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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">energy</journal-id><journal-title-group><journal-title xml:lang="ru">Энергетика. Известия высших учебных заведений и энергетических объединений СНГ</journal-title><trans-title-group xml:lang="en"><trans-title>ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1029-7448</issn><issn pub-type="epub">2414-0341</issn><publisher><publisher-name>BNTU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/1029-7448-2022-65-1-5-21</article-id><article-id custom-type="elpub" pub-id-type="custom">energy-2129</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>ЭЛЕКТРОЭНЕРГЕТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRICAL POWER ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Разработка в MATLAB-Simulink искусственной нейронной сети для восстановления искаженной формы вторичного тока. Часть 2</article-title><trans-title-group xml:lang="en"><trans-title>An Artificial Neural Network Developed in MATLAB-Simulink for Reconstruction a Distorted Secondary Current Waveform. Part 2</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>Румянцев</surname><given-names>Ю. B.</given-names></name><name name-style="western" xml:lang="en"><surname>Rumiantsev</surname><given-names>Yu. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>г. Минск</p></bio><bio xml:lang="en"><p>Minsk</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>Романюк</surname><given-names>Ф. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Romaniuk</surname><given-names>F. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Адрес для переписки:Романюк Федор Алексеевич – Белорусский национальный технический университет просп. Независимости, 65/2, 220013, г. Минск, Республика БеларусьТел.: +375 17 331-00-51faromanuk@bntu.by</p></bio><bio xml:lang="en"><p>Address for correspondence:Romaniuk Fiodar A. -Belаrusian National Technical University 65/2, Nezavisimosty Ave., 220013, Minsk, Republic of Belarus Tel.: +375 17 331-00-51 faromanuk@bntu.by</p></bio><email xlink:type="simple">faromanuk@bntu.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский национальный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian National Technical University</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>02</day><month>02</month><year>2022</year></pub-date><volume>65</volume><issue>1</issue><fpage>5</fpage><lpage>21</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Румянцев Ю.B., Романюк Ф.А., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Румянцев Ю.B., Романюк Ф.А.</copyright-holder><copyright-holder xml:lang="en">Rumiantsev Y.V., Romaniuk F.A.</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://energy.bntu.by/jour/article/view/2129">https://energy.bntu.by/jour/article/view/2129</self-uri><abstract><p>Искусственные нейронные сети все чаще используются в различных отраслях электроэнергетики, в том числе в релейной защите. Традиционные микропроцессорные устройства релейной защиты функционируют по принципу вычисления действующих значений контролируемых сигналов тока и напряжения и сравнения их с заранее заданными уставками. Однако вычисляемые действующие величины не всегда отражают реальные процессы, происходящие в защищаемом электрооборудовании, ввиду, например, насыщения трансформатора тока. В таком режиме вторичный ток имеет характерную искаженную форму, которая существенно отличается от идеальной (истинной). Это ведет к занижению вычисляемого релейной защитой действующего значения основной гармоники вторичного тока по сравнению с его истинной действующей величиной и приводит к затягиванию времени срабатывания или отказу функционирования устройств релейной защиты. Одно из перспективных приложений искусственной нейронной сети для целей релейной защиты – восстановление истинной формы сигнала вторичного тока трансформатора тока при его насыщении. В статье рассмотрены этапы реализации нейронной сети в среде MATLAB на примере ее обучения восстановлению искаженной формы вторичного тока. Выполнена проверка функционирования разработанных нейронных сетей в MATLAB-Simulink. С использованием пакета расширения SimPowerSystems реализована модель, позволяющая имитировать режим насыщения трансформатора тока, сопровождающийся искажением формы сигнала его вторичного тока, и ее последующее восстановление с помощью искусственных нейронных сетей. Полученные результаты подтвердили способность нейронных сетей практически полностью восстанавливать искаженную форму вторичного тока трансформатора тока. Применение обученных искусственных нейронных сетей в реальных устройствах релейной защиты представляется перспективным, поскольку обеспечивает повышение их быстродействия и надежности функционирования.</p></abstract><trans-abstract xml:lang="en"><p>Recently, there has been an increased interest in the use of artificial neural networks in various branches of the electric power industry including relay protection. The operation of the traditional microprocessor-based relay protection device is based on calculation the RMS values of the monitored current and voltage signals and its comparison with the predetermined thresholds. However, calculated RMS values often do not reflect the real processes occurring in the electrical equipment under protection due to, for example, current transformer saturation. In this case secondary current has a characteristic distorted waveform, which is significantly differs from its ideal (true) waveform. This causes underestimation of the calculated RMS value of the secondary current compared to its true value; also, it causes a trip time delay or even to a relay protection devices operation failure. In this regard, one of the perspective applications of the artificial neural network for the relay protection purposes is the current transformer distorted secondary current waveform restoration due to its saturation. The article describes in detail the stages of the practical implementation of the artificial neural networks in the MATLAB-Simulink environment by the example of its use to reconstruct the distorted secondary current waveform of the saturated current transformer. The functioning of the developed neural networks was verified in the MATLAB-Simulink environment; with the use of the SimPowerSystems component library a model was implemented which allow simulating the current transformer saturation, accompanied by the secondary current waveform distortion, and its further restoration using developed artificial neural networks. The obtained results confirmed the ability of the neural networks that had been developed to almost completely restore the distorted secondary current waveform. Thus, it seems promising to use pre-trained artificial neural networks in real relay protection devices, since such use will ensure the speed of real relay protection devices; their operation reliability will also increase.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>искусственная нейронная сеть</kwd><kwd>релейная защита</kwd><kwd>насыщение трансформатора тока</kwd><kwd>MATLAB-Simulink</kwd></kwd-group><kwd-group xml:lang="en"><kwd>artificial neural network</kwd><kwd>relay protection</kwd><kwd>current transformer saturation</kwd><kwd>MATLAB-Simulink</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">Румянцев, Ю. В. Разработка в MATLAB-Simulink искусственной нейронной сети для восстановления искаженной формы вторичного тока. Ч. 1 / Ю. В. Румянцев, Ф. А. Романюк // Энергетика. Изв. высш. учеб. заведений и энерг. объединений СНГ. 2021. Т. 64, № 6. 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