Industry 4.0
Vol. 10 (2025), Issue 3, pg(s) 95-98

TECHNOLOGICAL BASIS OF “INDUSTRY 4.0”

Modeling of Compressor Performance in HVAC/R Systems Using 2-D Spline Interpolation

  • 1 Polytechnic University of Tirana, Tirane, Faculty of Mathematical & Physical Engineering
  • 2 Polytechnic University of Tirana, Tirane, Faculty of Electrical Engineering

Abstract

This paper presents a method for predicting the performance of compressors in HVAC/R systems using 2-D quadratic spline interpolation. Compared to traditional third-order polynomial interpolation, the spline model provides smoother and more accurate approximations, especially useful when limited manufacturer data is available. Using real-world compressor data, we constructed mathematical models and evaluated their performance through key statistical indicators. Results indicate that the spline-based model yields lower RMSE values with reduced model order, improving its integration in system simulations. This study also provides a comparative analysis against a polynomial-based model developed in earlier research.

Keywords

References

  1. Underwood, C.P., "Heat Pump Modelling," in *Advances in Ground-Source Heat Pump Systems*, Woodhead Publishing, pp. 387-421, 2016.
  2. Ling-Xiao Zhao, Liang-Liang Shao, Chun-Lu Zhang, Steady-state hybrid modeling of economized screw water chillers using polynomial neural network compressor model, International Journal of Refrigeration, Volume 33, Issue 4, 2010, Pages 729-738, ISSN 0140-7007
  3. Zhao, L. X., Zhang, C. L., & Gu, B. (2009). Neural-Network- Based Polynomial Correlation of Single- and Variable-Speed Compressor Performance. HVAC&R Research, 15(2), 255–268. https://doi.org/10.1080/10789669.2009.10390836
  4. Jinghui Liu, Qinggang Li, Fazhong Wang, Lei Zhou, A new model of screw compressor for refrigeration system simulation, International Journal of Refrigeration, Volume 35, Issue 4, 2012, Pages 861-870, ISSN 0140-7007
  5. Demba Ndiaye, Michel Bernier, Dynamic model of a hermetic reciprocating compressor in on–off cycling operation (Abbreviation: Compressor dynamic model), Applied Thermal Engineering, Volume 30, Issues 8–9, 2010, Pages 792-799, ISSN 1359-4311, https://doi.org/10.1016/j.applthermaleng.2009.12.007.
  6. Bundo, J., Tola, S., & Daci, A. (2024). HVAC/R Systems Modelling: Assessing Mathematical Model for Gas Compressor. MMEP, 11(09), 2285–2292. https://doi.org/10.18280/mmep.110901
  7. Aprea, C., Renno, C., "Experimental analysis of a thermodynamic model of a vapour compression refrigeration plant," *Int. J. Energy Res.*, 28(6): 537-549, 2004.
  8. Hecht, M. et al., "Multivariate interpolation on unisolvent nodes," *arXiv preprint*, arXiv:2010.10824, 2020.
  9. Daci, A., Bundo, J., "Mathematical model for calculating the equilibrium point of the refrigerant circuit," *IOP Conf. Series: Materials Science and Engineering*, 909(1): 012013, 2020.
  10. Zuo, W., & Chen, Q. (2009). Real-time or faster-than-real-time simulation of airflow in buildings. *Indoor Air*, 19(1), 33–44

Article full text

Download PDF