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Thermal response factors for fast parameterized design and long-term performance simulation of vertical GCHP systems

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  • Chen, Youming
  • Pan, Bingbing
  • Zhang, Xunshui
  • Du, Ciyuan

Abstract

Ground-coupled heat pump (GCHP) system is one of the important renewable energy systems. Vertical ground heat exchanger (GHE) is the most expensive part of GCHP systems. Fast and accurate computation of fluid and ground temperatures is desired for the long-term prediction of GCHP performance and the optimal sizing of borehole fields. In this paper, a thermal response factors, δ-function is proposed for computing fluid and ground temperatures of borehole fields. δ-function is a non-dimensional ground temperature response and an accurate analytical solution of finite line source model to a unit rectangular heat pulse. Numerical computation of δ-function is quite fast for its small integral range. The accuracy of δ-function is validated by the simulation results of g-function. The comparative computations are conducted for the hourly simulation of various long periods by combining the g- and δ-functions with both time and spectral domain methods. It is found that the combination of δ-function with fast Fourier transform (FFT) provides dramatically fast computing speed. Therefore, the computation approach of δ-function combined with FFT is the most suitable to quickly and accurately compute the fluid and ground temperatures in parameterized design and long-term simulation of vertical GHE and GCHP systems.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:136:y:2019:i:c:p:793-804
    DOI: 10.1016/j.renene.2018.12.114
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Du, Ciyuan & Chen, Youming, 2011. "An average fluid temperature to estimate borehole thermal resistance of ground heat exchanger," Renewable Energy, Elsevier, vol. 36(6), pages 1880-1885.
    4. Yang, H. & Cui, P. & Fang, Z., 2010. "Vertical-borehole ground-coupled heat pumps: A review of models and systems," Applied Energy, Elsevier, vol. 87(1), pages 16-27, January.
    5. Marcotte, D. & Pasquier, P., 2008. "On the estimation of thermal resistance in borehole thermal conductivity test," Renewable Energy, Elsevier, vol. 33(11), pages 2407-2415.
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    Cited by:

    1. Nguyen, A., 2021. "Determination of the ground source heat pump system capacity that ensures the longevity of a specified ground heat exchanger field," Renewable Energy, Elsevier, vol. 169(C), pages 799-808.
    2. 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.
    3. Moghanni, Reza & Hakkaki-Fard, Ali, 2024. "Optimizing vertical ground heat exchanger modelling through GPU-accelerated computation strategies," Renewable Energy, Elsevier, vol. 221(C).
    4. Zhang, Fangfang & Fang, Liang & Jia, Linrui & Man, Yi & Cui, Ping & Zhang, Wenke & Fang, Zhaohong, 2021. "A dimension reduction algorithm for numerical simulation of multi-borehole heat exchangers," Renewable Energy, Elsevier, vol. 179(C), pages 2235-2245.
    5. Le Minh Nhut & Waseem Raza & Youn Cheol Park, 2020. "A Parametric Study of a Solar-Assisted House Heating System with a Seasonal Underground Thermal Energy Storage Tank," Sustainability, MDPI, vol. 12(20), pages 1-19, October.

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