Науковий вісник НГУ

Mathematical simulation of brushless high-speed permanent magnet motor

• 
• 

User Rating:  / 0

PoorBest 

Details

Category: Content №4 2025

Last Updated on 26 August 2025

Published on 30 November -0001

Hits: 3230

Authors:

M. A. Kovalenko, orcid.org/0000-0002-5602-2001, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine,  e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

D. V. Tsyplenkov, orcid.org/0000-0002-0378-5400, Dnipro University of Technology, Dnipro, Ukraine; Dnepropetrovsk Scientific Research Institute of Forensic Expertise, Dnipro, Ukraine,  e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

I. Ya. Kovalenko*, orcid.org/0000-0003-1097-2041, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine,  e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

E. O. Titov, orcid.org/0009-0007-8222-7477, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine,  e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O. O. Bazarov, orcid.org/0009-0008-8491-2678, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine,  e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

повний текст / full article

Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2025, (4): 108 - 116

https://doi.org/10.33271/nvngu/2025-4/108

Abstract:

Purpose. To develop a numerical two-dimensional field mathematical model of a brushless high-speed permanent magnet motor to estimate its parameters, characteristics and determine the magnitude of losses in the magnetic core under different control methods.

Methodology. The finite element method was used to calculate the electromagnetic field distribution in the computational domain of the motor under study. To develop two-dimensional and three-dimensional drawings of the design area, methods and tools of computer-aided design were used. Numerical methods for calculating losses in the magnetic core developed by Giovanni Bertotti were used to calculate losses in the magnetic core. The Fourier series expansion method and spectral analysis methods were used to model various motor control methods.

Findings. A two-dimensional numerical circular-field mathematical model of a brushless high-speed motor with permanent magnets has been developed. The model was developed to estimate the distribution of the electromagnetic field and eddy currents in the structural and active elements of the motor in question in order to determine the magnitude of losses under different power supply methods. The paper investigates the dependence of losses in individual structural elements of the motor under study when powered by a sinusoidal voltage source and when powered by a PWM inverter. Replacing permanent magnets with rectangular magnets reduces the cost of motor manufacturing. The use of rectangular permanent magnets reduces losses in the computational domain, the magnitude of electromagnetic torque fluctuations, but reduces the magnitude of traction.

Originality. Using the developed numerical circular-field mathematical model, it is proved that losses in the magnetic core of a high-speed motor and its structural elements significantly depend on the control method and configuration of the magnetic system and the motor as a whole. The study allows solving urgent scientific and practical problems related to the optimization of the structure depending on the optimization criteria: reduction of heating or losses, reduction of vibration and noise, etc.

Practical value. The modelling results indicate the prospects for the industrial implementation of high-speed permanent magnet motors as part of various complexes and systems: vehicles, hand-held power tools, aircraft, unmanned devices and systems, etc.

Keywords: high-speed motor, mathematical simulation, permanent magnets, magnetic core losses, electromagnetic torque

References.

1. Golovko, V. M., Ostroverkhov, M. Ya., Kovalenko, M. A., Kovalenko, I. Ya., & Tsyplenkov, D. V. (2022). Mathematical simulation of autonomous wind electric installation with magnetoelectric generator. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (5), 74-79. https://doi.org/10.33271/nvngu/2022-5/074

2. Chumack, V., Bazenov, V., Tymoshchuk, O., Kovalenko, M., Tsyvinskyi, S., Kovalenko, I., & Tkachuk, I. (2021). Voltage stabilization of a controlled autonomous magnetoelectric generator with a magnetic shunt and permanent magnet excitation. Eastern-European Journal of Enterprise Technologies, 6(5)(114), 56-62. https://doi.org/10.15587/1729-4061.2021.246601

3. Ostroverkhov, M., Chumack, V., Kovalenko, M., & Kovalenko, I. (2022). Development of the control system for taking off the maximum power of an autonomous wind plant with a synchronous magnetoelectric generator. Eastern-European Journal of Enterprise Technologies, 4(2)(118), 67-78. https://doi.org/10.15587/1729-4061.2022.263432

4. Gerada, D., Mebarki, A., Brown, N. L., Gerada, C., Cavagnino, A., & Boglietti (2013). A high-speed electrical machines: Technologies, trends, and developments. IEEE Transactions on Industrial Electronics, 61, 2946-2959. https://doi.org/10.1109/TIE.2013.2286777

5. Dong, J., Huang, Y., Jin, L., & Lin, H. (2016). Comparative study of surface-mounted and interior permanent-magnet motors for high-speed applications. IEEE Transactions on Applied Superconductivity, 26, 1-1. https://doi.org/10.1109/TASC.2016.2514342

6. Parivar, H. (2022). An overview of high-speed permanent magnet synchronous machines: Materials, losses, and structures (SPM or IPM?). https://doi.org/10.13140/RG.2.2.24016.58884

7. Qi, Z., Zhang, Y., Yu, S., & Xu, Z. (2022). Design and analysis of a 30 kW, 30.000 r/min high-speed permanent magnet motor for compressor application. Energies, 15, 3923. https://doi.org/10.3390/en15113923

8. Yang, H., Zhu, Z. Q., Lin, H., Li, H., & Lyu, S. (2019). Analysis of consequent-pole flux reversal permanent magnet machine with biased flux modulation theory. IEEE Transactions on Industrial Electronics, PP, 1-1. https://doi.org/10.1109/TIE.2019.2902816

9. Chumak, V., Ostrovierkhov, M., Kovalenko, M., Holovko, V., & Kovalenko, I. (2022). Correction of output power of non-multiplicator wind electrical installation at discrete and random speed values. Visnyk NTU “KhPI”. Series: Problems of electrical machines and apparatus perfection. Theory and practice, 2(8), 39-46. https://doi.org/10.20998/2079-3944.2022.2.07

10.      Kovalenko, M., Tkachuk, I., Kovalenko, I., Zhuk, S., Kryshnov, O., Perepelytsia, O., & Titov, Ye. (2024). Overview of motors for heavy drones. Visnyk NTU “KhPI”. Series: Problems of electrical machines and apparatus perfection. Theory and practice, 1(11), 35-40. https://doi.org/10.20998/2079-3944.2024.1.07

11.      Wan, Y., Li, Q., Guo, J., & Cui, S. (2020). Thermal analysis of a Gramme-ring-winding high-speed permanent-magnet motor for pulsed alternator using CFD. IET Electric Power Applications, 14. https://doi.org/10.1049/iet-epa.2020.0086

12.      Aiso, K., Akatsu, K., & Aoyama, Y. (2021). A novel flux-switching magnetic gear for high-speed motor drive system. IEEE Transactions on Industrial Electronics, 68(6), 4727-4736. https://doi.org/10.1109/TIE.2020.2988230

13.      Wan, Y., Wu, S., & Cui, S. (2016). Choice of pole spacer materials for a high-speed PMSM based on the temperature rise and thermal stress. IEEE Transactions on Applied Superconductivity, 26, 1-1. https://doi.org/10.1109/TASC.2016.2594847

14.      Wan, Y., Cui, S., Wu, S., & Song, L. (2018). Electromagnetic design and losses analysis of a high-speed permanent magnet synchronous motor with toroidal windings for pulsed alternator. Energies, 11. https://doi.org/10.3390/en11030562

15.      Du, G., & Huang, N. (2019). Friction loss and thermal analysis of a high-speed permanent magnet machine for waste heat power generation application. IEEE Access, 1-1. https://doi.org/10.1109/ACCESS.2019.2940615

16.      Zhang, C., Chen, L., Wang, X., & Tang, R. (2020). Loss calculation and thermal analysis for high-speed permanent magnet synchronous machines. IEEE Access, 1-1. https://doi.org/10.1109/ACCESS.2020.2994754

17.      Feng, J., Wang, Y., Guo, S., Chen, Z., & Zhu, Z. Q. (2018). Split ratio optimization of high-speed permanent magnet brushless machines considering mechanical constraints. IET Electric Power Applications, 13. https://doi.org/10.1049/iet-epa.2018.5051

18.      Qin, X.-F., & Shen, J. (2020). Split ratio optimisation of high-speed permanent magnet synchronous motor with multi-physics constraints. IET Electric Power Applications, 14, 2450-2461. https://doi.org/10.1049/iet-epa.2020.0308

19.      Ma, J. (2019). Optimal split ratio in small high-speed PM machines considering both stator and rotor loss limitations. China Electrotechnical Society Transactions on Electrical Machines and Systems, 3, 3-11. https://doi.org/10.30941/CESTEMS.2019.00002

20.      Du, G., Ye, W., Zhang, Y., Wang, L., & Pu, T. (2022). Comprehensive analysis of influencing factors of AC copper loss for high-speed permanent magnet machine with round copper wire windings. Machines, 10, 731. https://doi.org/10.3390/machines10090731

21.      Shin, K.-H., Park, H.-I., Cho, H.-W., & Choi, J.-Y. (2018). Semi-Three-Dimensional Analytical Torque Calculation and Experimental Testing of an Eddy Current Brake With Permanent Magnets. IEEE Transactions on Applied Superconductivity, 1-1. https://doi.org/10.1109/TASC.2018.2795010

22.      Shin, K.-H., Hong, K., Cho, H.-W., & Choi, J.-Y. (2018). Core Loss Calculation of Permanent Magnet Machines Using Analytical Method. IEEE Transactions on Applied Superconductivity, 1-1. https://doi.org/10.1109/TASC.2018.2800706

23.      Kim, C.-W., Koo, M.-M., Kim, J., Ahn, J.-H., Hong, K., & Choi, J.-Y. (2018). Core Loss Analysis of Permanent Magnet Linear Synchronous Generator with Slotless Stator. IEEE Transactions on Applied Superconductivity, 1-1. https://doi.org/10.1109/TASC.2018.2802904

24.      Zhu, S., Cheng, M., Dong, J., & Du, J. (2014). Core Loss Analysis and Calculation of Stator Permanent-Magnet Machine Considering DC-Biased Magnetic Induction. IEEE Transactions on Industrial Electronics, 61, 5203-5212. https://doi.org/10.1109/TIE.2014.2300062

25.      Okamoto, S., Denis, N., Ieki, M., Kato, Y., & Fujisaki, K. (2016). Core Loss Reduction of an Interior Permanent Magnet Synchronous Motor Using Amorphous Stator Core. IEEE Transactions on Industry Applications, 52, 1-1. https://doi.org/10.1109/TIA.2016.2532279

• < Prev
• Next >