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A methodology for long-term model predictive control of hybrid geothermal systems: the shadow-cost formulation

Iago Cupeiro Figueroa, Massimo Cimmino and Lieve Helsen

Article (2020)

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Abstract

Model Predictive Control (MPC) predictive’s nature makes it attractive for controlling high-capacity structures such as thermally activated building systems (TABS). Using weather predictions in the order of days, the system is able to react in advance to changes in the building heating and cooling needs. However, this prediction horizon window may be sub-optimal when hybrid geothermal systems are used, since the ground dynamics are in the order of months and even years. This paper proposes a methodology that includes a shadow-cost in the objective function to take into account the long-term effects that appear in the borefield. The shadow-cost is computed for a given long-term horizon that is discretized over time using predictions of the building heating and cooling needs. The methodology is applied to a case with only heating and active regeneration of the ground thermal balance. Results show that the formulation with the shadow cost is able to optimally use the active regeneration, reducing the overall operational costs at the expenses of an increased computational time. The effects of the shadow cost long-term horizon and the predictions accuracy are also investigated.

Uncontrolled Keywords

hybrid geothermal systems; model predictive control; control-oriented modeling; long-term predictions; shadow cost

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
Department: Department of Mechanical Engineering
Funders: EU within the H2020-EE-2016-RIA-IA programme, Hybrid Low Grade Thermal Energy Systems-Hybrid MPC GEOTABS, InnoEnergy PhD School Programme, European Institute of Technology (EIT)
Grant number: 723649-MPC
PolyPublie URL: https://publications.polymtl.ca/9383/
Journal Title: Energies (vol. 13, no. 23)
Publisher: MDPI
DOI: 10.3390/en13236203
Official URL: https://doi.org/10.3390/en13236203
Date Deposited: 16 Aug 2023 13:21
Last Modified: 27 Sep 2024 13:02
Cite in APA 7: Cupeiro Figueroa, I., Cimmino, M., & Helsen, L. (2020). A methodology for long-term model predictive control of hybrid geothermal systems: the shadow-cost formulation. Energies, 13(23), 27 pages. https://doi.org/10.3390/en13236203

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