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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">10.30724/1998-9903-2021-23-3-70-79</article-id><article-id custom-type="elpub" pub-id-type="custom">probener-1844</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>ЭЛЕКТРОТЕХНИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Модификация генетического алгоритма для комплексной топологической оптимизации ротора синхронных двигателей</article-title><trans-title-group xml:lang="en"><trans-title>Modification of the genetic algorithm for comprehensive topological optimization of the synchronous motors rotor</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>Петров</surname><given-names>Т. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Petrov</surname><given-names>T. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Петров Тимур Игоревич – ассистент кафедры «Электроснабжение промышленных предприятий»</p><p>г. Казань</p></bio><bio xml:lang="en"><p>Timur I. Petrov </p><p>Kazan</p></bio><email xlink:type="simple">tobac15@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><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>2021</year></pub-date><pub-date pub-type="epub"><day>20</day><month>07</month><year>2021</year></pub-date><volume>23</volume><issue>3</issue><fpage>70</fpage><lpage>79</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Петров Т.И., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Петров Т.И.</copyright-holder><copyright-holder xml:lang="en">Petrov T.I.</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/1844">https://www.energyret.ru/jour/article/view/1844</self-uri><abstract><sec><title></title><p>: Синхронные двигатели с постоянными магнитами (СДПМ) находят все более широкое применение в разнообразных сферах использования электроприводов промышленных предприятий. Для каждого применения электропривода необходимо соблюдать конкретные технические требования, такие как, максимальный крутящий момент, допустимая температура нагрева электродвигателя и выполнение требуемых условий по прочностным характеристикам ротора и статора.</p><p>У СДПМ есть ряд преимуществ перед другими типами двигателей. Асинхронные двигатели выработали ресурс рациональной энергоэффективности, а синхронные двигатели более энергоэффективны без доработок. СДПМ имеют меньшие весогабаритные параметры, что позволяет использовать их в более широкой области применения, например, в бытовой технике, роботах и многих других приводах.</p></sec><sec><title>ЦЕЛЬ</title><p>ЦЕЛЬ. Целью является разработка методики топологической комплексной оптимизации конструкции двигателя, базирующийся на генетическом алгоритме.</p></sec><sec><title>МЕТОДЫ</title><p>МЕТОДЫ. Метод генетического алгоритма более точен, чем традиционные аналитические методы, используемые при анализе машин переменного тока, и занимает меньше времени, чем обычная процедура проектирования методом проб и ошибок, основанная на методе конечных элементов. Главный критерий оптимизации - это увеличение крутящего момента при сохранении массы самого дорогого материала (постоянных магнитов), а важным моментом будет проверка полученной конструкции на термические и прочностные характеристики. Эта особенность важна для изготовления спроектированного двигателя на производстве.</p></sec><sec><title>РЕЗУЛЬТАТЫ</title><p>РЕЗУЛЬТАТЫ. Программа на языке Python, которая позволила провести комплексную топологическую оптимизацию для рассматриваемого двигателя.</p></sec><sec><title>ЗАКЛЮЧЕНИЕ</title><p>ЗАКЛЮЧЕНИЕ. Представлена топологическая оптимизация, основанная на методе модификации конструкции ротора с использованием генетического алгоритма с дополнениями, необходимыми для корректной работы с синхронными двигателями.</p></sec></abstract><trans-abstract xml:lang="en"><p>Permanent magnet synchronous motors (PMSM) are widely used in various fields of application of electric drives of industrial enterprises. For each application of the electric drive, it is necessary to accept technical requirements, such as the maximum torque of the electric motor and the fulfillment of the required conditions for the strength characteristics of the rotor and stator.</p><p>PMSM has a number of advantages over other types of engines. Asynchronous motors have developed resource rational energy efficiency, while synchronous motors are more energy efficient without modifications. PMSM have smaller weight and size parameters, which allows them to be used in a wider field of application, for example, in household appliances, robots and many other drives.</p><sec><title>TARGET</title><p>TARGET. The aim is to develop a methodology for topological complex optimization of the engine design, based on a genetic algorithm.</p></sec><sec><title>METHODS</title><p>METHODS. The genetic algorithm is more accurate than traditional analytical methods, the method used in the analysis of AC machines, takes less time than the usual trial and error design procedure based on the finite element method. The main optimization criterion is an increase in torque while maintaining the mass of the most expensive material (permanent magnets). This feature is important for the manufacture of a designed engine in production.</p></sec><sec><title>RESULTS</title><p>RESULTS. A program has been written in Python, which made it possible to carry out a comprehensive topological optimization for the engine under consideration.</p></sec><sec><title>CONCLUSION</title><p>CONCLUSION. Topological optimization based on the method of modifying the rotor design using a genetic algorithm with the additions necessary for correct operation with synchronous motors is presented.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>топологическая оптимизация</kwd><kwd>генетический алгоритм</kwd><kwd>конструкция ротора</kwd><kwd>постоянные магниты</kwd><kwd>синхронный двигатель</kwd></kwd-group><kwd-group xml:lang="en"><kwd>topological optimization</kwd><kwd>genetic algorithm</kwd><kwd>rotor design</kwd><kwd>permanent magnets</kwd><kwd>synchronous motor</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 19-37-90134.</funding-statement><funding-statement xml:lang="en">The reported study was funded by RFBR, project number 19-37-90134.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Мягков Л.Л., Сивачев С.М., Стрижов Е.Е., и др. 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