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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">ipolytech</journal-id><journal-title-group><journal-title xml:lang="ru">iPolytech Journal</journal-title><trans-title-group xml:lang="en"><trans-title>iPolytech Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-4004</issn><issn pub-type="epub">2782-6341</issn><publisher><publisher-name>Irkutsk National Research Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21285/1814-3520-2022-2-197-216</article-id><article-id custom-type="elpub" pub-id-type="custom">ipolytech-601</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 метода определения гибкости электроэнергетической системы с ветропарками на базе искусственных нейронных сетей</article-title><trans-title-group xml:lang="en"><trans-title>Development of an artificial neural network-based method for determining the flexibility of power systems with high share of wind generation</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6819-7474</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Аксаева</surname><given-names>Е. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Aksaeva</surname><given-names>E. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Елена Сергеевна Аксаева, кандидат технических наук, научный сотрудник</p><p>СО РАН</p><p>Институт систем энергетики им. Л. А. Мелентьева</p><p>Отдел электроэнергетических систем</p><p>664033</p><p>ул. Лермонтова, 130</p><p>Иркутск</p></bio><bio xml:lang="en"><p>Elena S. Aksaeva, Cand. Sci. (Eng.), Researcher</p><p>Siberian Branch of Russian Academy of Sciences</p><p>Melentiev Energy Systems Institute</p><p>Department of Electric Power Systems</p><p>664033</p><p>130, Lermontov St.</p><p>Irkutsk</p></bio><email xlink:type="simple">aksaeva@isem.irk.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/0000-0002-7288-6168</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Глазунова</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Glazunova</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анна Михайловна Глазунова, доктор технических наук, доцент,старший научный сотрудник</p><p>СО РАН</p><p>Институт систем энергетики им. Л. А. Мелентьева</p><p>Отдел электроэнергетических систем</p><p>664033</p><p>ул. Лермонтова, 130</p><p>Иркутск</p></bio><bio xml:lang="en"><p>Anna M. Glazunova, Dr. Sci. (Eng.), Associate Professor, Senior Researcher</p><p>Siberian Branch of Russian Academy of Sciences</p><p>Melentiev Energy Systems Institute</p><p>Department of Electric Power Systems</p><p>664033</p><p>130, Lermontov St.</p><p>Irkutsk</p></bio><email xlink:type="simple">glazunova@isem.irk.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>04</day><month>07</month><year>2022</year></pub-date><volume>26</volume><issue>2</issue><fpage>197</fpage><lpage>216</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Аксаева Е.С., Глазунова А.М., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Аксаева Е.С., Глазунова А.М.</copyright-holder><copyright-holder xml:lang="en">Aksaeva E.S., Glazunova A.M.</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://ipolytech.elpub.ru/jour/article/view/601">https://ipolytech.elpub.ru/jour/article/view/601</self-uri><abstract><p>   Цель исследования – представление метода определения гибкости электроэнергетической системы в режиме онлайн с помощью искусственных нейронных сетей разных структур. Для быстрого вычисления показателя гибкости электроэнергетической системы используется разработанный алгоритм, в который встроена искусственная нейронная сеть с разными парадигмами обучения. Приемлемое время получения результатов обеспечивается разделением процесса вычисления гибкости на процессы, выполняемые офлайн и онлайн. Для обучения нейронных сетей были использованы методы обучения искусственных нейронных сетей. Многослойный персептрон обучается методом обратного распространения ошибки. Обучение нейронной сети Кохонена выполняется по правилу «победитель забирает все». В качестве меры близости между исследуемыми векторами используется Евклидово расстояние. Разработан алгоритм анализа результатов двух типов искусственных нейронных сетей с разными структурами на предмет выбора оптимальной структуры каждого типа нейронной сети, с точки зрения рекомендации к их применению в режиме реального времени, при определении гибкости электроэнергетической системы. Апробация предложенного алгоритма была выполнена на 6-узловой схеме по сценарию: вычислить гибкость данной системы, функционирующей в разных режимах. Анализ критерия показал, что структура многослойного персептрона с 16 нейронами в скрытом слое и структура нейронной сети Кохонена с девятью выходными нейронами являются оптимальными для определения установившегося режима с минимальной гибкостью в режиме реального времени. Анализ результатов показал, что величина гибкости системы не остается постоянной в разное время суток. Искусственные нейронные сети могут быть применены при определении гибкости электроэнергетической системы в режиме реального времени.</p></abstract><trans-abstract xml:lang="en"><p>   A method for the online determination of the resilience of an electric power system using artificial neural networks having various structures is presented. A developed algorithm comprised of an artificial neural network with multiple learning paradigms is used for the rapid calculation of the adaptability index of the electric power system. A satisfactory time for obtaining results is ensured by dividing the adaptability calculation into offline and online processes. To train the neural networks, various methods were used. The multilayer perceptron was trained using the method of back-ward propagation of error, while training of the Kohonen neural network was performed based on the winner-take-all rule. Euclidean distance was used as a proximity measure between the studied vectors. An algorithm for analysing the results obtained by two types of artificial neural networks having dissimilar structures was developed in order to select their optimal structure and recommend a neural network for the real-time determination of the resilience of an electric power system. The proposed algorithm was validated on a 6-node scheme following the command script: computing the resilience of a given system, functioning in multiple modes. The criterion analysis showed that the structures of multilayer perceptron having 16 neurons in a hidden layer and Kohonen neural network having 9 output neurons represent the optimal solution for determining the steady-state mode at the minimum resilience in real-time. According to the results, the value of the resilience of the system varies over the course of a day. The possibility of using artificial neural networks for determining the resilience of electric power systems in real-time is demonstrated.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>гибкость</kwd><kwd>электроэнергетические системы</kwd><kwd>искусственные нейронные сети</kwd><kwd>онлайн</kwd><kwd>установившийся режим</kwd><kwd>управление</kwd></kwd-group><kwd-group xml:lang="en"><kwd>flexibility</kwd><kwd>electric power systems</kwd><kwd>artificial neural networks</kwd><kwd>online</kwd><kwd>steady state</kwd><kwd>control</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена в рамках проекта государственного задания (№ FWEU-2021-0001) программы фундаментальных исследований РФ на 2021–2030 гг.</funding-statement><funding-statement xml:lang="en">The research was carried out under the State Assignment Project (no. 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