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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">10.30724/1998-9903-2020-22-1-38-48</article-id><article-id custom-type="elpub" pub-id-type="custom">probener-1283</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>ЭНЕРГЕТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>POWER ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Разработка математической модели автономного источника электроснабжения с свободно-поршневым двигателем на базе синхронной электрической машины возвратно-поступательного действия с постоянными магнитами</article-title><trans-title-group xml:lang="en"><trans-title>Development of a mathematical model of an autonomous power supply source with a free piston motor on the basis of a synchronous electric returning machine with a 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>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 – канд. техн. наук, доцент кафедры «Электроснабжение промышленных предприятий»</p><p>г. Казань</p></bio><bio xml:lang="en"><p>Alfred R. Safin</p><p>Kazan </p></bio><email xlink:type="simple">sarkazan@bk.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>Ившин</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Ivshin</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ившин Игорь Владимирович – д-р техн. наук, профессор, заведующий кафедрой «Электроснабжение промышленных предприятий»</p><p>г. Казань</p></bio><bio xml:lang="en"><p>Igor V. Ivshin</p><p>Kazan </p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Грачева</surname><given-names>Е. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Gracheva</surname><given-names>E. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Грачева Елена Ивановна – д-р техн. наук, профессор кафедры «Электроснабжение промышленных предприятий»</p><p>г. Казань</p></bio><bio xml:lang="en"><p>Elena I. Gracheva</p><p>Kazan </p></bio><xref ref-type="aff" rid="aff-1"/></contrib><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</p><p>г. Казань</p></bio><bio xml:lang="en"><p>Timur I. Petrov</p><p>Kazan </p></bio><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>2020</year></pub-date><pub-date pub-type="epub"><day>30</day><month>04</month><year>2020</year></pub-date><volume>22</volume><issue>1</issue><fpage>38</fpage><lpage>48</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сафин А.Р., Ившин И.В., Грачева Е.И., Петров Т.И., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Сафин А.Р., Ившин И.В., Грачева Е.И., Петров Т.И.</copyright-holder><copyright-holder xml:lang="en">Safin A.R., Ivshin I.V., Gracheva E.I., 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/1283">https://www.energyret.ru/jour/article/view/1283</self-uri><abstract><p>Одним из актуальных трендов на настоящее время является развитие малой энергетики, что является особенно актуальной задачей для Российской Федерации с ее огромными территориями и спецификой электроэнергетической системы. </p><p>Использование синхронной электрической машины возвратно-поступательного действия с постоянными магнитами в энергетических установках модульного типа позволяет рационально спроектировать автономный источник электроснабжения, получить наиболее оптимальную конструкцию. </p><p>Разработано математическое описание термодинамических, электромеханических и тепловых процессов, происходящих в рассматриваемом энергетическом комплексе (синхронный двигатель), что является необходимым условием для проектирования и оптимизации конструкции автономного электроэнергетического комплекса. </p><p>Согласно теоретическим выкладкам в приложении Matlab на базе дополнительного модуля Simulink была разработана и рассчитана имитационная модель свободно-поршневого двигателя внутреннего сгорания, блоки расчета линейной токовой нагрузки, магнитной индукции статора, магнитной индукции, создаваемой постоянными магнитами индуктора, электромагнитной силы. </p><p>Созданная методика расчета параметров электромагнитной составляющей силы синхронной машины с постоянными магнитами позволяет провести расчет и оптимизацию конструктивных параметров индукторного и статорного элемента рассматриваемого электрического двигателя, что повышает энергоэффективность всей системы. </p></abstract><trans-abstract xml:lang="en"><p>One of the current trends at present is the development of small energy, which is a particularly urgent task for the Russian Federation with its vast territories and the specifics of the electric power system. In the Russian Federation, the bulk of the electricity is generated at large power plants and transmitted through power lines. 60–70% of the country's territory lacks a centralized power supply, where more than 20 million people live, and the development of small and micro-energy facilities is necessary. </p><p>Using a synchronous electric reciprocating machine with permanent magnets in power plants of a modular type makes it possible to rationally design an autonomous power supply source, to obtain the most optimal design. </p><p>The development of methodological design decisions and the optimization of engine design parameters as part of generating and drive complexes is an important scientific task. </p><p>A mathematical description of thermodynamic processes in a free-piston internal combustion engine, electromechanical and thermal processes occurring in a synchronous electric reciprocating machine with permanent magnets is developed, which is a necessary condition for designing and optimizing the design of an autonomous electric power complex. </p><p>According to theoretical calculations, in the Matlab application, on the basis of the additional Simulink module, a simulation model of a free-piston internal combustion engine, linear current load calculation units, stator magnetic induction, magnetic induction created by permanent inductor magnets, electromagnetic force were developed and calculated. </p><p>The created procedure for calculating the parameters of the electromagnetic component of the force of a synchronous machine with permanent magnets allows you to calculate and optimize the design parameters of the inductor and stator element of the electric motor under consideration. Thus, this will allow us to design electric machines with improved energy characteristics, due to the use of the obtained simulation results, which will allow us to use them more efficiently in the composition of generating and drive complexes. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>синхронная электрическая машина</kwd><kwd>имитационное моделирование</kwd><kwd>электромеханика</kwd><kwd>тепловая модель</kwd><kwd>малая энергетика</kwd></kwd-group><kwd-group xml:lang="en"><kwd>synchronous electric machine</kwd><kwd>simulation modeling</kwd><kwd>electromechanics</kwd><kwd>thermal model</kwd><kwd>small energy</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">Григораш ОВ., Божко СВ., Попов АЮ., и др. Автономные источники электроэнергии: состояние и перспективы. 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