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A simplified model of energy pile for ground-source heat pump systems

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  • Lee, C.K.
  • Lam, H.N.

Abstract

A simplified three-dimensional finite difference model for a single (cylindrical energy pile) CEP was developed. The present model was first verified with an analytical solution based on the special case that the material inside and outside the CEP had the same thermal properties. For the case of different thermal properties in the various ground regions, the calculated thermal resistance of the CEP (Rep) under a constant applied load was compared with the one determined with the assumption of a steady state inside the CEP. In both situations, the differences were found to be small. The effect of the thermal properties of various regions on the performance of the CEP was investigated. It was found the material underneath the CEP had negligible impact on the CEP performance. The soil material outside the CEP had stronger effect on the fluid temperature leaving the CEP (Tf, out) while Rep depended more on the material inside the CEP. Meanwhile, Rep reached a higher value at the beginning of each load cycle. The influence became significant for intermittent loading of the CEP. Furthermore, it was found that for optimal design involving a single pipe circuit inside the CEP, all pipes should be equally-spaced and connected consecutively.

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  • Lee, C.K. & Lam, H.N., 2013. "A simplified model of energy pile for ground-source heat pump systems," Energy, Elsevier, vol. 55(C), pages 838-845.
    • Handle: RePEc:eee:energy:v:55:y:2013:i:c:p:838-845
    DOI: 10.1016/j.energy.2013.03.077
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    References listed on IDEAS

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    1. Lee, C.K., 2010. "Dynamic performance of ground-source heat pumps fitted with frequency inverters for part-load control," Applied Energy, Elsevier, vol. 87(11), pages 3507-3513, November.
    2. Cui, Ping & Li, Xin & Man, Yi & Fang, Zhaohong, 2011. "Heat transfer analysis of pile geothermal heat exchangers with spiral coils," Applied Energy, Elsevier, vol. 88(11), pages 4113-4119.
    3. Lee, C.K. & Lam, H.N., 2008. "Computer simulation of borehole ground heat exchangers for geothermal heat pump systems," Renewable Energy, Elsevier, vol. 33(6), pages 1286-1296.
    4. Li, Min & Lai, Alvin C.K., 2012. "New temperature response functions (G functions) for pile and borehole ground heat exchangers based on composite-medium line-source theory," Energy, Elsevier, vol. 38(1), pages 255-263.
    5. Li, Min & Lai, Alvin C.K., 2012. "Heat-source solutions to heat conduction in anisotropic media with application to pile and borehole ground heat exchangers," Applied Energy, Elsevier, vol. 96(C), pages 451-458.
    6. Gao, Jun & Zhang, Xu & Liu, Jun & Li, Kuishan & Yang, Jie, 2008. "Numerical and experimental assessment of thermal performance of vertical energy piles: An application," Applied Energy, Elsevier, vol. 85(10), pages 901-910, October.
    7. Lee, C.K. & Lam, H.N., 2012. "A modified multi-ground-layer model for borehole ground heat exchangers with an inhomogeneous groundwater flow," Energy, Elsevier, vol. 47(1), pages 378-387.
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    7. Nam, Yujin & Chae, Ho-Byung, 2014. "Numerical simulation for the optimum design of ground source heat pump system using building foundation as horizontal heat exchanger," Energy, Elsevier, vol. 73(C), pages 933-942.
    8. Faizal, Mohammed & Bouazza, Abdelmalek & McCartney, John S., 2022. "Thermal resistance analysis of an energy pile and adjacent soil using radial temperature gradients," Renewable Energy, Elsevier, vol. 190(C), pages 1066-1077.
    9. Maragna, Charles & Loveridge, Fleur, 2019. "A resistive-capacitive model of pile heat exchangers with an application to thermal response tests interpretation," Renewable Energy, Elsevier, vol. 138(C), pages 891-910.
    10. 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.
    11. Andrea Ferrantelli & Jevgeni Fadejev & Jarek Kurnitski, 2019. "Energy Pile Field Simulation in Large Buildings: Validation of Surface Boundary Assumptions," Energies, MDPI, vol. 12(5), pages 1-20, February.
    12. Franco, A. & Moffat, R. & Toledo, M. & Herrera, P., 2016. "Numerical sensitivity analysis of thermal response tests (TRT) in energy piles," Renewable Energy, Elsevier, vol. 86(C), pages 985-992.

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