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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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    Cited by:

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    2. 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.
    3. Du, Yufang & Li, Min & Li, Yong & Lai, Alvin CK., 2023. "Tikhonov regularization stabilizes multi-parameter estimation of geothermal heat exchangers," Energy, Elsevier, vol. 262(PB).
    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. 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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