Mathematical Modeling of the Combined Heat Supply System of a Solar House

Today, increasing energy efficiency in residential heating systems, saving fuel and energy resources, and improving the efficiency of using devices based on renewable energy sources is an urgent issue. The purpose of the article is to develop a mathematical model of the heat balance and conduct a th...

Full description

Bibliographic Details
Main Authors: G. N. Uzakov, V. L. Charvinski, U. Kh. Ibragimov, S. I. Khamraev, B. I. Kamolov
Format: Article
Language:Russian
Published: Belarusian National Technical University 2022-10-01
Series:Izvestiâ Vysših Učebnyh Zavedenij i Ènergetičeskih ob Edinennij SNG. Ènergetika
Subjects:
Online Access:https://energy.bntu.by/jour/article/view/2198
_version_ 1797879746685566976
author G. N. Uzakov
V. L. Charvinski
U. Kh. Ibragimov
S. I. Khamraev
B. I. Kamolov
author_facet G. N. Uzakov
V. L. Charvinski
U. Kh. Ibragimov
S. I. Khamraev
B. I. Kamolov
author_sort G. N. Uzakov
collection DOAJ
description Today, increasing energy efficiency in residential heating systems, saving fuel and energy resources, and improving the efficiency of using devices based on renewable energy sources is an urgent issue. The purpose of the article is to develop a mathematical model of the heat balance and conduct a theoretical study of one-story rural houses based on the use of solar energy in a non-stationary mode. To achieve this goal, an experimental one-story solar house with autonomous heat supply was built. The heat supply of the experimental solar house mainly uses solar energy, and when the heat supply load exceeds this load, the traditional boiler device is used. The power supply of the experimental solar house is provided by a solar panel (photovoltaic converter). A heat balance scheme for a solar house with autonomous heat supply and an electrothermal scheme of a physical model are proposed. Based on the proposed schemes, a mathematical model of heat balance and a calculation algorithm based on the heat balance equation of the dynamic state of the heat supply system of a one-story experimental solar house in a non-stationary mode have been developed. On the basis of mathematical modeling, the influence of the heat capacity of the wall structure on the temperature regime of the building was studied. On the basis of the MATLAB-Simulink program, the main temperature characteristics were built, on which the change in the temperature of the internal air of the building was analyzed depending on the ambient temperature. On the basis of the program, a modular scheme of the dynamic model was built. Based on the modular scheme, the results of the experiment on changing the air inside the solar house and the outdoor temperature are presented in the form of a graph. The mathematical model of the thermal balance of the building in dynamic mode and the obtained calculation results are recommended for use in the development of energy-efficient solar houses.
first_indexed 2024-04-10T02:52:16Z
format Article
id doaj.art-90c1380e05d14901a761a7325c624c49
institution Directory Open Access Journal
issn 1029-7448
2414-0341
language Russian
last_indexed 2024-04-10T02:52:16Z
publishDate 2022-10-01
publisher Belarusian National Technical University
record_format Article
series Izvestiâ Vysših Učebnyh Zavedenij i Ènergetičeskih ob Edinennij SNG. Ènergetika
spelling doaj.art-90c1380e05d14901a761a7325c624c492023-03-13T07:41:52ZrusBelarusian National Technical UniversityIzvestiâ Vysših Učebnyh Zavedenij i Ènergetičeskih ob Edinennij SNG. Ènergetika1029-74482414-03412022-10-0165541242110.21122/1029-7448-2023-65-5-412-4211822Mathematical Modeling of the Combined Heat Supply System of a Solar HouseG. N. Uzakov0V. L. Charvinski1U. Kh. Ibragimov2S. I. Khamraev3B. I. Kamolov4Каршинский инженерно-экономический институтБелорусский национальный технический университетКаршинский инженерно-экономический институтКаршинский инженерно-экономический институтКаршинский инженерно-экономический институтToday, increasing energy efficiency in residential heating systems, saving fuel and energy resources, and improving the efficiency of using devices based on renewable energy sources is an urgent issue. The purpose of the article is to develop a mathematical model of the heat balance and conduct a theoretical study of one-story rural houses based on the use of solar energy in a non-stationary mode. To achieve this goal, an experimental one-story solar house with autonomous heat supply was built. The heat supply of the experimental solar house mainly uses solar energy, and when the heat supply load exceeds this load, the traditional boiler device is used. The power supply of the experimental solar house is provided by a solar panel (photovoltaic converter). A heat balance scheme for a solar house with autonomous heat supply and an electrothermal scheme of a physical model are proposed. Based on the proposed schemes, a mathematical model of heat balance and a calculation algorithm based on the heat balance equation of the dynamic state of the heat supply system of a one-story experimental solar house in a non-stationary mode have been developed. On the basis of mathematical modeling, the influence of the heat capacity of the wall structure on the temperature regime of the building was studied. On the basis of the MATLAB-Simulink program, the main temperature characteristics were built, on which the change in the temperature of the internal air of the building was analyzed depending on the ambient temperature. On the basis of the program, a modular scheme of the dynamic model was built. Based on the modular scheme, the results of the experiment on changing the air inside the solar house and the outdoor temperature are presented in the form of a graph. The mathematical model of the thermal balance of the building in dynamic mode and the obtained calculation results are recommended for use in the development of energy-efficient solar houses.https://energy.bntu.by/jour/article/view/2198солнечное излучениетепловое сопротивлениетепловой балансдинамическая модельматематическое моделированиесолнечный дом
spellingShingle G. N. Uzakov
V. L. Charvinski
U. Kh. Ibragimov
S. I. Khamraev
B. I. Kamolov
Mathematical Modeling of the Combined Heat Supply System of a Solar House
Izvestiâ Vysših Učebnyh Zavedenij i Ènergetičeskih ob Edinennij SNG. Ènergetika
солнечное излучение
тепловое сопротивление
тепловой баланс
динамическая модель
математическое моделирование
солнечный дом
title Mathematical Modeling of the Combined Heat Supply System of a Solar House
title_full Mathematical Modeling of the Combined Heat Supply System of a Solar House
title_fullStr Mathematical Modeling of the Combined Heat Supply System of a Solar House
title_full_unstemmed Mathematical Modeling of the Combined Heat Supply System of a Solar House
title_short Mathematical Modeling of the Combined Heat Supply System of a Solar House
title_sort mathematical modeling of the combined heat supply system of a solar house
topic солнечное излучение
тепловое сопротивление
тепловой баланс
динамическая модель
математическое моделирование
солнечный дом
url https://energy.bntu.by/jour/article/view/2198
work_keys_str_mv AT gnuzakov mathematicalmodelingofthecombinedheatsupplysystemofasolarhouse
AT vlcharvinski mathematicalmodelingofthecombinedheatsupplysystemofasolarhouse
AT ukhibragimov mathematicalmodelingofthecombinedheatsupplysystemofasolarhouse
AT sikhamraev mathematicalmodelingofthecombinedheatsupplysystemofasolarhouse
AT bikamolov mathematicalmodelingofthecombinedheatsupplysystemofasolarhouse