IDEAS home Printed from https://ideas.repec.org/a/gam/jsusta/v17y2025i12p5391-d1676692.html
   My bibliography  Save this article

A Semi-Analytical Dynamic Model for Ground Source Heat Pump Systems: Addressing Medium- to Long-Term Performance Under Ground Temperature Variations

Author

Listed:
  • Mohammad Mahmoudi Majdabadi

    (Department of Mechanical Engineering, 10th Floor, Donadeo Innovation Centre for Engineering, University of Alberta, 9211-116 Street NW, Edmonton, AB T6G 1H9, Canada)

  • Seama Koohi-Fayegh

    (Department of Mechanical Engineering, 10th Floor, Donadeo Innovation Centre for Engineering, University of Alberta, 9211-116 Street NW, Edmonton, AB T6G 1H9, Canada)

Abstract

As the demand for sustainable heating, ventilation, and air conditioning (HVAC) solutions rises, ground source heat pumps (GSHPs) offer high efficiency but are sensitive to subsurface thermal dynamics. The overall objective of this study is to evaluate the impact of ground temperature variations on GSHP performance by proposing a semi-analytical dynamic model capable of simulating medium- to long-term heat pump operations. The proposed model accounts for the interactions between the ground heat exchanger (GHE) and the heat pump. A case study using the proposed model demonstrates how ground temperature variations from external factors affect the coefficient of performance (COP) and the heating and cooling capacity of GSHP systems. For ±5 °C ground shifts, the heating capacity falls below peak demand if the subsurface temperature drops by more than 2 °C, requiring supplemental heating. Peak cooling and capacity vary by less than 1% and 3% for every unit of ground temperature change (°C), respectively. These results quantify both the resilience and limits of GSHP sustainability under realistic thermal disturbances.

Suggested Citation

  • Mohammad Mahmoudi Majdabadi & Seama Koohi-Fayegh, 2025. "A Semi-Analytical Dynamic Model for Ground Source Heat Pump Systems: Addressing Medium- to Long-Term Performance Under Ground Temperature Variations," Sustainability, MDPI, vol. 17(12), pages 1-31, June.
  • Handle: RePEc:gam:jsusta:v:17:y:2025:i:12:p:5391-:d:1676692
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2071-1050/17/12/5391/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2071-1050/17/12/5391/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Raymond, J. & Therrien, R. & Gosselin, L. & Lefebvre, R., 2011. "Numerical analysis of thermal response tests with a groundwater flow and heat transfer model," Renewable Energy, Elsevier, vol. 36(1), pages 315-324.
    2. 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.
    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. Guo, Yanhua & Wang, Ningbo & Shao, Shuangquan & Huang, Congqi & Zhang, Zhentao & Li, Xiaoqiong & Wang, Youdong, 2024. "A review on hybrid physics and data-driven modeling methods applied in air source heat pump systems for energy efficiency improvement," Renewable and Sustainable Energy Reviews, Elsevier, vol. 204(C).
    5. Zhongchao Zhao & Yong Zhang & Yanrui Zhang & Yimeng Zhou & Hao Hu, 2018. "Numerical Study on the Transient Thermal Performance of a Two-Phase Closed Thermosyphon," Energies, MDPI, vol. 11(6), pages 1-15, June.
    6. Félix Ruiz-Calvo & Carla Montagud & Antonio Cazorla-Marín & José M. Corberán, 2017. "Development and Experimental Validation of a TRNSYS Dynamic Tool for Design and Energy Optimization of Ground Source Heat Pump Systems," Energies, MDPI, vol. 10(10), pages 1-21, September.
    7. Retkowski, Waldemar & Ziefle, Gesa & Thöming, Jorg, 2015. "Evaluation of different heat extraction strategies for shallow vertical ground-source heat pump systems," Applied Energy, Elsevier, vol. 149(C), pages 259-271.
    8. Biglarian, Hassan & Abbaspour, Madjid & Saidi, Mohammad Hassan, 2018. "Evaluation of a transient borehole heat exchanger model in dynamic simulation of a ground source heat pump system," Energy, Elsevier, vol. 147(C), pages 81-93.
    9. 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.
    10. Yang, Weibo & Shi, Mingheng & Liu, Guangyuan & Chen, Zhenqian, 2009. "A two-region simulation model of vertical U-tube ground heat exchanger and its experimental verification," Applied Energy, Elsevier, vol. 86(10), pages 2005-2012, October.
    11. Xia, Lei & Ma, Zhenjun & Kokogiannakis, Georgios & Wang, Shugang & Gong, Xuemei, 2018. "A model-based optimal control strategy for ground source heat pump systems with integrated solar photovoltaic thermal collectors," Applied Energy, Elsevier, vol. 228(C), pages 1399-1412.
    12. Xia, Lei & Ma, Zhenjun & Kokogiannakis, Georgios & Wang, Zhihua & Wang, Shugang, 2018. "A model-based design optimization strategy for ground source heat pump systems with integrated photovoltaic thermal collectors," Applied Energy, Elsevier, vol. 214(C), pages 178-190.
    Full references (including those not matched with items on IDEAS)

    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. Naili, Nabiha & Kooli, Sami, 2021. "Solar-assisted ground source heat pump system operated in heating mode: A case study in Tunisia," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    2. Biglarian, Hassan & Abdollahi, Sina, 2022. "Utilization of on-grid photovoltaic panels to offset electricity consumption of a residential ground source heat pump," Energy, Elsevier, vol. 243(C).
    3. 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.
    4. Ma, Zhenjun & Xia, Lei & Gong, Xuemei & Kokogiannakis, Georgios & Wang, Shugang & Zhou, Xinlei, 2020. "Recent advances and development in optimal design and control of ground source heat pump systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 131(C).
    5. Paul Christodoulides & Christakis Christou & Georgios A. Florides, 2024. "Ground Source Heat Pumps in Buildings Revisited and Prospects," Energies, MDPI, vol. 17(13), pages 1-36, July.
    6. 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.
    7. 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.
    8. Pan, Aiqiang & McCartney, John S. & Lu, Lin & You, Tian, 2020. "A novel analytical multilayer cylindrical heat source model for vertical ground heat exchangers installed in layered ground," Energy, Elsevier, vol. 200(C).
    9. Davide Menegazzo & Giulia Lombardo & Sergio Bobbo & Michele De Carli & Laura Fedele, 2022. "State of the Art, Perspective and Obstacles of Ground-Source Heat Pump Technology in the European Building Sector: A Review," Energies, MDPI, vol. 15(7), pages 1-25, April.
    10. Ana Vieira & Maria Alberdi-Pagola & Paul Christodoulides & Saqib Javed & Fleur Loveridge & Frederic Nguyen & Francesco Cecinato & João Maranha & Georgios Florides & Iulia Prodan & Gust Van Lysebetten , 2017. "Characterisation of Ground Thermal and Thermo-Mechanical Behaviour for Shallow Geothermal Energy Applications," Energies, MDPI, vol. 10(12), pages 1-51, December.
    11. Cimmino, Massimo, 2016. "Fluid and borehole wall temperature profiles in vertical geothermal boreholes with multiple U-tubes," Renewable Energy, Elsevier, vol. 96(PA), pages 137-147.
    12. Rashidi, Saman & Esfahani, Javad Abolfazli & Karimi, Nader, 2018. "Porous materials in building energy technologies—A review of the applications, modelling and experiments," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 229-247.
    13. Jia, Jie & Lee, W.L. & Cheng, Yuanda, 2019. "Field demonstration of a first constant-temperature thermal response test with both heat injection and extraction for ground source heat pump systems," Applied Energy, Elsevier, vol. 249(C), pages 79-86.
    14. Alejandro J. Extremera-Jiménez & Pedro J. Casanova-Peláez & Charles Yousif & Fernando Cruz-Peragón, 2025. "Overcoming Uncertainties Associated with Local Thermal Response Functions in Vertical Ground Heat Exchangers," Sustainability, MDPI, vol. 17(12), pages 1-17, June.
    15. Elisa Marrasso & Carlo Roselli & Francesco Tariello, 2020. "Comparison of Two Solar PV-Driven Air Conditioning Systems with Different Tracking Modes," Energies, MDPI, vol. 13(14), pages 1-24, July.
    16. Ahmadfard, Mohammadamin & Baniasadi, Ehsan, 2025. "Borehole thermal energy storage systems: A comprehensive review using bibliometric and qualitative tools," Applied Energy, Elsevier, vol. 387(C).
    17. Choi, Hwi-Ung & Choi, Kwang-Hwan, 2023. "Numerical study on the performance of a solar-assisted heat pump coupled with a photovoltaic-thermal air heater," Energy, Elsevier, vol. 285(C).
    18. Bi, Yuehong & Lyu, Tianli & Wang, Hongyan & Sun, Ruirui & Yu, Meize, 2019. "Parameter analysis of single U-tube GHE and dynamic simulation of underground temperature field round one year for GSHP," Energy, Elsevier, vol. 174(C), pages 138-147.
    19. 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).
    20. Choi, Jung Chan & Park, Joonsang & Lee, Seung Rae, 2013. "Numerical evaluation of the effects of groundwater flow on borehole heat exchanger arrays," Renewable Energy, Elsevier, vol. 52(C), pages 230-240.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:jsusta:v:17:y:2025:i:12:p:5391-:d:1676692. 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.