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Step-wise algorithm for estimating multi-parameter of the ground and geothermal heat exchangers from thermal response tests

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  • Li, Min
  • Zhang, Liwen
  • Liu, Gang

Abstract

This paper proposes an innovative algorithm using the idea of step-wise to estimate of multiple parameters of the shallow ground and U-shaped geothermal heat exchangers. This procedure uses an infinite composite-medium line-source solution. The short-term solution not only enables testing data collected during short times (< 10 h) to be used in parameter estimation but also provides a feasible approach to estimating geometric parameters and thermal properties inside a borehole. The step-wise estimation consists of four stages: 1) determine soil thermal conductivity ks, 2) estimate the thermal conductivity of grout kb, 3) estimate the distance between centers of U-tube pipe D, the thermal diffusivities of soil and grout, as and ab, and 4) an iteration process if necessary. The outstanding feature of this step-wise algorithm is that the TRT data used in each step can be controlled separately, which can increase the accuracy of estimation because it alleviates the linear dependence among the sensitivities of parameters. It is shown that the accuracy of the estimates is ranked in descending order as follows: kb (± 1.0%), ks (± 2.0%), D (± 16.0%), as (± 20.0%) and ab (± 70.0%).

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  • Li, Min & Zhang, Liwen & Liu, Gang, 2020. "Step-wise algorithm for estimating multi-parameter of the ground and geothermal heat exchangers from thermal response tests," Renewable Energy, Elsevier, vol. 150(C), pages 435-442.
    • Handle: RePEc:eee:renene:v:150:y:2020:i:c:p:435-442
    DOI: 10.1016/j.renene.2019.12.140
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    References listed on IDEAS

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    1. 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.
    2. Spitler, Jeffrey D. & Gehlin, Signhild E.A., 2015. "Thermal response testing for ground source heat pump systems—An historical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 50(C), pages 1125-1137.
    3. Li, Min & Zhang, Liwen & Liu, Gang, 2019. "Estimation of thermal properties of soil and backfilling material from thermal response tests (TRTs) for exploiting shallow geothermal energy: Sensitivity, identifiability, and uncertainty," Renewable Energy, Elsevier, vol. 132(C), pages 1263-1270.
    4. Zhang, Changxing & Song, Wei & Liu, Yufeng & Kong, Xiangqiang & Wang, Qing, 2019. "Effect of vertical ground temperature distribution on parameter estimation of in-situ thermal response test with unstable heat rate," Renewable Energy, Elsevier, vol. 136(C), pages 264-274.
    5. Aranzabal, Nordin & Martos, Julio & Steger, Hagen & Blum, Philipp & Soret, Jesús, 2019. "Temperature measurements along a vertical borehole heat exchanger: A method comparison," Renewable Energy, Elsevier, vol. 143(C), pages 1247-1258.
    6. Roth, P. & Georgiev, A. & Busso, A. & Barraza, E., 2004. "First in situ determination of ground and borehole thermal properties in Latin America," Renewable Energy, Elsevier, vol. 29(12), pages 1947-1963.
    7. 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.
    8. Visa, Ion & Duta, Anca & Moldovan, Macedon, 2019. "Outdoor performance of a trapeze solar thermal collector for facades integration," Renewable Energy, Elsevier, vol. 137(C), pages 37-44.
    9. Bozzoli, F. & Pagliarini, G. & Rainieri, S. & Schiavi, L., 2011. "Estimation of soil and grout thermal properties through a TSPEP (two-step parameter estimation procedure) applied to TRT (thermal response test) data," Energy, Elsevier, vol. 36(2), pages 839-846.
    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. 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.
    12. Tang, Fujiao & Nowamooz, Hossein, 2019. "Sensitive analysis on the effective soil thermal conductivity of the Thermal Response Test considering various testing times, field conditions and U-pipe lengths," Renewable Energy, Elsevier, vol. 143(C), pages 1732-1743.
    13. Li, Min & Lai, Alvin C.K., 2013. "Analytical model for short-time responses of ground heat exchangers with U-shaped tubes: Model development and validation," Applied Energy, Elsevier, vol. 104(C), pages 510-516.
    14. Choi, Wonjun & Ooka, Ryozo, 2015. "Interpretation of disturbed data in thermal response tests using the infinite line source model and numerical parameter estimation method," Applied Energy, Elsevier, vol. 148(C), pages 476-488.
    15. Zhang, Changxing & Guo, Zhanjun & Liu, Yufeng & Cong, Xiaochun & Peng, Donggen, 2014. "A review on thermal response test of ground-coupled heat pump systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 40(C), pages 851-867.
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    Cited by:

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    3. Zhang, Xueping & Li, Gui & Han, Zongwei & Yang, Ziwei & Bi, Weiqiang & Li, Xiuming & Yang, Lingyan, 2023. "Study on the influence of buried pipe fault on the operation of ground source heat pump system," Renewable Energy, Elsevier, vol. 210(C), pages 12-25.
    4. Zhang, Xueping & Han, Zongwei & Meng, Xinwei & Li, Gui & Ji, Qiang & Li, Xiuming & Yang, Lingyan, 2021. "Study on high-precision identification method of ground thermal properties based on neural network model," Renewable Energy, Elsevier, vol. 163(C), pages 1838-1848.
    5. Zhang, Xueping & Han, Zongwei & Li, Gui & Li, Xiuming, 2022. "Effect of temperature measurement error on parameters estimation accuracy for thermal response tests," Renewable Energy, Elsevier, vol. 185(C), pages 230-240.
    6. Zhang, Xueping & Han, Zongwei & Ji, Qiang & Zhang, Hongzhi & Li, Xiuming, 2021. "Thermal response tests for the identification of soil thermal parameters: A review," Renewable Energy, Elsevier, vol. 173(C), pages 1123-1135.
    7. Changlong Wang & Qiang Fu & Han Fang & Jinli Lu, 2022. "Estimation of Ground Thermal Properties of Shallow Coaxial Borehole Heat Exchanger Using an Improved Parameter Estimation Method," Sustainability, MDPI, vol. 14(12), pages 1-12, June.

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