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Vertical ground heat exchanger parameter characterization through a compound design of experiments

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  • Extremera-Jiménez, Alejandro J.
  • Gutiérrez-Montes, Cándido
  • Casanova-Peláez, Pedro J.
  • Cruz-Peragón, Fernando

Abstract

Vertical ground heat exchangers (VGHE) are the most extended elements in geothermal utilization systems. For design and optimization purposes, the precise determination of several thermal properties is of utmost importance. While soil properties can be accurately obtained from simple mathematical models and short identification procedures, the grout characterization and additional uncertainties are usually identified from time-consuming and complex models. In order to optimize and simplify this process, without loss of accuracy, the present work proposes the use of design of experiments (DoEs) for that estimation. Thus, a multi-physic 3D model that replicates the geothermal heat exchanger (GHE) environment has been employed to develop a fractional factorial design of experiments, obtaining a set of output errors by comparison with experimental data. A response surface methodology (RSM) has been used to conduct second-order linear regression fittings, that approximate the error functions to obtain the parameter values through the minima of such surfaces. Overall mean errors lower than 0.01 °C are obtained, which provide excellent agreement in modelling the experimental test. Finally, an additional full-scale experiment has been simulated in order to validate the numerical DoE approach. Consequently, the proposed methodology has been demonstrated to accurately predict the grout thermal parameters.

Suggested Citation

  • Extremera-Jiménez, Alejandro J. & Gutiérrez-Montes, Cándido & Casanova-Peláez, Pedro J. & Cruz-Peragón, Fernando, 2022. "Vertical ground heat exchanger parameter characterization through a compound design of experiments," Renewable Energy, Elsevier, vol. 199(C), pages 1361-1371.
    • Handle: RePEc:eee:renene:v:199:y:2022:i:c:p:1361-1371
    DOI: 10.1016/j.renene.2022.09.047
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    References listed on IDEAS

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    1. 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.
    2. Pasquier, Philippe & Marcotte, Denis, 2012. "Short-term simulation of ground heat exchanger with an improved TRCM," Renewable Energy, Elsevier, vol. 46(C), pages 92-99.
    3. Zarrella, Angelo & Scarpa, Massimiliano & De Carli, Michele, 2011. "Short time step analysis of vertical ground-coupled heat exchangers: The approach of CaRM," Renewable Energy, Elsevier, vol. 36(9), pages 2357-2367.
    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. Bakirci, Kadir, 2010. "Evaluation of the performance of a ground-source heat-pump system with series GHE (ground heat exchanger) in the cold climate region," Energy, Elsevier, vol. 35(7), pages 3088-3096.
    6. Blum, Philipp & Campillo, Gisela & Kölbel, Thomas, 2011. "Techno-economic and spatial analysis of vertical ground source heat pump systems in Germany," Energy, Elsevier, vol. 36(5), pages 3002-3011.
    7. 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.
    8. 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.
    9. 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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