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Unit-response function for ground heat exchanger with parallel, series or mixed borehole arrangement

Author

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  • Marcotte, D.
  • Pasquier, P.

Abstract

A novel approach is presented that allows to predict fluid temperatures entering a Ground Heat Exchanger (GHE) for parallel, series and mixed arrangements of boreholes. The method determines at each time step the heat transfer rates occurring at each borehole so as to reproduce the fluid temperature at the GHE inlet for a specific borehole arrangement. The analytical finite line source model is used to compute the borehole wall temperatures, whereas the fluid temperatures are assumed to vary linearly along the pipes. The method requires to solve a linear system of equations at a small number of time steps. The different systems of equations for each arrangement are determined. A comprehensive 3D finite element numerical model shows good agreement with the computed fluid temperatures. The proposed approach is computationally very efficient. The fluid temperature unit response function can be convolved with any desired heat load to estimate fluid temperatures at the GHE inlet for a wide variety of scenarios.

Suggested Citation

  • Marcotte, D. & Pasquier, P., 2014. "Unit-response function for ground heat exchanger with parallel, series or mixed borehole arrangement," Renewable Energy, Elsevier, vol. 68(C), pages 14-24.
    • Handle: RePEc:eee:renene:v:68:y:2014:i:c:p:14-24
    DOI: 10.1016/j.renene.2014.01.023
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    References listed on IDEAS

    as
    1. Pasquier, Philippe & Marcotte, Denis, 2012. "Short-term simulation of ground heat exchanger with an improved TRCM," Renewable Energy, Elsevier, vol. 46(C), pages 92-99.
    2. Lazzarotto, Alberto, 2014. "A network-based methodology for the simulation of borehole heat storage systems," Renewable Energy, Elsevier, vol. 62(C), pages 265-275.
    3. De Carli, Michele & Tonon, Massimo & Zarrella, Angelo & Zecchin, Roberto, 2010. "A computational capacity resistance model (CaRM) for vertical ground-coupled heat exchangers," Renewable Energy, Elsevier, vol. 35(7), pages 1537-1550.
    4. Lamarche, Louis, 2009. "A fast algorithm for the hourly simulations of ground-source heat pumps using arbitrary response factors," Renewable Energy, Elsevier, vol. 34(10), pages 2252-2258.
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    Citations

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    Cited by:

    1. Nguyen, A. & Pasquier, P., 2021. "A successive flux estimation method for rapid g-function construction of small to large-scale ground heat exchanger," Renewable Energy, Elsevier, vol. 165(P1), pages 359-368.
    2. Mahon, Harry & O'Connor, Dominic & Friedrich, Daniel & Hughes, Ben, 2022. "A review of thermal energy storage technologies for seasonal loops," Energy, Elsevier, vol. 239(PC).
    3. Li, Min & Lai, Alvin C.K., 2015. "Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): A perspective of time and space scales," Applied Energy, Elsevier, vol. 151(C), pages 178-191.
    4. Fascì, Maria Letizia & Mazzotti Pallard, Willem & Lazzarotto, Alberto & Claesson, Joachim, 2023. "Temperature of energy boreholes accounting for climate change and the built environment – A new model for its estimation," Renewable Energy, Elsevier, vol. 202(C), pages 1479-1496.
    5. Paludetto, Delphine & Lorente, Sylvie, 2016. "Modeling the heat exchanges between a datacenter and neighboring buildings through an underground loop," Renewable Energy, Elsevier, vol. 93(C), pages 502-509.
    6. Başer, Tuğçe & McCartney, John S., 2020. "Transient evaluation of a soil-borehole thermal energy storage system," Renewable Energy, Elsevier, vol. 147(P2), pages 2582-2598.
    7. Dusseault, Bernard & Pasquier, Philippe & Marcotte, Denis, 2018. "A block matrix formulation for efficient g-function construction," Renewable Energy, Elsevier, vol. 121(C), pages 249-260.
    8. Matt S. Mitchell & Jeffrey D. Spitler, 2020. "An Enhanced Vertical Ground Heat Exchanger Model for Whole-Building Energy Simulation," Energies, MDPI, vol. 13(16), pages 1-27, August.

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