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A new RC and g-function hybrid model to simulate vertical ground heat exchangers

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  • Maestre, Ismael Rodríguez
  • Gallero, Francisco Javier González
  • Gómez, Pascual Álvarez
  • Pérez-Lombard, Luis

Abstract

This paper presents a new hybrid two-dimensional model to simulate single U-tube ground heat exchangers based on the use of the electrical analogy to model heat transfer within the borehole and thermal response factors (short and long time-step g-functions) to estimate heat flow to the surrounding ground. Unlike other similar models, heat transfer equations are discretized only within the borehole domain, with two nodes for the fluid and two additional nodes for the grouting material, reducing the number of equations as ground temperature nodes are not considered. The substitution of ground nodes with short and long-term g-functions allows the simulation with short time steps keeping the possibility of simulating periods of several years. A complete analysis of the influence of characteristic parameters of the model in terms of the heat conduction path, vertical discretization level and equivalent heat capacity, has been carried out. The model shows a good performance for short simulation time-steps of five minutes for the prediction of both the short-term and long-term response. It has been successfully validated through comparison with a numerical computational fluid dynamic (CFD) reference model, achieving good RMSE values, which were smaller than 0.15 °C for water outlet temperature and borehole surface mean temperature.

Suggested Citation

  • Maestre, Ismael Rodríguez & Gallero, Francisco Javier González & Gómez, Pascual Álvarez & Pérez-Lombard, Luis, 2015. "A new RC and g-function hybrid model to simulate vertical ground heat exchangers," Renewable Energy, Elsevier, vol. 78(C), pages 631-642.
    • Handle: RePEc:eee:renene:v:78:y:2015:i:c:p:631-642
    DOI: 10.1016/j.renene.2015.01.045
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    References listed on IDEAS

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    Cited by:

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    2. Shuyang Tu & Xiuqin Yang & Xiang Zhou & Maohui Luo & Xu Zhang, 2019. "Experimenting and Modeling Thermal Performance of Ground Heat Exchanger Under Freezing Soil Conditions," Sustainability, MDPI, vol. 11(20), pages 1-18, October.
    3. Javadi, Hossein & Mousavi Ajarostaghi, Seyed Soheil & Rosen, Marc A. & Pourfallah, Mohsen, 2019. "Performance of ground heat exchangers: A comprehensive review of recent advances," Energy, Elsevier, vol. 178(C), pages 207-233.
    4. Biglarian, Hassan & Abbaspour, Madjid & Saidi, Mohammad Hassan, 2017. "A numerical model for transient simulation of borehole heat exchangers," Renewable Energy, Elsevier, vol. 104(C), pages 224-237.
    5. 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.
    6. Dai, L.H. & Shang, Y. & Li, X.L. & Li, S.F., 2016. "Analysis on the transient heat transfer process inside and outside the borehole for a vertical U-tube ground heat exchanger under short-term heat storage," Renewable Energy, Elsevier, vol. 87(P3), pages 1121-1129.
    7. Somogyi, Viola & Sebestyén, Viktor & Nagy, Georgina, 2017. "Scientific achievements and regulation of shallow geothermal systems in six European countries – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P2), pages 934-952.
    8. Xuedan Zhang & Tiantian Zhang & Bingxi Li & Yiqiang Jiang, 2019. "Comparison of Four Methods for Borehole Heat Exchanger Sizing Subject to Thermal Response Test Parameter Estimation," Energies, MDPI, vol. 12(21), pages 1-30, October.
    9. Dehghan B., Babak & Kukrer, Ergin, 2017. "A new 1D analytical model for investigating the long term heat transfer rate of a borehole ground heat exchanger by Green's function method," Renewable Energy, Elsevier, vol. 108(C), pages 615-621.
    10. Biglarian, Hassan & Abbaspour, Madjid & Saidi, Mohammad Hassan, 2018. "Evaluation of a transient borehole heat exchanger model in dynamic simulation of a ground source heat pump system," Energy, Elsevier, vol. 147(C), pages 81-93.

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