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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="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Bulletin of the Russian Academy of Sciences. Energetics</journal-id><journal-title-group><journal-title xml:lang="en">Bulletin of the Russian Academy of Sciences. Energetics</journal-title><trans-title-group xml:lang="ru"><trans-title>Известия Российской академии наук. Энергетика</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0002-3310</issn><issn publication-format="electronic">3034-6495</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">660199</article-id><article-id pub-id-type="doi">10.31857/S000233102302005X</article-id><article-id pub-id-type="edn">JZIZSY</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></subject></subj-group></article-categories><title-group><article-title xml:lang="en">A Review of Mathematical Models of Energy Storage Systems for Electric Power Systems Simulation. Part I</article-title><trans-title-group xml:lang="ru"><trans-title>Обзор математических моделей систем накопления энергии для моделирования электроэнергетических систем. Часть I</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Razzhivin</surname><given-names>I. A.</given-names></name><name xml:lang="ru"><surname>Разживин</surname><given-names>И. А.</given-names></name></name-alternatives><email>lionrash@tpu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Suvorov</surname><given-names>A. A.</given-names></name><name xml:lang="ru"><surname>Суворов</surname><given-names>А. А.</given-names></name></name-alternatives><email>lionrash@tpu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Andreev</surname><given-names>M. V.</given-names></name><name xml:lang="ru"><surname>Андреев</surname><given-names>М. В.</given-names></name></name-alternatives><email>lionrash@tpu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Ufa</surname><given-names>R. A.</given-names></name><name xml:lang="ru"><surname>Уфа</surname><given-names>Р. А.</given-names></name></name-alternatives><email>lionrash@tpu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Askarov</surname><given-names>A. B.</given-names></name><name xml:lang="ru"><surname>Аскаров</surname><given-names>А. Б.</given-names></name></name-alternatives><email>lionrash@tpu.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">National Research Tomsk Polytechnic University</institution></aff><aff><institution xml:lang="ru">Федеральное государственное автономное образовательное учреждение высшего образования 
“Национальный исследовательский Томский политехнический университет”</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2023-03-01" publication-format="electronic"><day>01</day><month>03</month><year>2023</year></pub-date><issue>2</issue><fpage>58</fpage><lpage>80</lpage><history><date date-type="received" iso-8601-date="2025-02-22"><day>22</day><month>02</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="ru">Copyright ©; 2023, Российская академия наук</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0002-3310/article/view/660199">https://journals.eco-vector.com/0002-3310/article/view/660199</self-uri><abstract xml:lang="en"><p id="idm45181322325248">Nowadays energy storage systems (ESS) are becoming an integral part of modern power systems (PES) and are used to solve a wide range of tasks. However, as the penetration level and power of ESS grows, their impact on the processes and operation modes of EPS is also increasing. Therefore, there is a need for using mathematical models of ESS, taking into account the specifics, various distinctive properties of each type and class of EPS, as part of the models of large-scale EPS. However, in foreign and national literature there are no review papers about detailed mathematical models of commonly use types and classes of SNE and simplifications used for them, which can be used to adequately simulate the large-scale EPS depending on the research tasks. Therefore, the first part of this paper considers the most promising types and classes of SNE used in the EPS, as well as the a-reas and tasks of their use. The principles of implementation of detailed mathematical models and structures of automatic control systems are described for the considered types and classes of SNE. In the second part of the paper the modern approaches of simplification of mathematical models of SNE, and analysis of consequences of such simplifications and areas of their application are given. Thus, the review paper consists of two parts and can help in choosing a mathematical model of the SNE for solving specific research tasks of analysis of their operation as a part of real EPS.</p></abstract><trans-abstract xml:lang="ru"><p id="idm45181322323520">В настоящее время системы накопления энергии (СНЭ) становятся неотъемлемой частью современных электроэнергетических систем (ЭЭС) и используются для решения широкого спектра задач. С ростом мощности и объема их внедрения СНЭ начинают оказывать влияние на режимы и процессы в ЭЭС. В связи с этим возникает необходимость использования математических моделей СНЭ, учитывающих специфику, различные отличительные свойства каждого вида и типа СНЭ в составе моделей реальных ЭЭС. Однако в зарубежной и отечественной литературе отсутствуют обзорные работы о детальных математических моделях распространенных видов СНЭ и применяемых для них упрощений, которые можно использовать для адекватного моделирования ЭЭС реальной размерности в зависимости от решаемых задач. Поэтому в первой части данной статьи рассмотрены наиболее перспективные типы СНЭ, применяемые в составе ЭЭС, а также области и задачи их использования. Для рассматриваемых СНЭ описаны принципы реализации детальных математических моделей, структуры систем автоматического управления. Во второй части статьи приведены современные подходы к упрощению математических моделей СНЭ, последствия таких упрощений и области их применения. Таким образом, обзорная статья может помочь в выборе математической модели СНЭ для решения конкретных задач анализа их функционирования в составе реальных ЭЭС.</p></trans-abstract><kwd-group xml:lang="en"><kwd>energy storage systems</kwd><kwd>types of energy storage</kwd><kwd>mathematical models</kwd><kwd>electric power systems</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>системы накопления электрической энергии</kwd><kwd>накопитель</kwd><kwd>математические модели</kwd><kwd>электроэнергетические системы</kwd></kwd-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Electrical energy storage: white paper. Technical report. Prepared by electrical energy storage project team. International Electrotechnical Commission (IEC), Published December 2011.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Gallo A.B., Simões-Moreira J.R., Costa H.K.M. 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