OPTIMIZATION OF HVAC ENERGY CONSUMPTION UNDER UNCERTAINTY OF EXTERNAL CONDITIONS: A PROBABILISTIC MODELING APPROACH
Keywords:
HVAC systems;, energy optimization;, uncertainty modeling;, probabilistic approach;, stochastic control;, occupancy prediction;, weather variability.Abstract
Abstract: Heating, Ventilation, and Air Conditioning (HVAC) systems account for about 40% of building energy use. Their performance is strongly affected by uncertain external factors such as weather and stochastic occupancy, limiting deterministic control strategies. This study proposes a probabilistic optimization framework for HVAC management, modeling occupancy as a stochastic process and weather via probability distributions. Indoor temperature and CO₂ dynamics are described by stochastic differential equations within a constrained optimization problem. A stochastic Model Predictive Control (MPC) with Monte Carlo sampling is applied, achieving 10–15% expected energy savings and improved comfort reliability, especially in educational and office buildings.
References
Варламова Л.П & Рахимова М.М (2025) Математическое моделирование влияния микроклимата на продуктивность учащихся// Development of science Volume 3 –pp. 174-179
Варламова Л.П, Рахимова М.М (2025) Интеграция IOT-технологий в системе управления микроклиматом на основе математического моделирования, Образование и наука в XXI веке, pp. 368-377
Oldewurtel, F., et al. (2012). Use of model predictive control and weather forecasts for energy efficient building climate control. Energy and Buildings, 45, pp 15–27.
Li, X., et al. (2017). Stochastic optimization for HVAC energy management with uncertain occupancy. Energy and Buildings, 148, 220–229.
Sun, K., et al. (2022). Robust predictive control for HVAC considering weather and occupancy uncertainty. Applied Energy, 307, 118–125.
Killian, M., & Kozek, M. (2016). Ten questions concerning model predictive control for energy efficient buildings. Building and Environment, 105, 403–412.
Zhang, Z., Chong, A., Pan, Y., & Lam, K. P. (2013). A review of smart building sensing system for better indoor environment control. Energy and Buildings, 105, 88–102.
Chen, Y., Norford, L., & Samuelson, H. (2015). Modeling uncertainty in building energy simulation: A review. Energy and Buildings, 81, pp 244–258.
Shaikh, P. H., Nor, N. B. M., Nallagownden, P., Elamvazuthi, I., & Ibrahim, T. (2014). A review on optimized control systems for building energy and comfort management of smart sustainable buildings. Renewable and Sustainable Energy Reviews, 34, pp 409–429.
Zhou, X., & O’Neill, Z. (2020). A review of uncertainty analysis for building energy assessment. Energy and Buildings, 210, 109705.
Yang, S., Li, J., & Xu, P. (2021). A data-driven probabilistic approach for occupancy prediction in intelligent buildings. Applied Energy, 287, 116575.
Ma, Y., Kelman, A., Daly, A., & Borrelli, F. (2012). Predictive control for energy efficient buildings with thermal storage: Modeling, simulation, and experiments. IEEE Control Systems Magazine, 32(1), pp 44–64.
De Rosa, M., Bianco, V., Scarpa, F., & Tagliafico, L. A. (2014). Heating and cooling building energy demand evaluation; a simplified model and a modified degree days approach. Applied Energy, 128, pp 217–229.
Sun, K., Hong, T., & Taylor, J. (2020). Integrating probabilistic occupancy prediction into building energy modeling: A stochastic control framework. Applied Energy, 275, 115389.
Wang, S., & Ma, Z. (2008). Supervisory and optimal control of building HVAC systems: A review. HVAC&R Research, 14(1), pp 3–32.
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