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Application of a Model Based on Rough Set Theory (RST) for Estimating the Temperature of Brine from Vertical Ground Heat Exchangers (VGHE) Operated with a Heat Pump—A Case Study

Author

Listed:
  • Joanna Piotrowska-Woroniak

    (Heating, Ventilation and Air Conditioning Department, Bialystok University of Technology, Wiejska 45E, 15-351 Bialystok, Poland)

  • Tomasz Szul

    (Faculty of Production and Power Engineering, University of Agriculture, Balicka 116 B, 30-149 Krakow, Poland)

  • Grzegorz Woroniak

    (Heating, Ventilation and Air Conditioning Department, Bialystok University of Technology, Wiejska 45E, 15-351 Bialystok, Poland)

Abstract

This work presents the results of a study that used a model based on rough set theory (RST) to assess the brine temperature of vertical ground heat exchangers (VGHEs) to feed heat pumps (HP). The purpose of this research was to replace costly brine temperature measurements with a more efficient approach. The object of this study was a public utility building located in Poland in a temperate continental climate. The building is equipped with a heating system using a brine–water HP installation with a total capacity of 234.4 kW, where the lower heat source consists of 52 vertical ground probes with a total length of 5200 m. The research was conducted during the heating season of 2018/2019. Based on the data, the heat energy production was determined, and the efficiency of the system was assessed. To predict the brine temperature from the lower heat source, a model based on RST was applied, which allows for the analysis of general, uncertain, and imprecise data. Weather data, such as air temperature, solar radiation intensity, degree days of the heating season, and thermal energy consumption in the building, were used for the analysis. The constructed model was tested on a test dataset. This model achieved good results with a Mean Absolute Percentage Error ( MAPE ) of 12.2%, a Coefficient of Variation Root Mean Square Error ( CV RMSE ) of 14.76%, a Mean Bias Error ( MBE ) of −1.3%, and an R-squared ( R 2 ) value of 0.98, indicating its usefulness in estimating brine temperature. These studies suggest that the described method can be useful in other buildings with HP systems and may contribute to improving the efficiency and safety of these systems.

Suggested Citation

  • Joanna Piotrowska-Woroniak & Tomasz Szul & Grzegorz Woroniak, 2023. "Application of a Model Based on Rough Set Theory (RST) for Estimating the Temperature of Brine from Vertical Ground Heat Exchangers (VGHE) Operated with a Heat Pump—A Case Study," Energies, MDPI, vol. 16(20), pages 1-12, October.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:20:p:7182-:d:1264407
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    1. van Manen, Saskia M. & Wallin, Erin, 2012. "Ground temperature profiles and thermal rock properties at Wairakei, New Zealand," Renewable Energy, Elsevier, vol. 43(C), pages 313-321.
    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. Atwany, Hanin & Hamdan, Mohammad O. & Abu-Nabah, Bassam A. & Alami, Abdul Hai & Attom, Mousa, 2020. "Experimental evaluation of ground heat exchanger in UAE," Renewable Energy, Elsevier, vol. 159(C), pages 538-546.
    4. Yu, Xiaohui & Li, Hongwei & Yao, Sheng & Nielsen, Vilhjalmur & Heller, Alfred, 2020. "Development of an efficient numerical model and analysis of heat transfer performance for borehole heat exchanger," Renewable Energy, Elsevier, vol. 152(C), pages 189-197.
    5. Joanna Piotrowska-Woroniak & Tomasz Szul, 2022. "Application of a Model Based on Rough Set Theory (RST) to Estimate the Energy Efficiency of Public Buildings," Energies, MDPI, vol. 15(23), pages 1-13, November.
    6. Naicker, Selvaraj S. & Rees, Simon J., 2020. "Long-term high frequency monitoring of a large borehole heat exchanger array," Renewable Energy, Elsevier, vol. 145(C), pages 1528-1542.
    7. Shen, Junhao & Zhou, Chaohui & Luo, Yongqiang & Tian, Zhiyong & Zhang, Shicong & Fan, Jianhua & Ling, Zhang, 2023. "Comprehensive thermal performance analysis and optimization study on U-type deep borehole ground source heat pump systems based on a new analytical model," Energy, Elsevier, vol. 274(C).
    8. Cristina Sáez Blázquez & Arturo Farfán Martín & Ignacio Martín Nieto & Pedro Carrasco García & Luis Santiago Sánchez Pérez & Diego González-Aguilera, 2017. "Efficiency Analysis of the Main Components of a Vertical Closed-Loop System in a Borehole Heat Exchanger," Energies, MDPI, vol. 10(2), pages 1-15, February.
    9. Takao Katsura & Yoshitaka Sakata & Lan Ding & Katsunori Nagano, 2020. "Development of Simulation Tool for Ground Source Heat Pump Systems Influenced by Ground Surface," Energies, MDPI, vol. 13(17), pages 1-18, August.
    10. 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.
    11. Xinbo Lei & Xiuhua Zheng & Chenyang Duan & Jianhong Ye & Kang Liu, 2019. "Three-Dimensional Numerical Simulation of Geothermal Field of Buried Pipe Group Coupled with Heat and Permeable Groundwater," Energies, MDPI, vol. 12(19), pages 1-16, September.
    12. 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.
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    1. Joanna Piotrowska-Woroniak & Krzysztof Nęcka & Tomasz Szul & Stanisław Lis, 2024. "Comparative Analysis of Methods for Predicting Brine Temperature in Vertical Ground Heat Exchanger—A Case Study," Energies, MDPI, vol. 17(6), pages 1-13, March.

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