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Mathematical simulation of brushless high-speed permanent magnet motor

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Category: Content №4 2025

Last Updated on 26 August 2025

Published on 30 November -0001

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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

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