IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i23p6213-d451213.html
   My bibliography  Save this article

A Novel Analytical-ANN Hybrid Model for Borehole Heat Exchanger

Author

Listed:
  • Anjan Rao Puttige

    (Department of Applied Physics and Electronics, Umeå University, 90187 Umeå, Sweden)

  • Staffan Andersson

    (Department of Applied Physics and Electronics, Umeå University, 90187 Umeå, Sweden)

  • Ronny Östin

    (Department of Applied Physics and Electronics, Umeå University, 90187 Umeå, Sweden)

  • Thomas Olofsson

    (Department of Applied Physics and Electronics, Umeå University, 90187 Umeå, Sweden)

Abstract

Optimizing the operation of ground source heat pumps requires simulation of both short-term and long-term response of the borehole heat exchanger. However, the current physical and neural network based models are not suited to handle the large range of time scales, especially for large borehole fields. In this study, we present a hybrid model for long-term simulation of BHE with high resolution in time. The model uses an analytical model with low time resolution to guide an artificial neural network model with high time resolution. We trained, tuned, and tested the hybrid model using measured data from a ground source heat pump in real operation. The performance of the hybrid model is compared with an analytical model, a calibrated analytical model, and three different types of neural network models. The hybrid model has a relative RMSE of 6% for the testing period compared to 22%, 14%, and 12% respectively for the analytical model, the calibrated analytical model, and the best of the three investigated neural network models. The hybrid model also has a reasonable computational time and was also found to be robust with regard to the model parameters used by the analytical model.

Suggested Citation

  • Anjan Rao Puttige & Staffan Andersson & Ronny Östin & Thomas Olofsson, 2020. "A Novel Analytical-ANN Hybrid Model for Borehole Heat Exchanger," Energies, MDPI, vol. 13(23), pages 1-19, November.
  • Handle: RePEc:gam:jeners:v:13:y:2020:i:23:p:6213-:d:451213
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/23/6213/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/13/23/6213/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gang, Wenjie & Wang, Jinbo, 2013. "Predictive ANN models of ground heat exchanger for the control of hybrid ground source heat pump systems," Applied Energy, Elsevier, vol. 112(C), pages 1146-1153.
    2. Spitler, Jeffrey D. & Javed, Saqib & Ramstad, Randi Kalskin, 2016. "Natural convection in groundwater-filled boreholes used as ground heat exchangers," Applied Energy, Elsevier, vol. 164(C), pages 352-365.
    3. 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.
    4. Li, Min & Li, Ping & Chan, Vincent & Lai, Alvin C.K., 2014. "Full-scale temperature response function (G-function) for heat transfer by borehole ground heat exchangers (GHEs) from sub-hour to decades," Applied Energy, Elsevier, vol. 136(C), pages 197-205.
    5. Zhang, Changxing & Wang, Yusheng & Liu, Yufeng & Kong, Xiangqiang & Wang, Qing, 2018. "Computational methods for ground thermal response of multiple borehole heat exchangers: A review," Renewable Energy, Elsevier, vol. 127(C), pages 461-473.
    6. 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.
    7. 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.
    8. Yanjun Zhang & Ling Zhou & Zhongjun Hu & Ziwang Yu & Shuren Hao & Zhihong Lei & Yangyang Xie, 2018. "Prediction of Layered Thermal Conductivity Using Artificial Neural Network in Order to Have Better Design of Ground Source Heat Pump System," Energies, MDPI, vol. 11(7), pages 1-25, July.
    9. Lamarche, Louis, 2013. "Short-term behavior of classical analytic solutions for the design of ground-source heat pumps," Renewable Energy, Elsevier, vol. 57(C), pages 171-180.
    10. Lund, Henrik & Werner, Sven & Wiltshire, Robin & Svendsen, Svend & Thorsen, Jan Eric & Hvelplund, Frede & Mathiesen, Brian Vad, 2014. "4th Generation District Heating (4GDH)," Energy, Elsevier, vol. 68(C), pages 1-11.
    11. Lazzarotto, Alberto, 2014. "A network-based methodology for the simulation of borehole heat storage systems," Renewable Energy, Elsevier, vol. 62(C), pages 265-275.
    12. Mohanraj, M. & Jayaraj, S. & Muraleedharan, C., 2012. "Applications of artificial neural networks for refrigeration, air-conditioning and heat pump systems—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(2), pages 1340-1358.
    13. Witte, Henk J.L., 2013. "Error analysis of thermal response tests," Applied Energy, Elsevier, vol. 109(C), pages 302-311.
    14. 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.
    15. Johnsson, Josef & Adl-Zarrabi, Bijan, 2019. "Modelling and evaluation of groundwater filled boreholes subjected to natural convection," Applied Energy, Elsevier, vol. 253(C), pages 1-1.
    16. Wu, Wei & Wang, Baolong & You, Tian & Shi, Wenxing & Li, Xianting, 2013. "A potential solution for thermal imbalance of ground source heat pump systems in cold regions: Ground source absorption heat pump," Renewable Energy, Elsevier, vol. 59(C), pages 39-48.
    17. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Joanna Piotrowska-Woroniak, 2021. "Assessment of Ground Regeneration around Borehole Heat Exchangers between Heating Seasons in Cold Climates: A Case Study in Bialystok (NE, Poland)," Energies, MDPI, vol. 14(16), pages 1-32, August.
    2. Anjan Rao Puttige & Staffan Andersson & Ronny Östin & Thomas Olofsson, 2021. "Application of Regression and ANN Models for Heat Pumps with Field Measurements," Energies, MDPI, vol. 14(6), pages 1-26, March.
    3. Joanna Piotrowska-Woroniak, 2021. "Determination of the Selected Wells Operational Power with Borehole Heat Exchangers Operating in Real Conditions, Based on Experimental Tests," Energies, MDPI, vol. 14(9), pages 1-21, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Carotenuto, Alberto & Ciccolella, Michela & Massarotti, Nicola & Mauro, Alessandro, 2016. "Models for thermo-fluid dynamic phenomena in low enthalpy geothermal energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 330-355.
    3. Zhang, Donghai & Gao, Penghui & Zhou, Yang & Wang, Yijiang & Zhou, Guoqing, 2020. "An experimental and numerical investigation on temperature profile of underground soil in the process of heat storage," Renewable Energy, Elsevier, vol. 148(C), pages 1-21.
    4. 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.
    5. Ma, WeiWu & Li, Min & Li, Ping & Lai, Alvin C.K., 2015. "New quasi-3D model for heat transfer in U-shaped GHEs (ground heat exchangers): Effective overall thermal resistance," Energy, Elsevier, vol. 90(P1), pages 578-587.
    6. Javadi, Hossein & Mousavi Ajarostaghi, Seyed Soheil & Rosen, Marc A. & Pourfallah, Mohsen, 2019. "Performance of ground heat exchangers: A comprehensive review of recent advances," Energy, Elsevier, vol. 178(C), pages 207-233.
    7. Pasquier, Philippe & Marcotte, Denis, 2020. "Robust identification of volumetric heat capacity and analysis of thermal response tests by Bayesian inference with correlated residuals," Applied Energy, Elsevier, vol. 261(C).
    8. Lei, Fei & Hu, Pingfang & Zhu, Na & Wu, Tianhua, 2015. "Periodic heat flux composite model for borehole heat exchanger and its application," Applied Energy, Elsevier, vol. 151(C), pages 132-142.
    9. Zhang, Linfeng & Huang, Gongsheng & Zhang, Quan & Wang, Jinggang, 2018. "An hourly simulation method for the energy performance of an office building served by a ground-coupled heat pump system," Renewable Energy, Elsevier, vol. 126(C), pages 495-508.
    10. 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.
    11. Ikeda, Shintaro & Choi, Wonjun & Ooka, Ryozo, 2017. "Optimization method for multiple heat source operation including ground source heat pump considering dynamic variation in ground temperature," Applied Energy, Elsevier, vol. 193(C), pages 466-478.
    12. Noye, Sarah & Mulero Martinez, Rubén & Carnieletto, Laura & De Carli, Michele & Castelruiz Aguirre, Amaia, 2022. "A review of advanced ground source heat pump control: Artificial intelligence for autonomous and adaptive control," Renewable and Sustainable Energy Reviews, Elsevier, vol. 153(C).
    13. Pärisch, Peter & Mercker, Oliver & Oberdorfer, Phillip & Bertram, Erik & Tepe, Rainer & Rockendorf, Gunter, 2015. "Short-term experiments with borehole heat exchangers and model validation in TRNSYS," Renewable Energy, Elsevier, vol. 74(C), pages 471-477.
    14. Zhang, Changxing & Wang, Yusheng & Liu, Yufeng & Kong, Xiangqiang & Wang, Qing, 2018. "Computational methods for ground thermal response of multiple borehole heat exchangers: A review," Renewable Energy, Elsevier, vol. 127(C), pages 461-473.
    15. Shuyang Tu & Xiuqin Yang & Xiang Zhou & Maohui Luo & Xu Zhang, 2019. "Experimenting and Modeling Thermal Performance of Ground Heat Exchanger Under Freezing Soil Conditions," Sustainability, MDPI, vol. 11(20), pages 1-18, October.
    16. Aminhossein Jahanbin & Claudia Naldi & Enzo Zanchini, 2020. "Relation Between Mean Fluid Temperature and Outlet Temperature for Single U-Tube Boreholes," Energies, MDPI, vol. 13(4), pages 1-23, February.
    17. Cui, Yuanlong & Zhu, Jie & Twaha, Ssennoga & Riffat, Saffa, 2018. "A comprehensive review on 2D and 3D models of vertical ground heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 84-114.
    18. Guo, Min & Diao, Nairen & Man, Yi & Fang, Zhaohong, 2016. "Research and development of the hybrid ground-coupled heat pump technology in China," Renewable Energy, Elsevier, vol. 87(P3), pages 1033-1044.
    19. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2016. "A finite line source model with Cauchy-type top boundary conditions for simulating near surface effects on borehole heat exchangers," Energy, Elsevier, vol. 98(C), pages 50-63.
    20. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:13:y:2020:i:23:p:6213-:d:451213. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.