A Mathematical Model of an Automated Control System for Heat Regulation in a Building

Q3 Mathematics

WSEAS Transactions on Systems and Control Pub Date : 2023-09-07 DOI:10.37394/23203.2023.18.23

Farida Telgozhayeva, Muslum Arici, Murat Kunelbayev, Gulnur Tyulepberdinova, Zhanara Spabekova, Ainagul Berdygulova, Yeraly Shaken

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Abstract

In this study, a mathematical model of an automated control system for heat regulation in a building was developed. A method of mathematical modeling of the centralized heating control system based on mathematical models of distributed power systems and experimental studies has been developed, which allows for determining the parameters of the coolant when the outdoor temperature changes, qualitative regulation of heat in autonomous sources, quantitative regulation in automated individual heating devices, etc. The method makes it possible to study the interaction of an automated individual heating point to increase the efficiency of the management of distributed power systems of buildings. As a result of studying the controller created by the R2 control unit, for the PI controller, the calculated heat consumption of the building imperceptibly increases from 1.08502 kJ to 1.085888 kJ when an oscillatory transient occurs, and for the I controller, the calculated heat consumption of the building remains at the same level. The level, as for the PI controller, increases slightly during the oscillatory transition from 1.08456 GJ to 1.08535 GJ.

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建筑物热调节自动控制系统的数学模型

在这项研究中，建立了一个用于建筑物热量调节的自动控制系统的数学模型。基于分布式电力系统的数学模型和实验研究，开发了一种集中供暖控制系统的数学建模方法，该方法可以确定室外温度变化时的冷却剂参数，对自主热源中的热量进行定性调节，对自动化单体供暖设备进行定量调节等。该方法使研究自动化单个加热点的相互作用成为可能，以提高建筑物分布式电力系统的管理效率。研究R2控制单元创建的控制器的结果是，对于PI控制器，当发生振荡瞬态时，建筑物的计算热耗从1.08502kJ不知不觉地增加到1.08588kJ，而对于I控制器，建筑物的估计热耗保持在相同水平。对于PI控制器，在从1.08456 GJ到1.08535 GJ的振荡过渡期间，电平略有增加。

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来源期刊

WSEAS Transactions on Systems and Control Mathematics-Control and Optimization

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： WSEAS Transactions on Systems and Control publishes original research papers relating to systems theory and automatic control. We aim to bring important work to a wide international audience and therefore only publish papers of exceptional scientific value that advance our understanding of these particular areas. The research presented must transcend the limits of case studies, while both experimental and theoretical studies are accepted. It is a multi-disciplinary journal and therefore its content mirrors the diverse interests and approaches of scholars involved with systems theory, dynamical systems, linear and non-linear control, intelligent control, robotics and related areas. We also welcome scholarly contributions from officials with government agencies, international agencies, and non-governmental organizations.