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A fast algorithm for the hourly simulations of ground-source heat pumps using arbitrary response factors

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  • Lamarche, Louis

Abstract

Hourly energy simulations are an important part of the design and analysis of ground-source heat pump systems. In order to evaluate the fluid temperature in the borehole of a geothermal heat pump system, most of the current models express the heat transfer rate as a sum of step changes in heat transfer rate. The borehole temperature is then computed as a superposition of the different contributions of each time step. The main difference between the different models lies in the way the step response is computed. Since all these methods are based on a convolution scheme, long time simulations are very time consuming. Many load aggregation algorithms have been proposed in order to reduce this computational time. In a previous paper we proposed a new algorithm to evaluate the overall response which was much faster than the classical aggregation schemes. However this new algorithm was based on the cylindrical source step response for a single borehole. In this paper, we present a generalization of this scheme for any kind of step response making it a very powerful tool for hourly simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:34:y:2009:i:10:p:2252-2258
    DOI: 10.1016/j.renene.2009.02.010
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    Citations

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    Cited by:

    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. Anjan Rao Puttige & Staffan Andersson & Ronny Östin & Thomas Olofsson, 2020. "A Novel Analytical-ANN Hybrid Model for Borehole Heat Exchanger," Energies, MDPI, vol. 13(23), pages 1-19, November.
    3. 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.
    4. Shibin Geng & Yong Li & Xu Han & Huiliang Lian & Hua Zhang, 2016. "Evaluation of Thermal Anomalies in Multi-Boreholes Field Considering the Effects of Groundwater Flow," Sustainability, MDPI, vol. 8(6), pages 1-19, June.
    5. Lazzarotto, Alberto & Björk, Folke, 2016. "A methodology for the calculation of response functions for geothermal fields with arbitrarily oriented boreholes – Part 2," Renewable Energy, Elsevier, vol. 86(C), pages 1353-1361.
    6. Carotenuto, Alberto & Ciccolella, Michela & Massarotti, Nicola & Mauro, Alessandro, 2016. "Models for thermo-fluid dynamic phenomena in low enthalpy geothermal energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 330-355.
    7. 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.
    8. Marcotte, D. & Pasquier, P. & Sheriff, F. & Bernier, M., 2010. "The importance of axial effects for borehole design of geothermal heat-pump systems," Renewable Energy, Elsevier, vol. 35(4), pages 763-770.
    9. Yong Li & Shibin Geng & Xu Han & Hua Zhang & Fusheng Peng, 2017. "Performance Evaluation of Borehole Heat Exchanger in Multilayered Subsurface," Sustainability, MDPI, vol. 9(3), pages 1-16, March.
    10. 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.
    11. Zhang, Changxing & Wang, Yusheng & Liu, Yufeng & Kong, Xiangqiang & Wang, Qing, 2018. "Computational methods for ground thermal response of multiple borehole heat exchangers: A review," Renewable Energy, Elsevier, vol. 127(C), pages 461-473.
    12. Beaudry, Gabrielle & Pasquier, Philippe & Marcotte, Denis & Zarrella, Angelo, 2022. "Flow rate control in standing column wells: A flexible solution for reducing the energy use and peak power demand of the built environment," Applied Energy, Elsevier, vol. 313(C).
    13. Chen, Youming & Pan, Bingbing & Zhang, Xunshui & Du, Ciyuan, 2019. "Thermal response factors for fast parameterized design and long-term performance simulation of vertical GCHP systems," Renewable Energy, Elsevier, vol. 136(C), pages 793-804.
    14. Beaudry, Gabrielle & Pasquier, Philippe & Marcotte, Denis, 2021. "A fast convolution-based method to simulate time-varying flow rates in closed-loop and standing column well ground heat exchangers," Renewable Energy, Elsevier, vol. 174(C), pages 55-72.
    15. Zhang, Linfeng & Huang, Gongsheng & Zhang, Quan & Wang, Jinggang, 2018. "An hourly simulation method for the energy performance of an office building served by a ground-coupled heat pump system," Renewable Energy, Elsevier, vol. 126(C), pages 495-508.
    16. Lazzarotto, Alberto, 2014. "A network-based methodology for the simulation of borehole heat storage systems," Renewable Energy, Elsevier, vol. 62(C), pages 265-275.
    17. Tye-Gingras, Maxime & Gosselin, Louis, 2014. "Generic ground response functions for ground exchangers in the presence of groundwater flow," Renewable Energy, Elsevier, vol. 72(C), pages 354-366.
    18. Zhang, Changxing & Song, Wei & Sun, Shicai & Peng, Donggen, 2015. "Parameter estimation of in-situ thermal response test with unstable heat rate," Energy, Elsevier, vol. 88(C), pages 497-505.
    19. Lei, Fei & Hu, Pingfang & Zhu, Na & Wu, Tianhua, 2015. "Periodic heat flux composite model for borehole heat exchanger and its application," Applied Energy, Elsevier, vol. 151(C), pages 132-142.

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