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An Improved Subdomain Model for Magnetic Field Calculation of SPMSM Considering No-load Leakage Flux

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Abstract

Due to big leakage flux, the performance of permanent magnet (PM) motor will be much reduced. Especially for surface-mounted permanent magnet synchronous motor (SPMSM) with similar number of poles and slots, because the zigzag leakage flux is big and varies with the relative positions between stator and rotor, selecting no-load leakage flux coefficient with experience may cause a big calculation error to electromagnetic parameters by equivalent magnetic circuit model. Finite-element method (FEM) can directly calculate the coefficient, but entire process is time-consuming. Focusing on this problem, an analytical model of no-load leakage flux coefficient is proposed including air-gap leakage flux model and zigzag leakage flux model. Then, an improved subdomain model for magnetic field calculation of SPMSM is established, and the air-gap magnetic flux density, inducing flux linkage and line no-load back electromotive force (EMF) are calculated considering no-load leakage flux. To verify the improved model, an external rotor type SPMSM with 20-poles and 24-slots for bridge crane is designed and manufactured. Finally, the validity of improved model is verified by experimental test.

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References

  1. Wang K, Gu ZY, Zhu ZQ, Wu ZZ (Feb. 2017) Optimum injected harmonics into magnet shape in multiphase surface-mounted PM machine for maximum output torque. IEEE Trans Magn 64(6):4434–4443

    Google Scholar 

  2. Nair SS, Wang JB, Chin R, Chen L, Sun TF (Jun. 2017) Analytical prediction of 3-D magnet eddy current losses in surface mounted PM machines accounting slotting effect. IEEE Trans Energy Convers 32(12):414–423

    Article  Google Scholar 

  3. Liu Y, Zhu ZQ, Gan C et al (Mar. 2019) Comparison of optimal slot/pole number combinations in fractional slot permanent magnet synchronous machines having similar slot and pole numbers. IET J Eng 2019(17):4585–4589

    Google Scholar 

  4. Zhu ZC, Huang YK, Dong JN et al (Apr. 2019) Investigation study of the influence of pole numbers on torque density and flux weakening ability of fractional slot concentrated winding wheel-hub machines. IEEE Trans Access 7(17):1–6

    Google Scholar 

  5. Toudji M, Parent G, Duchesne S et al (Dec. 2017) Determination of winding lumped parameter equivalent circuit by means of finite element method. IEEE Trans Magn 53(6):1–4

    Article  Google Scholar 

  6. Chen Q, Liu GH, Zhao WX, Shao MM (Sep. 2013) Nonlinear adaptive lumped parameter magnetic circuit analysis for spoke-type fault-tolerant permanent-magnet motors. IEEE Trans Magn 49(9):5150–5157

    Article  Google Scholar 

  7. Wu LJ, Zhu ZQ, Staton D (2012) Comparison of analytical models of cogging torque in surface mounted PM machines. IEEE Trans Ind Electron 59(6):2414–2425

    Article  Google Scholar 

  8. Golovanov D, Gerada C (2019) An analytical subdomain model for dual-rotor permanent magnet motor with halbach array. IEEE Trans Magn 55(12):1–4

    Article  Google Scholar 

  9. Wu LJ, Zhu ZQ, Staton DA (2012) Comparison of analytical models of cogging torque in surface-mounted PM machines. IEEE Trans Industr Electron 59(6):2414–2425

    Article  Google Scholar 

  10. Liang PX, Chai F, Li Y, Pei YL (2017) Analytical prediction of magnetic field distribution in spoke-type permanent-magnet synchronous machines accounting for bridge saturation and magnet shape. IEEE Trans Industr Electron 64(5):3479–3489

    Article  Google Scholar 

  11. Boughrara K, Lubin T, Ibtiouen R (2013) General subdomain model for predicting magnetic field in internal and external rotor multiphase flux-switching ma-chines topologies. IEEE Trans Magn 498(10):5310–5325

    Article  Google Scholar 

  12. Fei W, Luk PCK (2014) A generic approach to reduction of magnet motive force harmonics in permanent-magnet machines with concentrated multiple three-phase windings. IEEE Trans Ind Appl 50(11):1–4

    Google Scholar 

  13. Liang PX, Chai F, Yu YJ et al (Feb. 2019) Analytical model of a spoke-type permanent magnet synchronous in-wheel motor with trapezoid magnet accounting for tooth saturation. IEEE Trans Industr Electron 66(2):1162–1171

    Article  Google Scholar 

  14. Wu LJ, Zhu ZQ, Staton D et al (2011) Subdomain model for predicting armature reaction field of surface-mounted permanent-magnet machines accounting for tooth-tips. IEEE Trans Magn 47(4):812–822

    Article  Google Scholar 

  15. Dubas F, Espanet C (2009) Analytical solution of the magnetic field in permanent-magnet motors taking into account slotting effect: No-load vector potential and flux density calculation. IEEE Trans Magn 45(5):2097–2109

    Article  Google Scholar 

  16. Lee JK, Jung DH, Lee KD et al (2019) A study on analysis of synchronous reluctance motor considering axial flux leakage through end plate. IEEE Trans Magn 55(6):1–4

    Google Scholar 

  17. Ye X, Zheng S, Zhang Y, et al (2019) Modeling and optimization of IRTMB for high-speed motor considering magnetic flux leakage effect. In: 2019 22nd International Conference on Electrical Machines and Systems (ICEMS).

  18. Zheng M, Zhu ZQ, Cai S et al (2019) Influence of stator and rotor pole number combinations on the electromagnetic performance of stator slot-opening PM hybrid-excited machine. IEEE Trans Magn 55(5):1–10

    Article  Google Scholar 

  19. Qu RH, Lipo TA (2004) Analysis and modeling of air-gap and zigzag leakage fluxes in a surface-mounted permanent-magnet machine. IEEE Trans Ind Appl 40(1):121–127

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Economic and Technological Development Zone, Shenyang University of Technology, National Engineering Research Center for REPM Electrical Machines, No. 111, Shenliao West Road, Shenyang, 110870, Liaoning, China

    Zhanyang Yu, Yan Li, Yongteng Jing, Jianmin Du & Jin Wang

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  1. Zhanyang Yu
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  2. Yan Li
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  3. Yongteng Jing
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  4. Jianmin Du
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  5. Jin Wang
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Correspondence to Zhanyang Yu.

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Yu, Z., Li, Y., Jing, Y. et al. An Improved Subdomain Model for Magnetic Field Calculation of SPMSM Considering No-load Leakage Flux. J. Electr. Eng. Technol. 15, 2651–2660 (2020). https://doi.org/10.1007/s42835-020-00541-3

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  • DOI: https://doi.org/10.1007/s42835-020-00541-3

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