kaz29Вестник Казахстанско-Британского технического университетаHerald of the Kazakh-British Technical University1998-66882959-8109Казахстанско-Британский Технический Университет10.55452/1998-6688-2025-22-3-110-122kaz29-2109Research ArticleКОМПЬЮТЕРНЫЕ НАУКИCOMPUTER SCIENCEМОДЕЛИРОВАНИЕ ДИНАМИКИ НАГРЕВА В ПОМЕЩЕНИИ С ИСПОЛЬЗОВАНИЕМ COMSOL MULTTIPHYSICSMODELING HEATING DYNAMICS IN THE ROOM USING COMSOL MULTIPHYSICShttps://orcid.org/0009-0004-2313-6952ТелгожаеваФ. С.TelgozhayevaF.

докторант

г. Алматы

PhD student

Almaty

faridats@mail.ruhttps://orcid.org/0000-0002-4322-8983ТюлепбердиноваГ. А.TyulepberdinovaG.

к.ф.-м.н.

г. Алматы

Cand.Phys-Math.Sc.

Almaty 

tyulepberdinova@mail.ruhttps://orcid.org/0000-0002-5648-4476КунелбаевМ. М.KunelbayevM.

магистр

г. Алматы

Master's degree

 Almaty 

murat7508@yandex.kzКазахский национальный университет им. аль-ФарабиКазахстанAl-Farabi Kazakh National UniversityKazakhstanКазахский национальный университет им. аль-Фараби; Институт информационных и вычислительных технологийКазахстанAl-Farabi Kazakh National University; Institute of Information and Computational TechnologiesKazakhstan202527092025223110122Copyright © Телгожаева Ф.С., Тюлепбердинова Г.А., Кунелбаев М.М., 20252025Телгожаева Ф.С., Тюлепбердинова Г.А., Кунелбаев М.М.Telgozhayeva F., Tyulepberdinova G., Kunelbayev M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnik.kbtu.edu.kz/jour/article/view/2109

В данной работе была разработана физическая модель динамики изменения температуры воздуха в помещении с учетом теплопередачи и конвекции. Система была смоделирована в COMSOL Multiphysics и протестирована в MATLAB, где было проанализировано влияние внешней температуры, площади помещения, количества секций радиатора и скорости воздушного потока. Результаты показали сильную корреляцию между температурой в помещении и внешней температурой (0,92), в то же время наблюдалась более слабая зависимость от температуры радиатора (0,2), высоты (0,1) и площади помещения (0,11). Количество секций и размер радиатора оказывают наименьшее влияние на температуру в помещении (0,07). Кроме того, начальная температура помещения не имеет существенной корреляции с конечной температурой в помещении. Корреляция, наблюдаемая при моделировании, позволила разработать передаточную функцию управляемого объекта в MATLAB/Simulink. Нелинейное реле, используемое в результирующей модели, применяется для включения и выключения радиатора с целью управления температурой в помещении. Результаты исследования могут быть использованы для создания нейронной сети для моделирования динамики изменения температуры в помещении при различных начальных условиях.

In this study, a physical model of indoor air temperature change dynamics has been developed, considering heat transfer and convection. The system was modeled in COMSOL Multiphysics and tested in MATLAB, where the influence of external temperature, room area, number of radiator sections and air flow velocity were analyzed. The results showed a strong correlation between room temperature and external temperature (0.92), while weaker dependence was observed on the temperature of a radiator (0.2), height (0.1) and area of the room (0.11). However, number of sections and size of the radiator have the least impact on the room temperature (0.07). Additionally, initial temperature of the room does not have any significant correlation with final room temperature. The correlation, observed in simulations enabled us to develop transfer function of controlled object in MATLAB/Simulink. Nonlinear relay, used in resultant model, is used to turn actuator on and off to control room temperature. The results of the study can be used to create neural network to simulate the physical behavior of the room temperature in different initial conditions.

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