentrated nonoverlapping windings. IEEE Trans Energy Convers 33(3):1274–1284
Wang X, Li X, Ge J, Zhang G, Xu W (2023) Improved coreless axial flux permanent-magnet machine with nonuniformly distributed winding. IEEE Trans Transp Electrific 9(2):2557–2567
Min SG (2022) Analytical design and optimization of axial flux permanent magnet machines with slotless structure. IEEE Trans Transport Electrific 8(2):1994–2004
Drancă M, Chirca M, Breban Ş (2019) Comparative design analysis of axial flux permanent magnet direct-drive wind generators. In: 2019 11th international symposium on advanced topics in electrical engineering (ATEE), Bucharest, Romania
Ojaghlu P, Vahedi A, Totoonchian F (2018) Magnetic equivalent circuit modelling of ring winding axial flux machine. IET Electr Power Appl 12(3):293–300
Shokri M, Rostami N, Behjat V, Pyrhönen J, Rostami M (2015) Comparison of performance characteristics of axial-flux permanent-magnet synchronous machine with different magnet shapes. IEEE Trans Magn 51(12):8115206
Jin P, Yuan Y, Xu Q, Fang S, Lin H, Ho SL (2015) Analysis of axial-flux Halbach permanent-magnet machine. IEEE Trans Magn 51(11):8207404
Huang R, Song Z, Dong Z, Liu C (2023) An improved magnetic equivalent circuit method for segmented-Halbach axial-flux permanent magnet machines. IEEE Trans Transp Electrific 9(2):3218–3227
Du Y, Huang Y, Guo B, Peng F, Dong J (2023) Semianalytical model of multiphase Halbach array axial flux permanent-magnet motor considering magnetic saturation. IEEE Trans Transp Electrific 9(2):2891–2901
Zhao W, Lipo TA, Kwon B-I (2014) Comparative study on novel dual stator radial flux and axial flux permanent magnet motors with ferrite magnets for traction application. IEEE Trans Magn 50(11):8104404
Lim D-K, Cho Y-S, Ro J-S, Jung S-Y, Jung H-K (2016) Optimal design of an axial flux permanent magnet synchronous motor for the electric bicycle. IEEE Trans Magn 52(3):8201204
Islam R, Husain I (2010) Analytical model for predicting noise and vibration in permanent-magnet synchronous motors. IEEE Trans Ind Appl 46(6):2346–2354
Huang Y, Ge B, Dong J, Lin H, Zhu J, Guo Y (2012) 3-D Analytical modeling of no-load magnetic field of ironless axial flux permanent magnet machine. IEEE Trans Magn 48(11):2929–2932
Ouldhamrane H, Charpentier J-F, Khoucha F, Zaoui A, Achour Y, Benbouzid M (2022) Development and experimental validation of a fast and accurate field calculation tool for axial flux permanent magnet machines. J Magn Magn Mater 552:1
Gonzalez DA, Tapia JA, Letelier Bettancourt A (2007) Design consideration to reduce cogging torque in axial flux permanent-magnet machines. IEEE Trans Magn 43(8):3435–3440
Shenbo Yu, Tang R (2006) Electromagnetic and mechanical characterizations of noise and vibration in permanent magnet synchronous machines. IEEE Trans Magn 42(4):1335–1338
Shin H-J, Choi J-Y, Park Y-S, Koo M-M, Jang S-M, Han H (2014) Electromagnetic vibration analysis and measurements of double-sided axial-flux permanent magnet generator with slotless stator. IEEE Trans Magn 50(11):8205504
Polat M, Yildiz A, Akinci R (2021) Performance analysis and reduction of torque pipple of axial flux permanent magnet synchronous motor manufactured for electric vehicles. IEEE Trans Magn 57(7):8106809
Lu Y, Li J, Qu R, Ye D, Lu H (2020) Electromagnetic force and vibration study on axial flux permanent magnet synchronous machines with dual three-phase windings. IEEE Trans Ind Electron 67(1):115–125
Deng W, Zuo S (2018) Axial force and vibroacoustic analysis of external-rotor axial-flux motors. IEEE Trans Ind Electron 65(3):2018–2030
Acknowledgements
This work was supported in part by Ministry of Industry and Information Technology, Special project for industrial foundation reconstruction and high-quality development of manufacturing industry under Grant TC220H071, in part by Shanghai Sailing Program under Grant 20YF1412600.
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Conceptualization was done by JL, WF; Methodology was done by ZJ, JL; Formal analysis and investigation was done by YX, ZJ; Writing—original draft preparation was done by ZQ, YX; Writing—review and editing was done by ZQ, ZJ, JL; Funding acquisition was done by YZ; Supervision was done by YZ, JL.
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Qiao, Z., Xie, Y., Jin, Z. et al. Analytical model of an ironless axial flux permanent magnet machine for electromagnetic force calculation and vibration analysis. Electr Eng (2024). https://doi.org/10.1007/s00202-024-02321-y
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DOI: https://doi.org/10.1007/s00202-024-02321-y