Skip to main content
SpringerLink
Log in

Analysis of a surface PM machine with pole shaping and dummy slots

  • Original Paper
  • Published:
Electrical Engineering Aims and scope Submit manuscript

Abstract

A two-dimensional (2-D) analytical model is proposed for surface-mounted permanent magnet (SPM) machines to predict the flux density, Back-Electro Motive Force (Back-EMF), cogging torque and electromagnetive torque. In this work, virtual current (VC) analytical method is used based on the solution of the Poissons’s equation. The VC sheets are used for modeled the stator teeth effect. An analytical model is provided to predict the magnetic flux density (due to armature currents and PM) for slotted optimum SPM machines with the loaf-shaped PM and dummy slots. Finally, the validity of the proposed method is verified by finite element analysis (FEA) and experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Jing L, Luo Zh, Qu R, Kong W, Gao Y, Huang H, Shah MR (2018) Investigation of a surface PM machine with segmented-eccentric magnet poles. IEEE Trans Appl Superconductive 28(3):1–1

    Article  Google Scholar 

  2. Min SG, Sarlioglu B (2019) Fast and systematic design optimization of surface-mounted PM machines using advanced analytical models and subharmonic elimination methods. IEEE Trans Magn 55(1):8100216. https://doi.org/10.1109/TMAG.2018.2877403

    Article  Google Scholar 

  3. Ebadi F, Mardaneh M, Rahideh A, Bianchi N (2019) Analytical energy-based approaches for cogging torque calculation in surface-mounted PM motors. IEEE Trans Magn 55(5):8101410. https://doi.org/10.1109/TMAG.2019.2906107

    Article  Google Scholar 

  4. Urresty JC, Riba JR, Romeral L, Garcia A (2010) A simple 2-D finite-element geometry for analyzing surface-mounted synchronous machines with skewed rotor magnets. IEEE Trans Magn 46(11):3948–3954

    Article  Google Scholar 

  5. Zhao G, Hua W, Zhu X, Zhang G (2017) The influence of dummy slots on stator surface-mounted permanent magnet machines. IEEE Trans Magn 53(6):7207105. https://doi.org/10.1109/TMAG.2017.2658938

    Google Scholar 

  6. Chen Y, Zhu X, Quan L, Xiang Z, Du Y, Bu X (2018) A V-shaped PM vernier motor with enhanced flux-modulated effect and low torque ripple. IEEE Trans Magn 54(11):8203804. https://doi.org/10.1109/TMAG.2018.2828989

    Google Scholar 

  7. Yokoi Y, Higuchi T (2015) Stator design of alternate slot winding for reducing torque pulsation with magnet designs in surface-mounted permanent magnet motors. IEEE Trans Magn 51(6):8202911. https://doi.org/10.1109/TMAG.2015.2394771

    Article  Google Scholar 

  8. Liu T, Huang S, Gao J, Lu K (2013) Cogging torque reduction by slot-opening shift for permanent magnet machines. IEEE Trans Magn 49(7):4028–4031

    Article  Google Scholar 

  9. Zhao W, Shen H, Chai W, Wang X, Kwon B (2013) Optimal design and experimental test of a SPM motor with cost-effective magnet utilization to suppress torque pulsations. IEEE Trans Magn 54(11):8109005. https://doi.org/10.1109/TMAG.2018.2842714

    Google Scholar 

  10. Chai W, Kwon B (2019) A magnetic pole modulation method on surface permanent magnet machines for high performances with different magnetization. IEEE Access 7:79839–79849. https://doi.org/10.1109/ACCESS.2019.2923449

    Article  Google Scholar 

  11. VZ Faradonbeh, ST Boroujeni, N Takorabet (2020) Optimum arrangement of PMs in surface-mounted PM machines: cogging torque and flux density harmonics, Springer Berlin Heidelberg. Electrical Engineering, pp. 1–11

  12. Yang YP, Peng M-T (2019) A surface-mounted permanent-magnet motor with sinusoidal pulsewidth-modulation-shaped magnets. IEEE Trans Magn 55(1):1–7

    Article  MathSciNet  Google Scholar 

  13. Du ZS, Lipo TA (2019) High torque density and low torque ripple shaped-magnet machines using sinusoidal plus third harmonic shaped magnets. IEEE Trans Ind Appl 55(3):2601–2610. https://doi.org/10.1109/TIA.2019.2896014

    Article  Google Scholar 

  14. Sun HY, Wang K (2019) Effect of third harmonic flux density on cogging torque in surface-mounted permanent magnet machines. IEEE Trans on Industry Appl 66:8

    Google Scholar 

  15. Faradonbeh VZ, Rahideh A, Ghahfarokhi MM, Amiri E, Aliabad AD, Markadeh GA (2021) Analytical modeling of slotted, surface-mounted permanent magnet synchronous motors with different rotor frames and magnet shapes. IEEE Trans Magn 57(1):8100413. https://doi.org/10.1109/TMAG.2020.3032648

    Article  Google Scholar 

  16. Wu L, Zhu M, Wang D, Fang Y (2019) A subdomain model for open-circuit field prediction in dual-stator consequent-pole permanent magnet machines. IEEE Trans Magn 55(8):3949–3951

    Article  Google Scholar 

  17. Zhu M, Wu L, Fang Y, Lubin Th (2019) Subdomain model for predicting armature reaction field of dual-stator consequent-pole PM machines accounting for tooth-tips. CES Trans Electrical Mach Syst 3(2):143–150

    Article  Google Scholar 

  18. Wu L, Yin H, Wang D, Fang Y (2019) A nonlinear subdomain and magnetic circuit hybrid model for open-circuit field prediction in surface-mounted PM machines. IEEE Trans Energy Conversion 34(3):1485–1495

    Article  Google Scholar 

  19. Bao J, Gysen BLJ, Lomonova EA (2018) Hybrid analytical modeling of saturated linear and rotary electrical machines: integration of fourier modeling and magnetic equivalent circuits. IEEE Trans Magn 54(11):8109905. https://doi.org/10.1109/TMAG.2018.2837896

    Article  Google Scholar 

  20. Hanic A, Zarko D, Kuhinek D, Hanic Z (2018) On-load analysis of saturated surface permanent magnet machines using conformal mapping and magnetic equivalent circuits. IEEE Trans Energy Conversion 33(3):915–924

    Article  Google Scholar 

  21. Ko Y-Y, Song J-Y, Seo M-K, Han W, Kim Y-J, Jung S-Y (2018) Analytical method for overhang effect of surface-mounted permanent-magnet motor using conformal mapping. IEEE Trans Magn 54(11):8208005. https://doi.org/10.1109/TMAG.2018.2841017

    Article  Google Scholar 

  22. Ghahfarokhi MM, Aliabad AD, Boroujeni ST, Amiri E, Faradonbeh VZ (2020) Analytical modelling and optimisation of line start LSPM synchronous motors. IET Electr Power Appl 14(3):398–408

    Article  Google Scholar 

  23. Taghipour Boroujeni S, Zamani V (2015) A novel analytical model for no-load, slotted, surface-mounted PM machines: air gap flux density and cogging torque. IEEE Trans Magn 51(4):8104008. https://doi.org/10.1109/TMAG.2014.2347010

    Article  Google Scholar 

  24. Faradonbeh VZ, Rahideh A, Mardaneh M, Boroujeni ST (2021) Analytical modeling of flux-reversal permanent-magnet machines. IEEE Trans Energy Conv 36:1121–1130

    Article  Google Scholar 

  25. Pang Y, Zhu ZQ, Feng ZJ (2011) Cogging torque in cost-effective surface mounted permanent-magnet machines. IEEE Trans Magn 47(9):2269–2276

    Article  Google Scholar 

  26. Faradonbeh VZ, Rahideh A, Markadeh GA (2020) An analytical model for slotted stator brushless surface inset permanent magnet machines using virtual current theory. IET Elect Power Appl 14(4):2750–2761

    Article  Google Scholar 

  27. Zhu Q, Howe D (1993) Instantaneous magnetic field distribution in brushless permanent magnet dc motors Part II: armature-reaction field. IEEE Trans Magn 29(1):136–142

    Article  Google Scholar 

  28. Bianchi N, Bolognani S (2002) Design techniques for reducing the cogging torque in surface mounted PM motors. IEEE Trans Industry Appl 38(5):1259–1265

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Shahrekord University [grant number 97GRN1M583].

Author information

Authors and Affiliations

  1. Engineering Department, Shahrekord University, Shahrekord, Iran

    G. R. Arab Markadeh

  2. Department of Electrical and Electronics Engineering, Shiraz University of Technology, 13876-71557, Shiraz, Iran

    V. Z. Faradonbeh

Authors
  1. G. R. Arab Markadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Z. Faradonbeh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. R. Arab Markadeh.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Arab Markadeh, G.R., Faradonbeh, V.Z. Analysis of a surface PM machine with pole shaping and dummy slots. Electr Eng 104, 2407–2415 (2022). https://doi.org/10.1007/s00202-021-01477-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00202-021-01477-1

Keywords

Search

Navigation