Novel methodology & optimization of heat pump efficiency through stochastic finite element analysis and circular statistics

Debashis Chatterjee, Subhrajit Saha

Article ID: 8795
Vol 7, Issue 4, 2024

VIEWS - 18 (Abstract) 11 (PDF)

Abstract


This research introduces a novel framework integrating stochastic finite element analysis (FEA) with advanced circular statistical methods to optimize heat pump efficiency under material uncertainties. The proposed methodologies and optimization focus on balancing the mean efficiency and variability by adjusting the concentration parameter of the Von Mises distribution, which models directional variability in thermal conductivity. The study highlights the superiority of the Von Mises distribution in achieving more consistent and efficient thermal performance compared to the uniform distribution. We also conducted a sensitivity analysis of the parameters for further insights. The results show that optimal tuning of the concentration parameter can significantly reduce efficiency variability while maintaining a mean efficiency above the desired threshold. This demonstrates the importance of considering both stochastic effects and directional consistency in thermal systems, providing robust and reliable design strategies.


Keywords


stochastic finite element analysis (FEA); circular statistical methods; Von Mises distribution; thermal conductivity; heat pump efficiency

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References


1. Huang P, Lovati M, Zhang X, et al. Transforming a residential building cluster into electricity prosumers in sweden: Optimal design of a coupled pv-heat pump-thermal storage-electric vehicle system. Applied Energy. 2019; 255:113864.

2. Ahmed N, Assadi M, Ahmed AA, et al. Optimal design, operational controls, and data-driven machine learning in sustainable borehole heat exchanger coupled heat pumps: Key implementation challenges and advancement opportunities. Energy for Sustainable Development. 2023; 74:231–257.

3. Halilovic S, B¨ottcher F, Kramer SC, et al. Well layout optimization for groundwater heat pump systems using the adjoint approach. Energy Conversion and Management. 2022; 268:116033.

4. Li E, Zhou Z, Wang H, et al. A global sensitivity analysis assisted sequential optimization tool for plant-fin heat sink design. Engineering Computations. 2019;37(2):591–614.

5. Tancabel J, Aute V, Klein E, et al. Multi-scale and multi-physics analysis, design optimization, and experimental validation of heat exchangers utilizing high performance, non-round tubes. Applied Thermal Engineering. 2022;216:118965.

6. Zhang F, Fang M, Pan J, et al. Guide vane profile optimization of pump-turbine for grid connection performance improvement. Energy. 2023; 274:127369.

7. Mardia KV, Jupp PE. Directional statistics. John Wiley & Sons; 2000.

8. Jammalamadaka SR, SenGupta A. Topics in circular statistics.World Scientific; 2001.

9. Pejman R, Keshavarzzadeh V, Najafi AR. Hybrid topology/shape optimization under uncertainty for actively cooled nature-inspired microvascular composites. Computer Methods in Applied Mechanics and Engineering. 2021; 375:113624.

10. Chaoran W, Xiong Y, Chanjuan H. Operational strategy optimization of an existing ground source heat pump (gshp) system using an xgboost surrogate model. Energy and Buildings. 2024; 318:114444.

11. Kudela L, ˇ Spil´aˇcek M, Posp´ıˇsil J. Influence of control strategy on seasonal coefficient of performance for a heat pump with low-temperature heat storage in the geographical conditions of central europe. Energy. 2021; 234:121276.

12. Ranganayakulu C, Seetharamu KN. Compact heat exchangers: Analysis, design and optimization using fem and cfd approach. John Wiley & Sons; 2018.

13. Akbarzadeh S, Sefidgar Z, Valipour MS, et al. A comprehensive review of research and applied studies on bifunctional heat pumps supplying heating and cooling. Applied Thermal Engineering. 2024;124280.

14. Xu Z, Li H, Shao S, et al. A semi-theoretical model for energy efficiency assessment of air source heat pump systems. Energy conversion and management. 2021; 228:113667.

15. Chua KJ, Chou SK, Yang W. Advances in heat pump systems: A review. Applied energy. 2010;87(12):3611–3624.

16. Ruhnau O, Hirth L, Praktiknjo A. Time series of heat demand and heat pump efficiency for energy system modeling. Scientific data. 2019;6(1):1–10.

17. Noorollahi Y, Saeidi R, Mohammadi M, et al. The effects of ground heat exchanger parameters changes on geothermal heat pump performance–a review. Applied Thermal Engineering. 2018;129:1645–1658.

18. Casasso A, Sethi R. Efficiency of closed loop geothermal heat pumps: A sensitivity analysis. Renewable Energy. 2014; 62:737–746.

19. Chesser M, Lyons P, O’Reilly P, et al. Air source heat pump in-situ performance. Energy and Buildings. 2021; 251:111365.

20. Singh H, Muetze A, Eames PC. Factors influencing the uptake of heat pump technology by the uk domestic sector. Renewable energy. 2010;35(4):873–878.

21. Dongellini M, Naldi C, Morini GL. Seasonal performance evaluation of electric air-to-water heat pump systems. Applied Thermal Engineering. 2015;90:1072–1081.

22. Cai W, Wang F, Chen S, et al. Importance of long-term ground-loop temperature variation in performance optimization of ground source heat pump system. Applied Thermal Engineering. 2022; 204:117945.

23. Reiners T, Gross M, Altieri L, et al. Heat pump efficiency in fifth generation ultra-low temperature district heating networks using a wastewater heat source. Energy. 2021; 236:121318.

24. Willem H, Lin Y, Lekov A. Review of energy efficiency and system performance of residential heat pump water heaters.Energy and Buildings. 2017; 143:191–201.

25. Hu B, Xu S, Wang R, et al. Investigation on advanced heat pump systems with improved energy efficiency. Energy Conversion and Management. 2019; 192:161–170.

26. Gibb D, Rosenow J, Lowes R, et al. Coming in from the cold: Heat pump efficiency at low temperatures. Joule. 2023; 7(9):1939–1942.

27. Sarbu I, Sebarchievici C. General review of ground-source heat pump systems for heating and cooling of buildings. Energy and buildings. 2014; 70:441–454.

28. S´anta R, Garbai L, F¨urstner I. Optimization of heat pump system. Energy. 2015; 89:45–54.

29. Gao B, Zhu X, Yang X, et al. Operation performance test and energy efficiency analysis of ground-source heat pump systems. Journal of Building Engineering. 2021; 41:102446.

30. Saeidi R, Karimi A, Noorollahi Y. The novel designs for increasing heat transfer in ground heat exchangers to improve geothermal heat pump efficiency. Geothermics. 2024; 116:102844.

31. Cheng J, Li N, Wang K. Study of heat-source-tower heat pump system efficiency. Procedia engineering. 2015; 121:915–921.

32. Corber´an JM, Cazorla-Mar´ın A, Marchante-Avellaneda J, et al. Dual source heat pump, a high efficiency and cost-effective alternative for heating, cooling and dhw production. International Journal of Low-Carbon Technologies. 2018; 13(2):161–176.

33. Wood C, Liu H, Riffat S. Use of energy piles in a residential building, and effects on ground temperature and heat pump efficiency. G´eotechnique. 2009;59(3):287–290.

34. Eswiasi A, Mukhopadhyaya P. Critical review on efficiency of ground heat exchangers in heat pump systems. Clean Technologies. 2020;2(2):204–224.

35. De Le´on-Ruiz J, Carvajal-Mariscal I. Thermal capacity: Additional relative efficiency to assess the overall performance of heat pump-based heating systems. Applied Thermal Engineering. 2019; 159:113841.




DOI: https://doi.org/10.24294/tse8795

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