energyЭнергетика. Известия высших учебных заведений и энергетических объединений СНГENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations1029-74482414-0341BNTU10.21122/1029-7448-2021-64-6-517-524energy-2120Research ArticleТЕПЛОЭНЕРГЕТИКАНEAT POWER ENGINEERINGИсследование параметрических взаимодействий при регулировании ядерного реактора с обратной связьюStudy of Parametric Interactions in the Nuclear Reactor Control with FeedbackОпятюкВ. B.OpiatiukV. V.

Адрес для переписки: Опятюк Владислав Владимирович – Одесский национальный политехнический университет, просп. Шевченко, 1, 65044, г. Одесса, Украина. Тел.: +380 66 772-26-59 vladopat@ukr.net

Address for correspondence: Opiatiuk Vladyslav V. - Odessa National Technical University, 1, Shevchenko Ave., 65044, Odessa, Ukraine. Тel.: +380 66 772-26-59 vladopat@ukr.net

 

vladopat@ukr.netКозловИ. Л.KozlovI. L.

г. Одесса

Odessa

СкалозубовВ. И.SkalozubovV. I.

г. Одесса

Odessa

ОстапенкоИ. А.OstapenkoI. A.

г. Киев

Kyiv

Одесский национальный политехнический университетУкраинаOdessa National Technical UniversityUkraineНациональный технический университет Украины «Киевский политехнический институт имени Игоря Сикорского»УкраинаNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”Ukraine202106122021646517524Copyright © Опятюк В.B., Козлов И.Л., Скалозубов В.И., Остапенко И.А., 20212021Опятюк В.B., Козлов И.Л., Скалозубов В.И., Остапенко И.А.Opiatiuk V.V., Kozlov I.L., Skalozubov V.I., Ostapenko I.A.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://energy.bntu.by/jour/article/view/2120

Рассмотрена принципиальная теоретическая возможность регулирования ядерного энергетического реактора, находящегося под воздействием внешних периодических возмущений, в условиях изменения режимов работы. Под внешним периодическим возмущением подразумевалось изменение условий теплоотвода в сторону уменьшения. Величина изменений предварительно расcчитывалась таким образом, чтобы условия работы энергетической установки не выходили за границы зоны безопасной работы реактора. В случае приближения параметров работы к критическим теплоотвод увеличивался до момента возвращения условий работы в прежнее состояние. Изучен амплитудный частотный отклик нелинейно обостренной системы в условиях работы ядерной энергетической установки, нелинейно реагирующей на внешние периодические воздействия. Рассмотрено воздействие внешних циклических возмущений на реактор, исходно находящийся в стационарном рабочем состоянии. Проведены исследования путем численного моделирования конкуренции процессов, протекающих в ядерной энергетической установке, которые определяются временем реакции и временем релаксации системы на периодическое внешнее воздействие. Представлены расчеты зависимости времени релаксации от температуры внешнего воздействия при фиксированной частоте, времени релаксации от частоты внешнего воздействия при фиксированной температуре для систем с разным временем релаксации. Определено, что при расчете зависимости температуры системы от времени внешнего воздействия существует широкая зона возможного частотного регулирования. Для оценки поведения ядерного энергетического реактора в условиях изменения режимов работы создана принципиальная физико-математическая модель состояния реактора, находящегося под внешним гармоническим воздействием, на основе нелинейного уравнения Риккати. Внешнее гармоническое воздействие моделировалось путем изменения условий теплоподвода и теплоотвода вблизи критической точки.

This article considers the principal theoretical possibility of regulating a nuclear power reactor under changing operating modes conditions when external periodic disturbances take place in conditions of changing the operating mode. By the external periodic perturbation a downward change in the conditions of the heat sink was meant. The magnitude of the changes was preliminarily calculated in such a way that the operating conditions of the power plant did not exceed the boundaries of the safe operation zone of the reactor. In the case of approaching the operation parameters to the critical ones, the heat sink was increased until the working conditions returned to their previous state. In this work the amplitude frequency response of a non-linearly enhanced system in the nuclear power plant operating conditions when non-linearly reacting to external periodic influences has been studied. The external cyclic disturbances effect produced on the reactor that initially existed under stationary operating conditions has been considered. The research was carried out by numerical simulation of the competition between processes occurring in a nuclear power plant and determined by the system’s reaction time and relaxation time while responding to periodic external influences. Calculations of the relaxation time dependence on the fixed frequency-revealing external influence’s temperature are presented. Also, the relaxation time dependence on the frequency of external influence at a fixed temperature for systems with various relaxation periods was calculated. It is determined that when the dependence between system temperature and the external influence time is calculated, there exists a wide range of possible frequency control. To evaluate the behavior of a nuclear power reactor under conditions of operating modes changes, a fundamental physical mathematical model of the reactor’s state under external harmonic influence is presented. It is based on the nonlinear Riccati equation. The external harmonic effect was simulated by changing the heat supply and heat removal conditions near the critical point.

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The authors declare that there are no conflicts of interest present.