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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">RUDN Journal of Engineering Research</journal-id><journal-title-group><journal-title xml:lang="en">RUDN Journal of Engineering Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Вестник Российского университета дружбы народов. Серия: Инженерные исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2312-8143</issn><issn publication-format="electronic">2312-8151</issn><publisher><publisher-name xml:lang="en">Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">30480</article-id><article-id pub-id-type="doi">10.22363/2312-8143-2021-22-4-339-347</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Features of modeling a highly efficient multistage vapor compression heat pump unit</article-title><trans-title-group xml:lang="ru"><trans-title>Особенности моделирования высокоэффективной многоступенчатой парокомпрессионной теплонасосной установки</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5598-7522</contrib-id><name-alternatives><name xml:lang="en"><surname>Antipov</surname><given-names>Yuri A.</given-names></name><name xml:lang="ru"><surname>Антипов</surname><given-names>Юрий Александрович</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Technical Sciences, Associate Professor of the Department of Mechanical Engineering and Instrumentation, Engineering Academy</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент департамента машиностроения и приборостроения, Инженерная академия</p></bio><email>antipov-yua@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7302-4247</contrib-id><name-alternatives><name xml:lang="en"><surname>Shatalova</surname><given-names>Irina I.</given-names></name><name xml:lang="ru"><surname>Шаталова</surname><given-names>Ирина Ивановна</given-names></name></name-alternatives><bio xml:lang="en"><p>Candidate of Agricultural Sciences, Associate Professor of the Department of Innovative Management in Industries, Engineering Academy</p></bio><bio xml:lang="ru"><p>кандидат сельскохозяйственных наук, доцент департамента инновационного менеджмента в отраслях промышленности, Инженерная академия</p></bio><email>shatalova-ii@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5680-517X</contrib-id><name-alternatives><name xml:lang="en"><surname>Shkarin</surname><given-names>Kirill V.</given-names></name><name xml:lang="ru"><surname>Шкарин</surname><given-names>Кирилл Владимирович</given-names></name></name-alternatives><bio xml:lang="en"><p>postgraduate student, Department of Mechanical Engineering and Instrumentation, Engineering Academy</p></bio><bio xml:lang="ru"><p>аспирант департамента машиностроения и приборостроения, Инженерная академия</p></bio><email>1042180018@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0100-6055</contrib-id><name-alternatives><name xml:lang="en"><surname>Lapin</surname><given-names>Mikhail V.</given-names></name><name xml:lang="ru"><surname>Лапин</surname><given-names>Михаил Владимирович</given-names></name></name-alternatives><bio xml:lang="en"><p>postgraduate student, Department of Mechanical Engineering and Instrumentation, Engineering Academy</p></bio><bio xml:lang="ru"><p>аспирант департамента машиностроения и приборостроения, Инженерная академия</p></bio><email>1042200019@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5175-2219</contrib-id><name-alternatives><name xml:lang="en"><surname>Sokolov</surname><given-names>Dmitry A.</given-names></name><name xml:lang="ru"><surname>Соколов</surname><given-names>Дмитрий Андреевич</given-names></name></name-alternatives><bio xml:lang="en"><p>postgraduate student, Department of Mechanical Engineering and Instrumentation, Engineering Academy</p></bio><bio xml:lang="ru"><p>аспирант департамента машиностроения и приборостроения, Инженерная академия</p></bio><email>1042190196@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Grinin</surname><given-names>Artem O.</given-names></name><name xml:lang="ru"><surname>Гринин</surname><given-names>Артем Олегович</given-names></name></name-alternatives><bio xml:lang="en"><p>student, Department of Mechanical Engineering and Instrumentation, Engineering Academy</p></bio><bio xml:lang="ru"><p>студент департамента машиностроения и приборостроения, Инженерная академия</p></bio><email>1032182301@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6054-2096</contrib-id><name-alternatives><name xml:lang="en"><surname>Toptygin</surname><given-names>Kirill P.</given-names></name><name xml:lang="ru"><surname>Топтыгин</surname><given-names>Кирилл Павлович</given-names></name></name-alternatives><bio xml:lang="en"><p>student, Department of Mechanical Engineering and Instrumentation, Engineering Academy</p></bio><bio xml:lang="ru"><p>студент департамента машиностроения и приборостроения, Инженерная академия</p></bio><email>1032182294@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples’ Friendship University of Russia (RUDN University)</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2021-12-30" publication-format="electronic"><day>30</day><month>12</month><year>2021</year></pub-date><volume>22</volume><issue>4</issue><issue-title xml:lang="en">VOL 22, NO4 (2021)</issue-title><issue-title xml:lang="ru">ТОМ 22, №4 (2021)</issue-title><fpage>339</fpage><lpage>347</lpage><history><date date-type="received" iso-8601-date="2022-03-15"><day>15</day><month>03</month><year>2022</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2021, Antipov Y.A., Shatalova I.I., Shkarin K.V., Lapin M.V., Sokolov D.A., Grinin A.O., Toptygin K.P.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2021, Антипов Ю.А., Шаталова И.И., Шкарин К.В., Лапин М.В., Соколов Д.А., Гринин А.О., Топтыгин К.П.</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="en">Antipov Y.A., Shatalova I.I., Shkarin K.V., Lapin M.V., Sokolov D.A., Grinin A.O., Toptygin K.P.</copyright-holder><copyright-holder xml:lang="ru">Антипов Ю.А., Шаталова И.И., Шкарин К.В., Лапин М.В., Соколов Д.А., Гринин А.О., Топтыгин К.П.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/engineering-researches/article/view/30480">https://journals.rudn.ru/engineering-researches/article/view/30480</self-uri><abstract xml:lang="en"><p style="text-align: justify;">The increase in the cost of fuel and energy resource and the deterioration of the environment from the combustion of traditional fossil fuel, have led to a great interest in energy-saving technology by using secondary energy resources in the thermal energy of industrial, housing and communal services using heat pump units in Russia and abroad. This paper analyzes the well-known two-stage heat pump units, and reveals their advantages in comparison with single-stage. The modeling of a highly efficient multistage vapor compression heat pump unit is proposed. Moreover, a method for calculating a multistage heat pump unit with a high coefficient of performance is presented. In addition, an example of calculating the thermodynamic cycle of a four-stage heat pump unit is presented. The influence of the number of stages on the increase in coefficient of performance in relation to a single-stage heat pump unit, the effect of the temperature difference between the temperature of the high-potential heat source and the temperature of the low-potential heat source on the coefficient of performance were analyzed. In addition, the influence of the initial value of the temperature of the high-potential heat source before heating during the course in the heat pump unit on the value of coefficient of performance for a different number of stages is analyzed under the condition of a constant difference between the heating temperature of the high-potential heat source at the outlet of the heat pump unit and the temperature of the low-potential heat source.</p></abstract><trans-abstract xml:lang="ru"><p style="text-align: justify;">В последнее время вследствие повышения стоимости топливно-энергетических ресурсов и ухудшения экологии от сжигания традиционного органического топлива в России и за рубежом проявился большой интерес к энергосберегающей технологии путем использования вторичных энергоресурсов в тепловой энергии промышленного и жилищно-коммунального хозяйства при помощи теплонасосной установки. В работе анализируются известные двухступенчатые теплонасосные установки, раскрываются их преимущества по сравнению с одноступенчатыми. Предложено моделирование высокоэффективной многоступенчатой парокомпрессионной теплонасосной установки, представлена методика расчета многоступенчатой теплонасосной установки с высоким коэффициентом трансформации теплоты. Приведен пример расчета термодинамического цикла четырехступенчатой теплонасосной установки. Проанализировано влияние количества ступеней на прирост коэффициента преобразования по отношению к одноступенчатой теплонасосной установке, а также влияние разности температур между температурой источника высокопотенциальной теплоты и температурой источника низкопотенциальной теплоты на величину коэффициента трансформации теплоты. Изучено влияние начального значения температуры источника высокопотенциальной теплоты перед нагревом на входе теплонасосной установки на величину коэффициента трансформации теплоты для различного количества ступеней при условии постоянной разности температуры нагрева источника высокопотенциальной теплоты на выходе из теплонасосной установки и температурой источника низкопотенциальной теплоты.</p></trans-abstract><kwd-group xml:lang="en"><kwd>heat pump unit</kwd><kwd>secondary energy resources</kwd><kwd>heat recovery</kwd><kwd>coefficient of performance</kwd><kwd>computer simulation</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>теплонаносная установка</kwd><kwd>вторичные энергоресурсы</kwd><kwd>утилизация тепла</kwd><kwd>коэффициент трансформации теплоты</kwd><kwd>моделирование</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Bell I, Groll E, Braun J, Horton T. 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