procyberВестник кибернетикиProceedings in Cybernetics1999-7604Бюджетное учреждение высшего образования Ханты-Мансийского автономного округа – Югры «Сургутский государственный университет»10.35266/1999-7604-2025-4-9procyber-723Research ArticleФИЗИКО-МАТЕМАТИЧЕСКИЕ НАУКИPhysics and MathematicsМатематическое моделирование модернизированного бесщеточного двигателя постоянного тока на максимальных оборотахMathematical modeling of modernized brushless direct current motor working at maximum speedhttps://orcid.org/0000-0002-4708-6556ТкаченкоС. Н.TkachenkoS. N.

кандидат технических наук, доцент

Candidate of Sciences (Engineering), Docent

tkasergey@yandex.ruhttps://orcid.org/0000-0002-4090-662XКривогузоваА. С.KrivoguzovaA. S.

аспирант

Postgraduate

https://orcid.org/0000-0003-2610-6551ШпилевойА. А.ShpilevoiA. A.

кандидат физико-математических наук, доцент

Candidate of Sciences (Physics and Mathematics), Docent

Балтийский федеральный университет имени Иммануила Канта, КалининградРоссияБалтийский федеральный университет имени Иммануила Канта, КалининградRussian Federation2025181220252448092Copyright © Ткаченко С.Н., Кривогузова А.С., Шпилевой А.А., 20252025Ткаченко С.Н., Кривогузова А.С., Шпилевой А.А.Tkachenko S.N., Krivoguzova A.S., Shpilevoi A.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.vestcyber.ru/jour/article/view/723

В работе проведено экспериментальное исследование модернизированного бесщеточного двигателя постоянного тока и разработаны математическая и параметрическая модели для расчета максимальных оборотов на основе параметров данного двигателя. В ходе экспериментов на испытательном стенде были получены зависимости числа оборотов двигателя от тока на каждой из его фаз. Данные зависимости отражают основные режимы работы двигателя и позволяют получить значения максимального тока и оборотов. Экспериментально установлено, что количество витков в обмотках имеет предельное значение, признаками чего является резкое увеличение максимального тока без изменения оборотов двигателя. В работе разработана параметрическая модель, которая связывает легко измеряемые электрические характеристики модернизированного бесщеточного двигателя постоянного тока и батареи питания с максимальными оборотами. Также предложена математическая модель подобного двигателя, позволяющая рассчитывать максимальный ток и соответствующие обороты на основании его параметров. Показано, что при разработке подобных моделей необходимо учитывать влияние как базовых характеристик, так и значение противоэлектромоторной силы, поскольку влияние последней при максимальных оборотах очень велико.

The paper presents an experimental study of a modernized brushless direct current motor and develops mathematical and parameter-oriented models for calculating maximum speed based on the characteristics of the motor. The experiments on the test bed show the dependency relations of the motor revolutions to the current at each of its phases. The specified dependencies reflect the main motor settings and allow obtaining the peak current and speed values.The testing establishes the fact that the winding coil amount has a limit. A sudden increase in the maximumcurrent specifies it without changes in the number of motor revolutions. A parameter-oriented model is developed by linking the conveniently measurable electrical characteristics of a modernized brushless direct current motor and a battery with the maximum speed. Also, a mathematical model of such a motor is proposed, which makes it possible to calculate the peak current and corresponding revolutions based on its parameters. The study shows the necessity of considering the influence of the chief characteristics and counter-electromotive force while working on the development of similar models, as the impact of the latter is a major at maximum speed.

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The authors declare that there are no conflicts of interest present.