Skip to main content
Log in

Improvement calculation method of static magnetic field based on equivalent magnetic circuit method

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

Abstract

With the development of magnetic materials, application of magnetic machinery has attracted extensive attention. In design and optimization of the magnetic machinery, calculation of magnetic field is particularly important. The equivalent magnetic circuit method (EMCM) has merits of simple modeling, small amount of calculation and extensive applicability; thus it is widely used in calculation of magnetic field of the magnetic machinery. However, computational accuracy of the existing EMCM for calculating magnetic reluctance at the parallel node of the magnetic circuit (MC) needs to be improved. Based on the EMCM, a calculation method of linearization decomposition of MC parallel nodes is proposed in this paper. According to the virtual distribution of magnetic induction lines, the parallel MC is decomposed into independent series serial magnetic circuits (MCs) by using an equivalent magnetic charge method. This calculation method consists of the following specific steps: simplification of magnetic poles (MPs) based on the equivalent magnetic charge method, planning MCs based on EMCM, distributing MCs linearly based on Coulomb's Law of magnetic field, calculating the magnetic reluctance of MC to obtain the intensity of static magnetic field. For a typical structural case given in this paper, the relative error between the theoretical calculation value and the computer simulation value is less than 3%.

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

Access this article

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

Instant access to the full article PDF.

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
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

References

  1. Kowol P (2018) Equivalent circuit vs. finite element method approach in designing and modelling of magnetorheological clutch. In: Proc. Int. Conf. Cham . Mech Sys. Mater. (MSM), Zakopane: 020031.1-10

  2. Ivan S, Fedor S, Fedor T (2019) Calculation of linear induction motor features by detailed equivalent circuit method taking into account non-linear electromagnetic and thermal properties. Comput Math Appl 78:3187–3199

    Article  MathSciNet  MATH  Google Scholar 

  3. Romano D, Antonini G (2016) Augmented quasi-static partial element equivalent circuit models for transient analysis of lossy and dispersive magnetic materials. IEEE Trans Magn 52:59557–59566

    Article  Google Scholar 

  4. Choi M, Kim B (2019) Calculation of PM vernier motors using an improved air-gap permeance Function. IEEE Trans Magn 55:59557–59566

    Article  Google Scholar 

  5. Ba X, Guo Y, Zhu J (2018) An equivalent circuit model for predicting the core loss in a claw-pole permanent magnet motor with soft magnetic composite core. IEEE Trans Magn 54:8206706

    Article  Google Scholar 

  6. Yu Q, Wang X, Cheng Y (2016) Magnetic modeling of saliency effect for saturated electrical machines with a new calculation method. IEEE Trans Magn 52:2996–3002

    Article  Google Scholar 

  7. Sun X, Diao K, Lei G (2019) Real-time HIL mulation for a segmented-rotor switched reluctance motor using a new magnetic equivalent circuit. IEEE Trans Ind Electron 35:3841–3849

    Article  Google Scholar 

  8. Yu Q, Bilgin B, Emadi A (2015) Loss and efficiency analysis of a switched reluctance machine for traction application with a new calculation method. IEEE Trans Ind Electron 62:3072–3080

    Article  Google Scholar 

  9. Lee K-D, Lee J, Lee H-W (2015) Inductance calculation of flux concentrating permanent magnet motor through nonlinear magnetic equivalent circuit. IEEE Trans Magn 51:2996–3002

    Article  Google Scholar 

  10. Naderi P, Shiri A (2017) Rotor/stator inter-turn short circuit fault detection for saturable wound-rotor induction machine by modified magnetic equivalent circuit approach. IEEE Trans Magn 53(7):1–13

    Article  Google Scholar 

  11. Zhang H, Wang D, Ning Y, Zheng D (2018) Performance study of axial-flux eddy current coupler based on the equivalent circuit model. IEEE ACCESS 6:5679–65689

    Google Scholar 

  12. Liu Y, Tong W, Jin X, Li Z (2018) Magnetic circuit modeling and analysis of unilateral axle-counting sensor. IEEE ACCESS 6:51834–51842

    Article  Google Scholar 

  13. Tong W, Wang S, Wu S, Tang R (2018) A complete quasi-3-D analytical model of no-load magnetic field of double-sided slotted AFPMMs considering end effect. IEEE ACCESS 6:59557–59566

    Article  Google Scholar 

  14. Prieto B, Martínez-Iturralde M, Fontán L, Elosegui I (2015) Analytical calculation of the slot leakage inductance in fractional slot concentrated winding machines. IEEE Trans Ind Electron 62:2742–2752

    Article  Google Scholar 

  15. Zhang X, Du Q, Ma S, Geng H, Hu W, Li Z, Liu G (2018) Permeance analysis and calculation of the double-radial rare-earth permanent magnet voltage-stabilizing generation device. IEEE Access 6:23939–23947

    Article  Google Scholar 

  16. Lee J-G, Lim D-K, Jung H-K (2019) Analysis and design of interior permanent magnet synchronous motor using a sequential-stage magnetic equivalent circuit. IEEE Trans Magn 55(10):1–4

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported in part by the NYSF under Grant 51705499, in part by the 38th Research Institute of China Electronics Technology Group Corporation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hongyang Shi.

Additional information

Publisher's Note

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

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, K., Shi, H., Yin, L. et al. Improvement calculation method of static magnetic field based on equivalent magnetic circuit method. Electr Eng 104, 4255–4264 (2022). https://doi.org/10.1007/s00202-022-01613-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00202-022-01613-5

Keywords

Navigation