Identification of Key Parameters and Construction ofEmpirical Formulas for Isentropic and Volumetric Efficiency of High-Temperature Heat Pumps Based on XGBoost-MLR Algorithm

Shuaiqi Li, Fengming Wu, Wenye Lin, Wenji Song and Ziping Feng ()
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Shuaiqi Li: Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, China
Fengming Wu: Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, China
Wenye Lin: Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, China
Wenji Song: Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, China
Ziping Feng: Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, China

Energies, 2025, vol. 18, issue 16, 1-25

Abstract: High-temperature heat pumps (HTHPs) have gradually begun to play an essential role in using heat in industry for waste heat recovery and providing higher-grade heat. The isentropic efficiency and volumetric efficiency of HTHPs are significantly affected by high-temperature operating conditions, which take the pressure ratio ( PR ) as the key parameter, with limited consideration of other factors such as temperature. Relying on the experimental data obtained from the industrial-grade HTHP system experimental platform, this work proposed an XGBoost-MLR algorithm-based method to identify the key parameters of HTHP isentropic efficiency and volumetric efficiency. High-precision ( R 2 > 0.95) prediction models were established to determine the effect of temperature variables on isentropic efficiency and volumetric efficiency. After the key parameters were identified, the empirical equation of isentropic efficiency and volumetric efficiency applicable to this operation condition were constructed. The average relative errors of the two empirical formulas were 5.95% and 5.28%, respectively. Finally, the generalizability of empirical formulas was verified using experimental data from other researchers. The isentropic empirical formula had a relative deviation of less than 10% under twin-screw compressor conditions. However, the applicability of the volumetric efficiency empirical formula was unstable in compressors of different sizes. The feasibility of the method was also discussed.

Keywords: high-temperature heat pumps; machine learning algorithms; key parameters identification; isentropic efficiency; volumetric efficiency (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2025
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