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

Author:

Telgozhayeva Farida1,Arici Muslum2,Kunelbayev Murat3,Tyulepberdinova Gulnur1,Spabekova Zhanara1,Berdygulova Ainagul4,Shaken Yeraly5

Affiliation:

1. Al Farabi Kazakh National University, al-Farabi Ave, 71, Almaty, 050040, KAZAKHSTAN

2. Kocaeli University, Umuttepe Campus, Izmit, 41001, TURKEY

3. Institute of Information and Computer Technologies, st. Pushkin 125, Almaty, 054000, KAZAKHSTAN

4. Almaty Kazakh Alai khan University of International Relation and World Languages, st. Muratbayeva, 200, Almaty, 050012, KAZAKHSTAN

5. Almaty Technologycal University, st. Tole bi, 100, Almaty, 050012, KAZAKHSTAN

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.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Artificial Intelligence,General Mathematics,Control and Systems Engineering

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