MATHEMATICAL MODEL OF ROOM HEATING AS A DYNAMIC TEMPERATURE CONTROL OBJECT

Authors

  • Karasayeva Aruzhan Shinbolatovna AUPET
  • Bazil Gulmira Duysenbekovna PhD, AUPET

Keywords:

room temperature, heat balance, automatic control, transfer function, mathematical model, energy saving

Abstract

This article considers the problem of creating a mathematical model of dynamic room temperature control. The work proposes to accurately simulate the process of heating a room based on heat balance equations and transfer functions. The model adapts to specific conditions and allows you to save heat energy.
The main goal of the study is to develop an effective room temperature control system. This system is designed to reduce energy consumption by maintaining the optimal temperature in accordance with the daily and seasonal operating schedule of the room.
The resulting model was able to accurately describe the change in air temperature in the room. With the help of the model, transient process curves were calculated, which coincided with the actual results within 10%. This method has been shown to be a reliable tool for automatic room temperature control.
Based on the dynamic model, it is possible to optimize the heating process of a room. This system allows not only to save thermal energy, but also to increase the level of comfort in the room. In addition, this model can serve as an effective basis for designing automated temperature control systems

Published

2025-05-05

How to Cite

Karasayeva Aruzhan Shinbolatovna, & Bazil Gulmira Duysenbekovna. (2025). MATHEMATICAL MODEL OF ROOM HEATING AS A DYNAMIC TEMPERATURE CONTROL OBJECT. Foundations and Trends in Modern Learning, (9). Retrieved from https://ojs.scipub.de/index.php/FTML/article/view/5975