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Review

Grey-Box RC Building Models for Intelligent Management of Large-Scale Energy Flexibility: From Mass Modeling to Decentralized Digital Twins

by
Leonardo A. Bisogno Bernardini
1,2,*,
Jérôme H. Kämpf
2,
Umberto Desideri
1,
Francesco Leccese
1 and
Giacomo Salvadori
1,*
1
Department of Energy, Systems, Territory and Constructions Engineering (DESTEC), University of Pisa, 56122 Pisa, Italy
2
Idiap Research Institute, Rue Marconi 19, 1920 Martigny, Switzerland
*
Authors to whom correspondence should be addressed.
Energies 2026, 19(1), 77; https://doi.org/10.3390/en19010077 (registering DOI)
Submission received: 5 November 2025 / Revised: 12 December 2025 / Accepted: 19 December 2025 / Published: 23 December 2025

Abstract

Managing complex and large-scale building facilities requires reliable, easily interpretable, and computationally efficient models. Considering the electrical-circuit analogy, lumped-parameter resistance–capacitance (RC) thermal models have emerged as both simulation surrogates and advanced tools for energy management. This review synthesizes recent uses of RC models for building energy management in large facilities and aggregates. A systematic review of the most recent international literature, based on the analysis of 70 peer-reviewed articles, led to the classification of three main areas: (i) the physics and modeling potential of RC models; (ii) the methods for automation, calibration, and scalability; and (iii) applications in model predictive control (MPC), energy flexibility, and digital twins (DTs). The results show that these models achieve an efficient balance between accuracy and simplicity, allowing for real-time deployment in embedded control systems and building-automation platforms. In complex and large-scale situations, a growing integration with machine learning (ML) techniques, semantic frameworks, and stochastic methods within virtual environments is evident. Nonetheless, challenges persist regarding the standardization of performance metrics, input data quality, and real-scale validation. This review provides essential and up-to-date guidance for developing interoperable solutions for complex building energy systems, supporting integrated management across district, urban, and community levels for the future.
Keywords: grey-box RC models; model predictive control (MPC); large-scale building facilities; digital twins grey-box RC models; model predictive control (MPC); large-scale building facilities; digital twins

Share and Cite

MDPI and ACS Style

Bisogno Bernardini, L.A.; Kämpf, J.H.; Desideri, U.; Leccese, F.; Salvadori, G. Grey-Box RC Building Models for Intelligent Management of Large-Scale Energy Flexibility: From Mass Modeling to Decentralized Digital Twins. Energies 2026, 19, 77. https://doi.org/10.3390/en19010077

AMA Style

Bisogno Bernardini LA, Kämpf JH, Desideri U, Leccese F, Salvadori G. Grey-Box RC Building Models for Intelligent Management of Large-Scale Energy Flexibility: From Mass Modeling to Decentralized Digital Twins. Energies. 2026; 19(1):77. https://doi.org/10.3390/en19010077

Chicago/Turabian Style

Bisogno Bernardini, Leonardo A., Jérôme H. Kämpf, Umberto Desideri, Francesco Leccese, and Giacomo Salvadori. 2026. "Grey-Box RC Building Models for Intelligent Management of Large-Scale Energy Flexibility: From Mass Modeling to Decentralized Digital Twins" Energies 19, no. 1: 77. https://doi.org/10.3390/en19010077

APA Style

Bisogno Bernardini, L. A., Kämpf, J. H., Desideri, U., Leccese, F., & Salvadori, G. (2026). Grey-Box RC Building Models for Intelligent Management of Large-Scale Energy Flexibility: From Mass Modeling to Decentralized Digital Twins. Energies, 19(1), 77. https://doi.org/10.3390/en19010077

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