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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">probener</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. ПРОБЛЕМЫ ЭНЕРГЕТИКИ</journal-title><trans-title-group xml:lang="en"><trans-title>Power engineering: research, equipment, technology</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-9903</issn><issn pub-type="epub">2658-5456</issn><publisher><publisher-name>Kazan State Power Engineering  University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.30724/1998-9903-2024-26-3-50-65</article-id><article-id custom-type="elpub" pub-id-type="custom">probener-3079</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ЭЛЕКТРОТЕХНИЧЕСКИЕ КОМПЛЕКСЫ И СИСТЕМЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTROTECHNICAL COMPLEXES AND SYSTEMS</subject></subj-group></article-categories><title-group><article-title>Методы оптимизации роторов синхронных электродвигателей с постоянными магнитами</article-title><trans-title-group xml:lang="en"><trans-title>Methods for optimizing rotors of synchronous electric motors with permanent magnets</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Майоров</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Maiorov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Майоров Андрей Александрович – аспирант, инженер ЗАО НИЦ «ИНКОМСИСТЕМ»</p><p>г. Казань</p></bio><bio xml:lang="en"><p>Andrei A. Maiorov</p><p>Kazan</p></bio><email xlink:type="simple">mayorov19977@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сафин</surname><given-names>А. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Safin</surname><given-names>A. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сафин Альфред Робертович – д-р техн. наук, профессор кафедры «Электроснабжение промышленных предприятий»</p><p>г. Казань</p></bio><bio xml:lang="en"><p>Al'fred R. Safin</p><p>Kazan</p></bio><email xlink:type="simple">sarkazan@bk.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ЗАО НИЦ «ИНКОМСИСТЕМ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>REC CJSC «INCOMSYSTEM»</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Казанский Государственный Энергетический Университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kazan State Power Engineering University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>10</day><month>09</month><year>2024</year></pub-date><volume>26</volume><issue>3</issue><fpage>50</fpage><lpage>65</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Майоров А.А., Сафин А.Р., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Майоров А.А., Сафин А.Р.</copyright-holder><copyright-holder xml:lang="en">Maiorov A.A., Safin A.R.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.energyret.ru/jour/article/view/3079">https://www.energyret.ru/jour/article/view/3079</self-uri><abstract><p>АКТУАЛЬНОСТЬ данного исследования заключается в том, чтобы определить наиболее эффективный метод оптимизации ротора синхронного электродвигателя с постоянными магнитами. В настоящее время синхронные электродвигатели с постоянными магнитами находят все большее применение в различных сферах. Для каждой определенной задачи необходимо разрабатывать синхронный электродвигатель с постоянными магнитами с определенным характеристиками (крутящим моментом, условиями охлаждения и т.д.). Для разработки оптимальной конструкции синхронного электродвигателя с постоянными магнитами используются различные методы оптимизации.</p><sec><title>ЦЕЛЬ</title><p>ЦЕЛЬ. Обычные методы оптимизации конструкции синхронного электродвигателя с постоянными магнитами направлены на определение оптимальных значений параметризованных переменных путем их изменения в заданном диапазоне с использованием алгоритмов оптимизации. Применение такого подхода ограничивается параметризацией, которая определена опытом проектировщика и производственными ограничениями. В настоящее время вследствие развития технологий производства металлов и постоянных магнитов, аддитивных технологий, появилась возможность изготавливать металлы и постоянные магниты различных геометрических форм. Это позволило применить метод топологической оптимизации. В настоящее время топологическая оптимизация широко применяется в строительстве, а применение топологической оптимизации в проектировании синхронных электродвигателей с постоянными магнитами только сейчас получает бурное развитие. Целью является рассмотреть существующие методы оптимизации, определить плюсы и минусы каждого из методов оптимизации.</p></sec><sec><title>МЕТОДЫ</title><p>МЕТОДЫ. При решении поставленных задач производился сравнительный анализ различных методов оптимизации роторов синхронных электродвигателей с постоянными магнитами.</p></sec><sec><title>РЕЗУЛЬТАТЫ</title><p>РЕЗУЛЬТАТЫ. В статье описана актуальность рассматриваемой темы. Определены наиболее эффективные методы оптимизации роторов синхронных электродвигателей с постоянными магнитам. Определены условия, в которых наиболее эффективно применение того или иного метода оптимизации ротора.</p></sec><sec><title>ЗАКЛЮЧЕНИЕ</title><p>ЗАКЛЮЧЕНИЕ. В статье описаны различные методы оптимизации роторов синхронных электродвигателей с постоянными магнитами. Описаны плюсы и минусы различных методов оптимизации. После изучения различных видов оптимизации, пришли к выводу, что наиболее эффективным методом оптимизации является метод оптимизации топологии, для роторов синхронных электродвигателей с постоянными магнитами.</p></sec></abstract><trans-abstract xml:lang="en"><p>RELEVANCE of research is the most preferred method of efficient rotor synchronous motor with some magnets. Currently, synchronous electric motors with ethereal magnets are increasingly used in various fields. For each task, it is necessary to implement s synchronous electric motor with small magnets with desire (torque, emotional cooling and many others). In order to make the most efficient use of a synchronized motor with universal magnets, methods are applied. TARGET. The usual methods of standard design of a synchronous motor with original magnets are aimed at determining the optimal parapets to be applied by changing them at a given value using indicative algorithms. The application of this approach is limited by parameterization, which is determined by the experience of the designer and manufacturing constraints. At present, the development of technologies for the production of metals and magnets, it has become possible to manufacture metals and detect magnets of various geometric shapes. It is this use of the topological estimation method. At present, topological modernization of large-scale construction, the application of topological strategy in the design of synchronous electric motors with federal magnets is only now gaining rapid development.</p><sec><title>METHODS</title><p>METHODS. When solving the tasks set, a comparative analysis of various merged for comparative analysis of various methods for comparing the rotors of synchronous electrical motors with natural magnets was carried out.</p></sec><sec><title>RESULTS</title><p>RESULTS. The article describes the relevance of the topic under consideration. The most effective methods for optimizing the rotors of synchronous electrical motors with permanent magnets are determines. The conditions under which the application of one or another method oh optimizing the rotor is most effective are determined.</p></sec><sec><title>CONCLUSION</title><p>CONCLUSION. The article describes various method for optimizing the rotors of permanent magnet synchronous motors. The pros and cons of various optimization methods are described after studying various types of optimizations, it was concluded that the most effective optimization method is the topology optimization method for rotors of permanent magnets synchronous motors.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>синхронный электродвигатель с постоянными магнитами</kwd><kwd>методы оптимизации ротора</kwd><kwd>постоянные магниты</kwd><kwd>топология</kwd></kwd-group><kwd-group xml:lang="en"><kwd>synchronous electric motor with permanent magnets</kwd><kwd>rotor optimization methods</kwd><kwd>permanent magnets</kwd><kwd>topology</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Bramerdorfer G., Tapia J.A., Pyrhonen J.J., Cavagnino A. Modern electrical machine desing optimization: Techniques trends, and best practices // IEE Transactions on Industrial Electronics. 2018. 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