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Modeling and analysis of a multi-segmented linear permanent-magnet synchronous machine using a parametric magnetic equivalent circuit

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Abstract

This paper presents an improved magnetic equivalent circuit (MEC) method for modeling linear permanent-magnet synchronous motors (LPMSMs) with adjustable accuracy. The performance of machine with different dimensions, poles and slot numbers can be studied by the proposed flexible MEC, where the core nonlinearity is fitted on the material B–H curve. End effect is modeled by considering two virtual zones with desired accuracy at both entrance and exit ends of the primary. A new structure based on magnets segmentation is also proposed to investigate its effect on the motor performance. Finally, the results of the proposed method are compared with 3D-FEM to show the effectiveness of the presented model. The results show improvement in processing time with good accuracy compared to previous classic methods. In general, introducing a new model based on an improved MEC approach for modeling LPMSMs considering slot effect, iron core saturation and segmented PMs with flexible accuracy by adjusting the number of flux tubes is the paper novelty which is studied in this work.

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References

  1. Gieras JF, Piech ZJ, Tomczuk B (2018) Linear synchronous motors: transportation and automation systems. CRC Press, Boca Raton

    Book  Google Scholar 

  2. Yamazaki K, Fukushima Y, Sato M (2008) Loss analysis of permanent magnet motors with concentrated windings-variation of magnet eddy current loss due to stator and rotor shapes. In: 2008 IEEE industry applications society annual meeting. IEEE, pp 1–8

  3. Pfister P-D, Perriard Y (2009) Very-high-speed slotless permanent-magnet motors: analytical modeling, optimization, design, and torque measurement methods. IEEE Trans Ind Electron 57(1):296–303

    Article  Google Scholar 

  4. Vaez-Zadeh S, Isfahani AH (2006) Enhanced modeling of linear permanent-magnet synchronous motors. IEEE Trans Magn 43(1):33–39

    Article  Google Scholar 

  5. Kang Gyu-Hong, Hong Jung-Pyo, Kim Gyu-Tak (2001) A novel design of an air-core type permanent magnet linear brushless motor by space harmonics field analysis. IEEE Trans Magn 37:3732–3736

    Article  Google Scholar 

  6. Chung M-J, Gweon D-G (2002) Modeling of the armature slotting effect in the magnetic field distribution of a linear permanent magnet motor. Electr Eng 84:101–108

    Article  Google Scholar 

  7. Zarko D, Ban D, Lipo TA (2006) Analytical calculation of magnetic field distribution in the slotted air gap of a surface permanent-magnet motor using complex relative air-gap permeance. IEEE Trans Magn 42:1828–1837

    Article  Google Scholar 

  8. Boldea I, Babescu M (1978) Multilayer approach to the analysis of single-sided linear induction motors. Proc Inst Electr Eng 125:01

    Article  Google Scholar 

  9. Azzouzi J, Barakat G, Dakyo B (2005) Analytical modeling of an axial flux permanent magnet synchronous generator for wind energy application. IEEE Int Conf Electric Mach Drives 2005:1255–1260

    Article  Google Scholar 

  10. Hosseini MS, Vaez-Zadeh S (2010) Modeling and analysis of linear synchronous motors in high-speed maglev vehicles. IEEE Trans Magn 46:2656–2664

    Article  Google Scholar 

  11. Min SG, Sarlioglu B (2017) 3-d performance analysis and multiobjective optimization of coreless-type pm linear synchronous motors. IEEE Trans Industr Electron 65(2):1855–1864

    Article  Google Scholar 

  12. Chi S, Yan J, Shan L, Wang P (2019) Detent force minimizing for moving-magnet-type linear synchronous motor. IEEE Trans Magn 55(6):1–5

    Article  Google Scholar 

  13. Kumar RS, Umadevi K, Anup C (2016) Performance analysis of permanent magnet linear synchronous motors using finite element method. In: 2016 international conference on electrical, electronics, and optimization techniques (ICEEOT). IEEE, pp 1–7

  14. Song J, Lee JH, Kim D, Kim Y, Jung S (2017) Analysis and modeling of concentrated winding variable flux memory motor using magnetic equivalent circuit method. IEEE Trans Magn 53:1–4

    Google Scholar 

  15. Ren Z, Fang X, Wang S, Qiu J, Zhu JG, Guo Y, Yang X, Ha J, Wang Z, Sun Y et al (2007) Design optimization of an interior-type permanent magnet BLDC motor using PSO and improved MEC. In: 2007 international conference on electrical machines and systems (ICEMS). IEEE, pp 1350–1353

  16. Sheikh-Ghalavand B, Vaez-Zadeh S, Isfahani AH (2009) An improved magnetic equivalent circuit model for iron-core linear permanent-magnet synchronous motors. IEEE Trans Magn 46(1):112–120

    Article  Google Scholar 

  17. Naderi P, Rostami M, Ramezannezhad A (2019) Phase-to-phase fault detection method for synchronous reluctance machine using MEC method. Electr Eng 101(2):575–586

    Article  Google Scholar 

  18. Dziechciarz A, Martis C (2017) Simplified model of synchronous reluctance machine with optimized flux barriers. Electr Eng 99(4):1207–1216

    Article  Google Scholar 

  19. Ghandehari R, Naderi P, Vandevelde L (2021) Performance analysis of a new type pm-resolver in healthy and eccentric cases by an improved parametric MEC method. IEEE Trans Instrum Meas 70:1–10

    Article  Google Scholar 

  20. Naderi P, Ghandehari R, Heidary M (2021) A comprehensive analysis on the healthy and faulty two types vr-resolvers with eccentricity and inter-turn faults. IEEE Trans Energy Convers 1–1

  21. Hendershot JR, Miller TJE (2010) Design of brushless permanent-magnet machines. Motor Design Books Venice, Florida

    Google Scholar 

  22. Chen Y-M, Fan S-Y, Lu W-S (2004) Performance analysis of linear permanent magnet motors for optimal design considerations, In: Nineteenth annual IEEE applied power electronics conference and exposition, 2004. APEC’04, vol 3. IEEE, pp 1584–1589

  23. Kano Y, Kosaka T, Matsui N (2005) Simple nonlinear magnetic analysis for permanent-magnet motors. IEEE Trans Ind Appl 41(5):1205–1214

    Article  Google Scholar 

  24. Hwang C-C, Cho Y (2001) Effects of leakage flux on magnetic fields of interior permanent magnet synchronous motors. IEEE Trans Magn 37(4):3021–3024

    Article  Google Scholar 

  25. Qu R, 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 

  26. Chen X, Zhu Z-Q, Howe D (2009) Modeling and analysis of a tubular oscillating permanent-magnet actuator. IEEE Trans Ind Appl 45(6):1961–1970

    Article  Google Scholar 

  27. Wakiwaka H (2019) Magnetic application in linear motor. In: Magnetic material for motor drive systems. Springer, pp 423–437

  28. Naderi P, Shiri A (2018) Modeling of ladder-secondary-linear induction machine using magnetic equivalent circuit. IEEE Trans Veh Technol 67(12):11411–11419

    Article  Google Scholar 

  29. Naderi P, Heydari M, Vahedi M (2020) Performance analysis of ladder secondary linear induction motor with two different secondary types using magnetic equivalent circuit. ISA Trans 103:355–365

    Article  Google Scholar 

  30. Wang Y, Ma J, Liu C, Lei G, Guo Y, Zhu J (2019) Reduction of magnet eddy current loss in PMSM by using partial magnet segment method. IEEE Trans Magn 55(7):1–5

    Google Scholar 

  31. Lu Q, Wu B, Yao Y, Shen Y, Jiang Q (2019) Analytical model of permanent magnet linear synchronous machines considering end effect and slotting effect. IEEE Trans Energy Convers 35(1):139–148

    Article  Google Scholar 

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Acknowledgements

This work was supported by Shahid Rajaee Teacher Training University under contract number 6189.

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Authors and Affiliations

  1. Power Engineering Group, Shahid Rajaee Teacher Training University, Tehran, Iran

    Malihe Heidary

  2. Electrical Engineering Department of Shahid Rajaee Teacher Training University, Tehran, Iran

    Peyman Naderi & Abbas Shiri

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  1. Malihe Heidary
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  2. Peyman Naderi
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  3. Abbas Shiri
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Correspondence to Peyman Naderi.

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Heidary, M., Naderi, P. & Shiri, A. Modeling and analysis of a multi-segmented linear permanent-magnet synchronous machine using a parametric magnetic equivalent circuit. Electr Eng 104, 705–715 (2022). https://doi.org/10.1007/s00202-021-01334-1

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  • DOI: https://doi.org/10.1007/s00202-021-01334-1

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