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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-2024-02-07</article-id><article-id custom-type="edn" pub-id-type="custom">LQRKEU</article-id><article-id custom-type="elpub" pub-id-type="custom">glonucsec-251</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>Многоточечная модель кинетики с мощностным эффектом реактивности для контроля аксиального офсета реактора ВВЭР-1200 в режиме следования за нагрузкой</article-title><trans-title-group xml:lang="en"><trans-title>Multipoint kinetics model with power reactivity defect for the axial offset  control in the VVER-1200 nuclear reactor during the load following mode  of operation</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>Инженер по подготовке персонала 1 категории учебно-методического центра "Ядерная и радиационная безопасность"Преподаватель кафедры "Электроника и автоматика физических установок"</p></bio><bio xml:lang="en"><p>First category engineer for personnel training of the Educational and Methodological Centre of Nuclear and Radiation Safety </p><p>Instructor 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 contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-3461-0476</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Якубов</surname><given-names>Я. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Yakubov</surname><given-names>Ya. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Студент 5-го курса кафедры «Электроника и автоматика физических установок» </p></bio><bio xml:lang="en"><p>5th year student of the Department of Electronics and Automatics of Physical Facilities </p></bio><email xlink:type="simple">yarik.tomsk@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0006-2492-3186</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сусакин</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Susakin</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Студент 3-го курса кафедры «Машины и аппараты химических и атомных производств»</p></bio><bio xml:lang="en"><p>3rd year student of the Department of Machinery and Apparatus of Chemical and Atomic Enterprises</p></bio><email xlink:type="simple">bvp8ee6k@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">АНО ДПО «Техническая академия Росатома»;&#13;
Северский Технологический Институт – филиал Национального Исследовательского Ядерного Университета МИФИ<country>Россия</country></aff><aff xml:lang="en">Rosatom Technical Academy&#13;
Seversk Technological Institute - a branch of the National Research Nuclear University MEPhI<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Северский Технологический Институт – филиал Национального Исследовательского Ядерного Университета МИФИ<country>Россия</country></aff><aff xml:lang="en">Seversk Technological Institute - a branch of the National Research Nuclear University MEPhI<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>27</day><month>06</month><year>2024</year></pub-date><volume>14</volume><issue>2</issue><fpage>73</fpage><lpage>90</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Правосуд С.С., Якубов Я.О., Сусакин В.А., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Правосуд С.С., Якубов Я.О., Сусакин В.А.</copyright-holder><copyright-holder xml:lang="en">Pravosud S.S., Yakubov Y.O., Susakin V.A.</copyright-holder><license 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/251">https://glonucsec.elpub.ru/jour/article/view/251</self-uri><abstract><p>В данной работе предложена и смоделирована в среде MATLAB многоточечная модель кинетики ядерного реактора ВВЭР-1200, состоящая из различной совокупности моделей точечной кинетики в аксиальном направлении – две точки, четыре, шесть, восемь и десять, которые связаны между собой коэффициентами, определенными в рамках диффузионного приближения. Для более точного описания динамических режимов работы реактора модель была охвачена мощностной обратной связью, определенной по температурным эффектам реактивности и подхода Манна для описания теплогидравлических процессов, в рамках которого предполагается, что к одному топливному узлу примыкает два узла теплоносителя. На модели, состоящей из четырех аксиальных точек, дополнительно было исследовано влияние различного числа групп запаздывающих нейтронов на точность и скорость моделирования переходных процессов в режиме следования за нагрузкой. В работе также предложена новая математическая модель органов регулирования, которая воздействует последовательно на разные точки при введении и выведении путем комбинаций функций знака sign. Результаты численного моделирования показывают, что статистическая точность предложенных моделей является удовлетворительной, общий вид переходных процессов согласуется с физическими представлениями. Данная 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 article proposes the multipoint kinetics model consisting with different number of point kinetics model (two points, four points, six points, eight points, ten points) in the axial direction for the VVER-1200 nuclear reactor. Each node is coupled with others through the coupling coefficients determined from the diffusion approach. For more precise description of the dynamical modes of the reactor operation, the proposed model integrates the power reactivity feedback derived from temperature reactivity coefficients and Mann’s thermal hydraulic model which assumes one fuel node adjacent to two coolant nodes. On the model with four axial points, additionally was tested the influence of the different number of delayed neutrons groups on the accuracy results and model running time during the load-following mode of operation. Moreover, the novel model of the control rods is introduced, utilizing a combination of sign functions to sequentially influence all nodes during insertion or withdrawal. The computational results show that the accuracy of the proposed model is 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 improvement of the automatic power controller synthesis.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>точечная кинетика</kwd><kwd>многоточечная кинетика</kwd><kwd>режим следования за нагрузкой</kwd><kwd>мощностной эффект реактивности</kwd><kwd>модель Манна</kwd><kwd>аксиальный офсет</kwd><kwd>ВВЭР-1200</kwd><kwd>верификация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>рoint kinetics</kwd><kwd>multipoint kinetics</kwd><kwd>load-following mode</kwd><kwd>Mann’s model</kwd><kwd>power reactivity &#13;
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