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A successive flux estimation method for rapid g-function construction of small to large-scale ground heat exchanger

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  • Nguyen, A.
  • Pasquier, P.

Abstract

This paper presents a modification of the successive flux estimation algorithm of Pasquier and Marcotte (2013) [1] for computation of the so-called g-functions of small to large-scale ground heat exchanger fields. Fast calculation times are obtained by spectral convolution of the incremental flux signal and the borehole transfer function in an iterative scheme. An initial guess that is close to the solution and easily computable is also suggested for fast convergence. Further gains are obtained through the preprocessing of the transfer functions and the sub-sampling of the g-function. The proposed method was compared against the original successive flux estimation method, as well as two other rapid methods in the literature. Results show that the algorithm proposed in this work is by far the fastest and can generate a 40 year g-function of a large ground heat exchanger field composed of 400 randomly positioned boreholes in less than 4 s. The proposed approach is general and can manage fields composed of different number of boreholes and configurations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:165:y:2021:i:p1:p:359-368
    DOI: 10.1016/j.renene.2020.10.074
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    References listed on IDEAS

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    1. Zhang, Linfeng & Zhang, Quan & Huang, Gongsheng, 2016. "A transient quasi-3D entire time scale line source model for the fluid and ground temperature prediction of vertical ground heat exchangers (GHEs)," Applied Energy, Elsevier, vol. 170(C), pages 65-75.
    2. Fossa, Marco & Priarone, Antonella, 2019. "Constant temperature response factors for fast calculation of sparse BHE field g-functions," Renewable Energy, Elsevier, vol. 131(C), pages 1236-1246.
    3. Gao, Qing & Li, Ming & Yu, Ming & Spitler, Jeffrey D. & Yan, Y.Y., 2009. "Review of development from GSHP to UTES in China and other countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(6-7), pages 1383-1394, August.
    4. 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.
    5. 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.
    6. Claudia Naldi & Enzo Zanchini, 2019. "Full-Time-Scale Fluid-to-Ground Thermal Response of a Borefield with Uniform Fluid Temperature," Energies, MDPI, vol. 12(19), pages 1-18, September.
    7. 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.
    8. 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.
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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.

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