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Mathematical Thermal Modelling of a Direct-Expansion Solar-Assisted Heat Pump Using Multi-Objective Optimization Based on the Energy Demand

Author

Listed:
  • Jorge E. De León-Ruiz

    (Instituto Politécnico Nacional, ESIME, UPALM, Av. IPN s/n, CDMX 07738, Mexico)

  • Ignacio Carvajal-Mariscal

    (Instituto Politécnico Nacional, ESIME, UPALM, Av. IPN s/n, CDMX 07738, Mexico)

Abstract

An analytical model is proposed to evaluate the performance of a Direct Expansion Solar-Assisted Heat Pump under a given environmental condition. These thermal machines commonly employ uncovered flat plate solar collectors, and given this, the convection phenomenon is taken into account as well as the effect of the diffuse and reflected solar radiation in addition to the normal beam radiation absorbed by the tilted surface of the collectors. The heat pump cycle is modelled through a first law of thermodynamics approach in order to compute the heat yielded through condensation and the minimum heat required by the volume of water in the thermal storage unit. Consequently, the thermal capacity of the heat pump, the ratio at which the system yields heat to a given load of water, is calculated and discussed. The results of the model proposed are compared with the experimental data provided by three research papers with experiments conducted in different geographic coordinates and test rigs operating during diverse atmospheric conditions. A maximum relative error of 20% was obtained and furthermore, a statistical analysis of the data was conducted having found that there is no significant statistical difference between the analytical and experimental data samples within the 95% confidence interval. Finally, based on the thermal capacity, the performance of the heat pump is evaluated and a multi-objective optimization technique is implemented to obtain the best possible combination of factors to further enhance the performance of the heat pump.

Suggested Citation

  • Jorge E. De León-Ruiz & Ignacio Carvajal-Mariscal, 2018. "Mathematical Thermal Modelling of a Direct-Expansion Solar-Assisted Heat Pump Using Multi-Objective Optimization Based on the Energy Demand," Energies, MDPI, vol. 11(7), pages 1-27, July.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:7:p:1773-:d:156504
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    References listed on IDEAS

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    1. Sánta, Róbert & Garbai, László & Fürstner, Igor, 2015. "Optimization of heat pump system," Energy, Elsevier, vol. 89(C), pages 45-54.
    2. Omojaro, Peter & Breitkopf, Cornelia, 2013. "Direct expansion solar assisted heat pumps: A review of applications and recent research," Renewable and Sustainable Energy Reviews, Elsevier, vol. 22(C), pages 33-45.
    3. Khorasaninejad, Ehsan & Hajabdollahi, Hassan, 2014. "Thermo-economic and environmental optimization of solar assisted heat pump by using multi-objective particle swam algorithm," Energy, Elsevier, vol. 72(C), pages 680-690.
    4. Aziz, W. & Chaturvedi, S.K. & Kheireddine, A., 1999. "Thermodynamic analysis of two-component, two-phase flow in solar collectors with application to a direct-expansion solar-assisted heat pump," Energy, Elsevier, vol. 24(3), pages 247-259.
    5. Li, Hong & Yang, Hongxing, 2010. "Study on performance of solar assisted air source heat pump systems for hot water production in Hong Kong," Applied Energy, Elsevier, vol. 87(9), pages 2818-2825, September.
    6. Guo, J.J. & Wu, J.Y. & Wang, R.Z. & Li, S., 2011. "Experimental research and operation optimization of an air-source heat pump water heater," Applied Energy, Elsevier, vol. 88(11), pages 4128-4138.
    7. Chow, T.T. & Pei, G. & Fong, K.F. & Lin, Z. & Chan, A.L.S. & He, M., 2010. "Modeling and application of direct-expansion solar-assisted heat pump for water heating in subtropical Hong Kong," Applied Energy, Elsevier, vol. 87(2), pages 643-649, February.
    8. Li, Y.W. & Wang, R.Z. & Wu, J.Y. & Xu, Y.X., 2007. "Experimental performance analysis and optimization of a direct expansion solar-assisted heat pump water heater," Energy, Elsevier, vol. 32(8), pages 1361-1374.
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    Cited by:

    1. Binju P Raj & Chandan Swaroop Meena & Nehul Agarwal & Lohit Saini & Shabir Hussain Khahro & Umashankar Subramaniam & Aritra Ghosh, 2021. "A Review on Numerical Approach to Achieve Building Energy Efficiency for Energy, Economy and Environment (3E) Benefit," Energies, MDPI, vol. 14(15), pages 1-26, July.
    2. Jorge E. De León-Ruiz & Ignacio Carvajal-Mariscal & Antonin Ponsich, 2019. "Feasibility Analysis and Performance Evaluation and Optimization of a DXSAHP Water Heater Based on the Thermal Capacity of the System: A Case Study," Energies, MDPI, vol. 12(20), pages 1-38, October.
    3. Win Jet Luo & Kun Ying Li & Jeng Min Huang & Chong Kai Yu, 2020. "Water Heating and Operational Mode Switching Effects on the Performance of a Multifunctional Heat Pump," Energies, MDPI, vol. 13(18), pages 1-25, September.
    4. Mohammad Ehteram & Ali Najah Ahmed & Chow Ming Fai & Haitham Abdulmohsin Afan & Ahmed El-Shafie, 2019. "Accuracy Enhancement for Zone Mapping of a Solar Radiation Forecasting Based Multi-Objective Model for Better Management of the Generation of Renewable Energy," Energies, MDPI, vol. 12(14), pages 1-26, July.

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