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Communication

Comparative Analysis of Methods for Predicting Brine Temperature in Vertical Ground Heat Exchanger—A Case Study

by
Joanna Piotrowska-Woroniak
1,*,
Krzysztof Nęcka
2,*,
Tomasz Szul
2,* and
Stanisław Lis
2
1
Heating, Ventilation and Air Conditioning Department, Bialystok University of Technology, Wiejska 45E, 15-351 Bialystok, Poland
2
Faculty of Production and Power Engineering, University of Agriculture, Balicka 116 B, 30-149 Krakow, Poland
*
Authors to whom correspondence should be addressed.
Energies 2024, 17(6), 1465; https://doi.org/10.3390/en17061465
Submission received: 13 December 2023 / Revised: 25 January 2024 / Accepted: 15 March 2024 / Published: 19 March 2024

Abstract

This research was carried out to compare selected forecasting methods, such as the following: Artificial Neural Networks (ANNs), Classification and Regression Trees (CARTs), Chi-squared Automatic Interaction Detector (CHAID), Fuzzy Logic Toolbox (FUZZY), Multivariant Adaptive Regression Splines (MARSs), Regression Trees (RTs), Rough Set Theory (RST), and Support Regression Trees (SRTs), in the context of determining the temperature of brine from vertical ground heat exchangers used by a heat pump heating system. The subject of the analysis was a public building located in Poland, in a temperate continental climate zone. The results of this study indicate that the models based on Rough Set Theory (RST) and Artificial Neural Networks (ANNs) achieved the highest accuracy in predicting brine temperature, with the choice of the preferred method depending on the input variables used for modeling. Using three independent variables (mean outdoor air temperature, month of the heating season, mean solar irradiance), Rough Set Theory (RST) was one of the best models, for which the evaluation rates were as follows: CV RMSE 21.6%, MAE 0.3 °C, MAPE 14.3%, MBE 3.1%, and R2 0.96. By including an additional variable (brine flow rate), Artificial Neural Networks (ANNs) achieved the most accurate predictions. They had the following evaluation rates: CV RMSE 4.6%, MAE 0.05 °C, MAPE 1.7%, MBE 0.4%, and R2 0.99.
Keywords: brine water heat pumps; heating system energy efficiency; brine temperature from vertical ground heat exchangers; prediction model based: ANN; CART; CHAID; FUZZY; MARS; RT; RST; SRT brine water heat pumps; heating system energy efficiency; brine temperature from vertical ground heat exchangers; prediction model based: ANN; CART; CHAID; FUZZY; MARS; RT; RST; SRT

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MDPI and ACS Style

Piotrowska-Woroniak, J.; Nęcka, K.; Szul, T.; Lis, S. Comparative Analysis of Methods for Predicting Brine Temperature in Vertical Ground Heat Exchanger—A Case Study. Energies 2024, 17, 1465. https://doi.org/10.3390/en17061465

AMA Style

Piotrowska-Woroniak J, Nęcka K, Szul T, Lis S. Comparative Analysis of Methods for Predicting Brine Temperature in Vertical Ground Heat Exchanger—A Case Study. Energies. 2024; 17(6):1465. https://doi.org/10.3390/en17061465

Chicago/Turabian Style

Piotrowska-Woroniak, Joanna, Krzysztof Nęcka, Tomasz Szul, and Stanisław Lis. 2024. "Comparative Analysis of Methods for Predicting Brine Temperature in Vertical Ground Heat Exchanger—A Case Study" Energies 17, no. 6: 1465. https://doi.org/10.3390/en17061465

APA Style

Piotrowska-Woroniak, J., Nęcka, K., Szul, T., & Lis, S. (2024). Comparative Analysis of Methods for Predicting Brine Temperature in Vertical Ground Heat Exchanger—A Case Study. Energies, 17(6), 1465. https://doi.org/10.3390/en17061465

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