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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">glonucsec</journal-id><journal-title-group><journal-title xml:lang="ru">Глобальная ядерная безопасность</journal-title><trans-title-group xml:lang="en"><trans-title>Global Nuclear Safety</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2305-414X</issn><issn pub-type="epub">2499-9733</issn><publisher><publisher-name>National Research Nuclear University "MEPhI"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26583/gns-2025-01-05</article-id><article-id custom-type="edn" pub-id-type="custom">RYMTXH</article-id><article-id custom-type="elpub" pub-id-type="custom">glonucsec-304</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>ЭКСПЛУАТАЦИЯ ОБЪЕКТОВ АТОМНОЙ ОТРАСЛИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>OPERATION OF FACILITIES NUCLEAR INDUSTRY</subject></subj-group></article-categories><title-group><article-title>Многоузловая модель динамики реактора ВВЭР-1200 для синтеза системы автоматического регулирования</article-title><trans-title-group xml:lang="en"><trans-title>Multi-node model of VVER-1200 reactor dynamics for automatic control system synthesis</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3225-4748</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Правосуд</surname><given-names>С. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Pravosud</surname><given-names>S. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ведущий инженер по подготовке персонала учебно-методического центра «Ядерная и радиационная безопасность»;</p><p>старший преподаватель кафедры «Электроника и автоматика физических установок»</p></bio><bio xml:lang="en"><p>Leading  engineer for personnel training of the Educational and Methodological Centre of Nuclear and Radiation Safety;</p><p>Senior lecturer of the Department of Electronics and Automatics of Physical Facilities</p></bio><email xlink:type="simple">sspravosud@mephi.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>АНО ДПО "Техническая академия Росатома;&#13;
Северский Технологический Институт НИЯУ МИФИ</institution></aff><aff xml:lang="en"><institution>Seversk Technological Institute the branch of the National Research Nuclear University «MEPhI»</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>26</day><month>03</month><year>2025</year></pub-date><volume>15</volume><issue>1</issue><fpage>40</fpage><lpage>59</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Правосуд С.С., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Правосуд С.С.</copyright-holder><copyright-holder xml:lang="en">Pravosud S.S.</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://glonucsec.elpub.ru/jour/article/view/304">https://glonucsec.elpub.ru/jour/article/view/304</self-uri><abstract><p>В данной работе предложена и смоделирована в среде MATLAB многоточечная модель динамики ядерного реактора ВВЭР-1200, состоящая из различной совокупности моделей многоточечной кинетики, определенной в рамках подхода связанных реакторов Эйвери в аксиальном направлении. Количество рассмотренных моделей составляет от двух до двадцати. Для более точного описания динамических режимов работы реактора модель была расширена теплогидравлической моделью Манна, в рамках которой предполагается, что к одному топливному узлу примыкает два узла последовательных узла теплоносителя. Для моделирования суточных маневренных режимов были учтены пространственные ксеноновые колебания и введен параметр Axial Xenon Oscillation Index. В работе также предложена новая математическая многоузловая модель воздействия борной кислоты, полученная из модели изменения концентрации борной кислоты в геометрии канала. Данная модель связана с моделью теплогидравлических процессов через массовый расход теплоносителя. Результаты численного моделирования в двух экспериментах: при изменении положения 12 группы органов регулирования системы управления и защиты, а также концентрации жидкого поглотителя в теплоносителе первого контура показывают, что статистическая точность предложенной модели является более чем удовлетворительной в сравнении с многофункциональным тренажером, а общий вид переходных процессов согласуется с физическими представлениями. Представленная работа способствует дальнейшему развитию связанных в нейтронно-физическом смысле точечных моделей ядерного реактора для улучшения синтеза автоматического регулятора мощности.</p></abstract><trans-abstract xml:lang="en"><p>This paper presents multipoint kinetics of the VVER-1200 nuclear reactor model determined under the Avery coupled reactors formulation. Different numbers, from two to twenty, of axial nodes are modelled in MATLAB. For a more precise description of the transient’s nature, this model was extended by Mann’s thermal hydraulic model. Within the frame of Mann’s approach, one fuel node is adjacent to two coolant nodes. For daily maneuvering modes space-dependent xenon oscillations are considered and the Axial Xenon Oscillation Index is introduced. This paper also introduces the novel nodal mathematical model of the boron acid which is coupled with thermal hydraulic model by coolant mass flow rate. The computational results show that the accuracy of the proposed model is more than satisfactory, and general assumptions about transients align with their physical definitions. This research contributes to the advancement of the point-like nuclear reactor modeling for further improvement of the automatic power controller design.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>ВВЭР</kwd><kwd>динамика реактора</kwd><kwd>моделирование</kwd><kwd>MATLAB</kwd><kwd>многоузловая модель</kwd><kwd>многоточечная кинетика</kwd><kwd>режим следования за нагрузкой</kwd><kwd>модель Эйвери</kwd><kwd>модель Манна</kwd><kwd>аксиальный офсет</kwd><kwd>ксеноновые колебания</kwd><kwd>верификация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>VVER</kwd><kwd>reactor dynamics</kwd><kwd>modelling</kwd><kwd>MATLAB</kwd><kwd>multi-node model</kwd><kwd>multipoint kinetics</kwd><kwd>load-following mode</kwd><kwd>Avery’s model</kwd><kwd>Mann’s model</kwd><kwd>axial offset</kwd><kwd>xenon oscillations</kwd><kwd>verification</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">Gritsevskyi A. 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