Mathematical modeling of the refrigeration system of a cider cellar

Authors

DOI:

https://doi.org/10.17979/ja-cea.2026.47.13743

Keywords:

Thermal system modeling, Industrial refrigeration systems, Thermal energy storage, Load flexibility, Demand response

Abstract

This work develops a dynamic thermal model of the refrigeration system in a cider cellar and discusses its potential as
a flexible load within a photovoltaic self-consumption scheme. The installation is represented using lumped parameters, with
uniform-temperature volumes coupled through energy balances and thermal resistances, yielding a block diagram with transfer
functions that allow the identification of time constants associated with the chilled water and the cider mass. The results show
that the thermal inertia of the system enables shifting the operation of the refrigeration unit over time scales from minutes to
hours, which opens the door to demand response strategies consistent with product preservation.

References

Incropera, F., DeWitt, D., Bergman, T., Lavine, A., 2011. Fundamentals of Heat and Mass Transfer. John Wiley & Sons.

Martínez-Calahorro, A., et al., 2020. Photovoltaic self-consumption in industrial cooling and refrigeration. Electronics 9 (12), 2204.

Oro, E., et al., 2012. Review on phase change materials (pcms) for cold termal energy storage applications. Applied Energy 99, 513–533.

Selvnes, H., et al., 2021. Review on cold thermal energy storage applied to refrigeration systems using phase change materials. Energy Reports 7, 6625–6647.

Tindemans, S. H., Strbac, G., 2021. Low-complexity decentralized algorithm for aggregate load control of thermostatic loads. IEEE Transactions on Industry Applications 57 (1), 987–998. DOI: 10.1109/TIA.2020.3034889

Venkatachalam, L., 2015. Demand response on domestic thermostatically controlled loads. Ph.D. thesis, Technical University of Denmark.

Çengel, Y. A., Ghajar, A. J., 2011. Transferencia de calor y masa: fundamentos y aplicaciones, 4th Edition. McGraw-Hill, México, D.F.

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Published

2026-09-01

Issue

Section

Modelado, Simulación y Optimización