ORIGINAL RESEARCH article
Front. Built Environ.
Sec. Indoor Environment
Volume 11 - 2025 | doi: 10.3389/fbuil.2025.1624022
This article is part of the Research TopicNew Approaches for Sustainable & Resilient Processes and Products of Social Housing Development in the Arabian Gulf Countries - Vol 2View all 3 articles
Mathematical Modeling Describing the Performance of Open Loop Multivariable Vapor Compression Chiller Model: Implications for Sustainable HVAC in Social Housing Development
Provisionally accepted
- 1Independent researcher, Dubai, United Arab Emirates
- 2The British University in Dubai, Dubai, United Arab Emirates
- 3The British University in Dubai, DXB, United Arab Emirates
- 4Ajman University, Ajman, United Arab Emirates
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This study introduces a simplified multi-variable state-space model of a vapour compression chiller system, focusing on key components such as the condenser and evaporator. The model is based on a previously validated state-space framework and has been further developed to generate a transfer function matrix with two inputs (refrigerant and cold carrier flow rates) and two outputs (cooling capacity and outlet temperature). The simplified model offers an accurate yet computationally efficient representation of the system's dynamics. Simulations of the open-loop system were carried out using SIMULINK/MATLAB software. The results were plotted to validate the model's ability to predict system responses accurately. These simulations encompassed various conditions, including operational changes, fouling on the evaporator, and thermal load fluctuations. Open-loop simulation results show that the system reaches steady-state values with a response time of approximately 40 seconds for the cold carrier temperature and 70 seconds for cooling capacity.
Keywords: Air Conditioning Chiller, mathematical modelling, sustainable social housing, Multivariable model, transfer function matrix, Open-Loop Responses
Received: 07 May 2025; Accepted: 10 Jul 2025.
Copyright: © 2025 Touqan and Salameh. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Basim Touqan, Independent researcher, Dubai, United Arab Emirates
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