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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">10.21285/1814-3520-2022-3-465-486</article-id><article-id custom-type="elpub" pub-id-type="custom">ipolytech-629</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>Исследование функционирования алгоритма синтетической инерции в электроэнергетических системах разной плотности</article-title><trans-title-group xml:lang="en"><trans-title>Operation of synthetic inertia units in electric power systems of various densities</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6181-2497</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рудник</surname><given-names>В. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Rudnik</surname><given-names>V. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рудник Владимир Евгеньевич, инженер-исследователь научно-исследовательской Лаборатории моделирования электроэнергетических систем</p><p>634050, г. Томск, пр. Ленина, 30, Россия</p></bio><bio xml:lang="en"><p>Vladimir E. Rudnik, Research Engineer of the Research Laboratory of Electric Power System Modeling</p><p>30, Lenin pr., Tomsk 634050, Russia</p></bio><email xlink:type="simple">ver3@tpu.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/0000-0003-3896-3921</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Суворов</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Suvorov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Суворов Алексей Александрович, кандидат технических наук, доцент Отделения электроэнергетики и электротехники</p><p>634050, г. Томск, пр. Ленина, 30, Россия</p></bio><bio xml:lang="en"><p>Aleksey A. Suvorov, Cand. Sci. (Eng.), Associate Professor of the School of Energy and Power Engineering</p><p>30, Lenin pr., Tomsk 634050, Russia</p></bio><email xlink:type="simple">suvorovaa@tpu.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/0000-0003-1396-9104</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рубан</surname><given-names>Н. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Ruban</surname><given-names>N. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рубан Николай Юрьевич, кандидат технических наук, доцент, доцент Отделения электроэнергетики и электротехники</p><p>634050, г. Томск, пр. Ленина, 30, Россия</p></bio><bio xml:lang="en"><p>Nikolai Yu. Ruban, Cand. Sci. (Eng.), Associate Professor, Associate Professor of the School of Energy and Power Engineering</p><p>30, Lenin pr., Tomsk 634050, Russia</p></bio><email xlink:type="simple">rubanny@tpu.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/0000-0002-6420-4374</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Андреев</surname><given-names>М. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Andreev</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Андреев Михаил Владимирович, кандидат технических наук, доцент, заведующий научно-исследовательской Лабораторией моделирования электроэнергетических систем</p><p>634050, г. Томск, пр. Ленина, 30, Россия</p></bio><bio xml:lang="en"><p>Mikhail V. Andreev, Cand. Sci. (Eng.), Associate Professor, Head of the Research Laboratory of Electric Power System Modeling</p><p>30, Lenin pr., Tomsk 634050, Russia</p></bio><email xlink:type="simple">andreevmv@tpu.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/0000-0001-9928-408X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бай</surname><given-names>Ю. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Bay</surname><given-names>Yu. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бай Юлий Дмитриевич, ассистент Отделения электроэнергетики и электротехники</p><p>634050, г. Томск, пр. Ленина, 30, Россия</p></bio><bio xml:lang="en"><p>Yuly D. Bay, Assistant Professor of the School of Energy and Power Engineering</p><p>30, Lenin pr., Tomsk 634050, Russia</p></bio><email xlink:type="simple">nodius@tpu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский Томский политехнический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Tomsk Polytechnic University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>08</day><month>10</month><year>2022</year></pub-date><volume>26</volume><issue>3</issue><fpage>465</fpage><lpage>486</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Рудник В.Е., Суворов А.А., Рубан Н.Ю., Андреев М.В., Бай Ю.Д., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Рудник В.Е., Суворов А.А., Рубан Н.Ю., Андреев М.В., Бай Ю.Д.</copyright-holder><copyright-holder xml:lang="en">Rudnik V.E., Suvorov A.A., Ruban N.Y., Andreev M.V., Bay Y.D.</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/629">https://ipolytech.elpub.ru/jour/article/view/629</self-uri><abstract><p>Цель – повышение эффективности функционирования фотоэлектрической установки в электрических сетях разной плотности, в частности корректная настройка алгоритма синтетической инерции и контура фазовой автоподстройки частоты. Объектом исследования является система автоматического управления фотоэлектрической станции. В исследованиях использовались методы гибридного моделирования с помощью всережимного моделирующего комплекса реального времени электроэнергетических систем. Установлено, что возможность использования алгоритма синтетической инерции и его корректная настройка являются одним из важнейших свойств фотоэлектрических установок, подключаемых к сети с помощью силового преобразователя. Показано, что для эффективной работы данного алгоритма важным является правильное определение полосы пропускания фазовой автоподстройки частоты. Функционирование контура данной фазовой автоподстройки частоты может приводить к колебаниям с различной частотой при установке фотоэлектрических установок в слабых электрических сетях (электрические сети с коэффициентом короткого замыкания менее 10 о.е.) и, соответственно, негативно сказаться на работоспособности алгоритма синтетической инерции. Также установлено, что в сильной сети с увеличением полосы пропускания блока фазовой автоподстройки частоты уменьшается величина снижения частоты сети (оптимальная полоса пропускания 50 Гц), в слабой же сети, наоборот: блок фазовой автоподстройки частоты с увеличением полосы пропускания уменьшает скорость реакции алгоритма синтетической инерции, что приводит к увеличению величины снижения частоты (оптимальная полоса пропускания 0,3 Гц). Таким образом, проведенные исследования показали, что контур фазовой автоподстройки частоты в системе управления фотоэлектрической установки позволяет влиять на функционирование алгоритма синтетической инерции, но характер этого влияния зависит от плотности электрической сети и может быть положительным или отрицательным. Полученное на тестовой энергосистеме влияние также подтверждено для энергосистемы реальной размерности.</p></abstract><trans-abstract xml:lang="en"><p>This study is aimed at improving the efficiency of photovoltaic plants operated in the electric networks of various densities by adjusting the synthetic inertia algorithm and automatic frequency control circuits. To this end, the automatic control system of a photovoltaic plant was investigated using hybrid modelling methods in an all-mode online simulation complex of electric power systems. It was shown that the stability of photovoltaic power plants could be improved through the use of synthetic inertia. According to the conducted research, effective operation of this algorithm can be ensured by a correct determination of the bandwidth of automatic frequency control. Operation of this automatic frequency control circuit can lead to the oscillations of various frequencies during the installation of photovoltaic power plants in low-current electrical networks (electrical networks with the short circuit coefficient of less than 10 a.u.) and, subsequently, negatively affect the operability of the synthetic inertia algorithm. In addition, in high-current networks with an increased bandwidth of the automatic frequency control unit, the value of the network frequency reduction decreases (optimal bandwidth of 50 Hz). Conversely, in low-current networks, the automatic frequency control unit, under an increase in the bandwidth, decreases the response rate of the synthetic inertia algorithm, which leads to an increase in the frequency reduction value (optimal bandwidth of 0.3 Hz). Thus, the conducted investigations showed that the automatic frequency control circuit in the control system of a photovoltaic power plant can be used to alter the operation of the synthetic inertia algorithm. However, the nature of this effect depends on the electrical network density and can be both positive and negative. The effect observed in the tested power system was confirmed for a real-dimension power system.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>фазовая автоподстройка частоты</kwd><kwd>синтетическая инерция</kwd><kwd>фотоэлектрическая установка</kwd><kwd>возобновляемые источники энергии</kwd><kwd>электроэнергетическая система</kwd></kwd-group><kwd-group xml:lang="en"><kwd>phase-locked loop frequency control</kwd><kwd>synthetic inertia</kwd><kwd>photovoltaic installation</kwd><kwd>renewable energy sources</kwd><kwd>electric power system</kwd></kwd-group><funding-group><funding-statement xml:lang="en">The work was supported by the Ministry of Science and Higher Education of the Russian Fed-eration within the state assignment ‘Science’ no. 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