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Research Article

Autoregressive neural networks with exogenous variables for indoor temperature prediction in buildings

Benoit Delcroix1( )Jérôme Le Ny2Michel Bernier1Muhammad Azam3Bingrui Qu3Jean-Simon Venne3
Polytechnique Montréal, Department of Mechanical Engineering, 2500 Chemin de Polytechnique, Montréal, QC, H3T 1J4, Canada
Polytechnique Montréal, Department of Electrical Engineering and GERAD, 2500 Chemin de Polytechnique, Montréal, QC, H3T 1J4, Canada
Smart Building Lab, BrainBox AI, Montréal, QC, Canada
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Abstract

Thermal models of buildings are helpful to forecast their energy use and to enhance the control of their mechanical systems. However, these models are building-specific and require a tedious, error-prone and time-consuming development effort relying on skilled building energy modelers. Compared to white-box and gray-box models, data-driven (black-box) models require less development time and a minimal amount of information about the building characteristics. In this paper, autoregressive neural network models are compared to gray-box and black-box linear models to simulate indoor temperatures. These models are trained, validated and compared to actual experimental data obtained for an existing commercial building in Montreal (QC, Canada) equipped with roof top units for air conditioning. Results show that neural networks mimic more accurately the thermal behavior of the building when limited information is available, compared to gray-box and black-box linear models. The gray-box model does not perform adequately due to its under-parameterized nature, while the linear models cannot capture non-linear phenomena such as radiative heat transfer and occupancy. Therefore, the neural network models outperform the alternative models in the presented application, reaching a coefficient of determination R2 up to 0.824 and a root mean square error down to 1.11 °C, including the error propagation over time for a 1-week period with a 5-minute time-step. When considering a 50-hour time horizon, the best neural networks reach a much lower root mean square error of around 0.6 °C, which is suitable for applications such as model predictive control.

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Building Simulation
Pages 165-178
Cite this article:
Delcroix B, Le Ny J, Bernier M, et al. Autoregressive neural networks with exogenous variables for indoor temperature prediction in buildings. Building Simulation, 2021, 14(1): 165-178. https://doi.org/10.1007/s12273-019-0597-2

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Received: 17 July 2019
Accepted: 18 November 2019
Published: 21 February 2020
© Tsinghua University Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020
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