<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">omna</journal-id><journal-title-group><journal-title xml:lang="ru">Омский научный вестник</journal-title><trans-title-group xml:lang="en"><trans-title>Omsk Scientific Bulletin</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1813-8225</issn><issn pub-type="epub">2541-7541</issn><publisher><publisher-name>Омский государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.25206/1813-8225-2025-193-68-75</article-id><article-id custom-type="edn" pub-id-type="custom">DNZJSS</article-id><article-id custom-type="elpub" pub-id-type="custom">omna-164</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 И ЭЛЕКТРОТЕХНИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ENERGY AND ELECTRICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Математическая модель материального баланса твердооксидного электролизера</article-title><trans-title-group xml:lang="en"><trans-title>The use of mathematical model to evaluate the material balance of a solid oxide electrolyser</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2598-2269</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Голоднова</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Golodnova</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ГОЛОДНОВА Анастасия Игоревна, младший научный  сотрудник лаборатории электрохимических устройств и топливных элементов</p><p>AuthorID (РИНЦ): 767921</p><p>г. Екатеринбург</p></bio><bio xml:lang="en"><p>GOLODNOVA Anastasia Igorevna, Junior Researcher, Laboratory of Electrochemical Devices and Fuel Cells</p><p>AuthorID (RSCI): 767921</p><p>Yekaterinburg</p></bio><email xlink:type="simple">a.golodnova@ihte.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3113-598X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ерпалов</surname><given-names>М. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Erpalov</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ЕРПАЛОВ Михаил Викторович, заведующий лабораторией электрохимических устройств и топливных элементов</p><p>AuthorID (РИНЦ): 788519</p><p>AuthorID (SCOPUS): 55747315200</p><p>ResearcherID: N-7453-2016</p><p>г. Екатеринбург</p></bio><bio xml:lang="en"><p>ERPALOV Mikhail Viktorovich, Head of the Laboratory of Electrochemical Devices and Fuel Cells</p><p>AuthorID (RSCI): 788519</p><p>AuthorID (SCOPUS): 55747315200</p><p>ResearcherID: N-7453-2016</p><p>Yekaterinburg</p></bio><email xlink:type="simple">m.erpalov@ihte.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2958-310X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Голоднов</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Golodnov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ГОЛОДНОВ Антон Игоревич, доцент кафедры литейного производства и упрочняющих технологий Уральского федерального университета</p><p>AuthorID (РИНЦ): 767918</p><p>AuthorID (SCOPUS): 57211929114</p><p>ResearcherID: R-3266-2016</p><p>г.  Екатеринбург</p></bio><bio xml:lang="en"><p>GOLODNOV Anton Igorevich, Associate Professor of the Foundry Production and Hardening Technologies Department</p><p>AuthorID (RSCI): 767918</p><p>AuthorID (SCOPUS): 57211929114</p><p>ResearcherID: R-3266-2016</p><p>Yekaterinburg</p></bio><email xlink:type="simple">a.i.golodnov@urfu.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Институт высокотемпературной электрохимии Уральского отделения РАН<country>Россия</country></aff><aff xml:lang="en">Institute of High-Temperature Electrochemistry of the Ural Branch of the Russian Academy of Sciences<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Уральский федеральный университет<country>Россия</country></aff><aff xml:lang="en">Ural Federal University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>30</day><month>03</month><year>2025</year></pub-date><volume>0</volume><issue>1</issue><fpage>68</fpage><lpage>75</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Голоднова А.И., Ерпалов М.В., Голоднов А.И., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Голоднова А.И., Ерпалов М.В., Голоднов А.И.</copyright-holder><copyright-holder xml:lang="en">Golodnova A.I., Erpalov M.V., Golodnov A.I.</copyright-holder><license 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://onv.omgtu.ru/jour/article/view/164">https://onv.omgtu.ru/jour/article/view/164</self-uri><abstract><p>Решение вопросов эффективного использования твердооксидных электролизеров является перспективным для развития как энергетики, так и промышленности в целом, поэтому исследования в области повышения эффективности и надежности электролизеров проводятся учеными по всему миру. В данной статье рассматривается математическая модель материального баланса для твердооксидного электролизера, позволяющая оптимизировать параметры работы действующего и вновь проектируемого оборудования. В частности, особое внимание направлено на изучение влияния параметров работы электрохимических установок планарной конструкции при электролизе на состав продуктов реакций. На основе расчетных данных для твердооксидного электролизера планарной конструкции определена взаимосвязь между составами реагентов на входе и продуктами на выходе при помощи методов математического моделирования в сравнении с экспериментальными данными.</p></abstract><trans-abstract xml:lang="en"><p>The effective use of solid oxide electrolysers is a promising solution for the energy sector and industry in general. Therefore, scientists all over the world are conducting research on improving the electrolysers' efficiency and reliability. In this paper, a mathematical model of the material balance for a solid oxide electrolyser is considered, which allows optimizing the operating parameters of existing equipment and newly designed equipment.In particular, special attention is focused on studying the effect of the operating parameters of electrochemical plants of planar design during electrolysis on the composition of reaction products. The relation between the compositions of reagents at the inlet and products at the outlet is determined on the basis of calculated data for a planar solid oxide electrolyser using mathematical modeling in comparison with experimental data.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математическое моделирование</kwd><kwd>электрохимические устройства</kwd><kwd>твердооксидный электролизер</kwd><kwd>химические реакции</kwd><kwd>материальный баланс</kwd><kwd>сила тока</kwd><kwd>напряжение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical modeling</kwd><kwd>electrochemical devices</kwd><kwd>solid oxide electrolyser</kwd><kwd>chemical reactions</kwd><kwd>material balance</kwd><kwd>current strength</kwd><kwd>voltage</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">Chung T. D., Chyou Y. P., Yu D. D. Study of the Flow Field in Channels and Internal Manifolds on the Interconnect of a Planar Solid Oxide Fuel Cell // International Conference on Fuel Cell Science, Engineering and Technology. 2005. Vol. 37645. P. 273–280. DOI: 10.1115/FUELCELL2005-74149.</mixed-citation><mixed-citation xml:lang="en">Chung T. D., Chyou Y. P., Yu D. D. Study of the Flow Field in Channels and Internal Manifolds on the Interconnect of a Planar Solid Oxide Fuel Cell // International Conference on Fuel Cell Science, Engineering and Technology. 2005. Vol. 37645. P. 273–280. DOI: 10.1115/FUELCELL2005-74149. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Демин А. К. Разработка твердооксидных электрохимических устройств в ИВТЭ УрО РАН // Физическая химия и электрохимия расплавленных и твердых электролитов: материалы XVI Российской конф. (с междунар. участием): в 2-х т. 2013. Т. 2. С. 78–79. EDN: XFZHFT.</mixed-citation><mixed-citation xml:lang="en">Demin A. K. Razrabotka tverdooksidnykh elektrokhimicheskikh ustroystv v IVTE UrO RAN [Development of solid oxide electrochemical devices at the Institute of HighTemperature Electrochemistry of the Ural Branch of the Russian Academy of Sciences]. Fizicheskaya khimiya i elektrokhimiya rasplavlennykh i tverdykh elektrolitov. V 2 t. Physical Chemistry and Electrochemistry of Molten and Solid Electrolytes. In 2 vols. Yekaterinburg, 2013. Vol. 2. P. 78–79. EDN: XFZHFT. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Распоряжение Правительства РФ от 9 июня 2020 г. № 1523-р «Об Энергетической стратегии РФ на период до 2035 г.». Доступ из информационно-правовой системы «Гарант».</mixed-citation><mixed-citation xml:lang="en">Rasporyazheniye Pravitel’stva RF ot 9 iyunya 2020 g. № 1523-r «Ob Energeticheskoy strategii RF na period do 2035 g.» [Decree of the Government of the Russian Federation No. 1523-r dated 2020.06.09 «On approval of the Energy Strategy of the Russian Federation for the period up to 2035»]. Available at «Garant». (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Бреслер Л. Х., Хайруллина Д. М., Ошанина С. Д. Утилизация и улавливание СО2 // Арктика: современные подходы к производственной и экологической безопасности в нефтегазовом секторе: материалы Междунар. науч.-практ. конф.: в 2 т. / Отв. ред. Ю. В. Сивков. 2023. Т. 2. С. 36–40. EDN: NTVIIH.</mixed-citation><mixed-citation xml:lang="en">Bresler L. Kh., Khayrullina D. M., Oshanina S. D. Utilizatsiya i ulavlivaniye CO2 [CO2 utilization and capture]. Arktika: sovremennyye podkhody k proizvodstvennoy i ekologicheskoy bezopasnosti v neftegazovom sektore. V 2 t. The Arctic: Modern Approaches to Industrial and Environmental Safety in the Oil and Gas Sector. In 2 vols. / Resp. ed. Yu. V. Sivkov. 2023. Vol. 2. P. 36–40. EDN: NTVIIH. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Sugihara S., Iwai H. Experimental investigation of temperature distribution of planar solid oxide fuel cell: effects of gas flow, power generation, and direct internal reforming // International Journal of Hydrogen Energy. 2020. Vol. 45, № 46. P. 25227–25239. DOI:10.1016/j.ijhydene.2020.06.033.</mixed-citation><mixed-citation xml:lang="en">Sugihara S., Iwai H. Experimental investigation of temperature distribution of planar solid oxide fuel cell: effects of gas flow, power generation, and direct internal reforming. International Journal of Hydrogen Energy. 2020. Vol. 45, no. 46. P. 25227–25239. DOI:10.1016/j.ijhydene.2020.06.033. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu Q. Developments on CO2-utilization technologies // Clean Energy. 2019. Vol. 3, № 2. P. 85–100. DOI:10.1093/ce/zkz008.</mixed-citation><mixed-citation xml:lang="en">Zhu Q. Developments on CO2-utilization technologies. Clean Energy. 2019. Vol. 3, no. 2. P. 85–100. DOI:10.1093/ce/zkz008. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Fussler C. Solution for a circular carbon economy // The CO2 Forum Briefing Paper; The CO2 Forum. Lyon, France. 2015.</mixed-citation><mixed-citation xml:lang="en">Fussler C. Solution for a circular carbon economy // The CO 2 Forum Briefing Paper; The CO2 Forum. Lyon, France. 2015. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Qu Z., Aravind P. V., Dekker N., Janssen A. Modeling of flow field in planar solid oxide fuel cell // ECOS 2008 – Proceedings of the 21th International Conference on Efficiency, Cost, Optimization, Simulation and Environmental impact of energy systems, June 2008, Poland. AGH University of Science &amp; Technology/SUT, 2008. P. 1849–1856. ISBN 978-839-223-81-40.</mixed-citation><mixed-citation xml:lang="en">Qu Z., Aravind P. V., Dekker N., Janssen A. Modeling of flow field in planar solid oxide fuel cell // ECOS 2008 – Proceedings of the 21th International Conference on Efficiency, Cost, Optimization, Simulation and Environmental impact of energy systems, June 2008, Poland. AGH University of Science &amp; Technology/SUT, 2008. P. 1849–1856. ISBN 978-839-223-81-40. (In Engl.).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Кравченко К. В. Особенности современных систем имитационного моделирования // Инновационные технологии: теория, инструменты, практика. 2014. Т. 1. С. 211–214. EDN: TEUGMN.</mixed-citation><mixed-citation xml:lang="en">Kravchenko K. V. Osobennosti sovremennykh sistem imitatsionnogo modelirovaniya [Features of modern simulation systems]. Innovatsionnyye tekhnologii: teoriya, instrumenty, praktika. Innovative technologies: theory, tools, practice. 2014. Vol. 1. P. 211–214. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Перфильев М. В., Демин А. К., Кузин Б. Л., Липилин А. С. Высокотемпературный электролиз газов / отв. ред. С. В. Карпачев. Москва: Наука, 1988. 230 c. ISBN 5-02-001399-4.</mixed-citation><mixed-citation xml:lang="en">Perfilyev M. V., Demin A. K., Kuzin B. L., Lipilin A. S. Vysokotemperaturnyy elektroliz gazov [High-temperature electrolysis of gases]. Moscow, 1988. 230 p. ISBN 5-02-001399-4. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Патров Б. В., Сладков И. Б. Физическая химия. СанктПетербург: Изд-во Политех. ун-та, 2003. 188 с.</mixed-citation><mixed-citation xml:lang="en">Patrov B. V., Sladkov I. B. Fizicheskaya khimiya [Physical Chemistry]. Saint Petersburg, 2003. 188 p. (In Russ.).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
