IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v11y2018i7p1773-d156504.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/11/7/1773/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/11/7/1773/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Buker, Mahmut Sami & Riffat, Saffa B., 2016. "Solar assisted heat pump systems for low temperature water heating applications: A systematic review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 55(C), pages 399-413.
    3. Lv, Xiaolong & Yan, Gang & Yu, Jianlin, 2015. "Solar-assisted auto-cascade heat pump cycle with zeotropic mixture R32/R290 for small water heaters," Renewable Energy, Elsevier, vol. 76(C), pages 167-172.
    4. Mohamed, Elamin & Riffat, Saffa & Omer, Siddig & Zeinelabdein, Rami, 2019. "A comprehensive investigation of using mutual air and water heating in multi-functional DX-SAMHP for moderate cold climate," Renewable Energy, Elsevier, vol. 130(C), pages 582-600.
    5. Bakirci, Kadir & Ozyurt, Omer & Comakli, Kemal & Comakli, Omer, 2011. "Energy analysis of a solar-ground source heat pump system with vertical closed-loop for heating applications," Energy, Elsevier, vol. 36(5), pages 3224-3232.
    6. 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.
    7. Mohanraj, M. & Belyayev, Ye. & Jayaraj, S. & Kaltayev, A., 2018. "Research and developments on solar assisted compression heat pump systems – A comprehensive review (Part A: Modeling and modifications)," Renewable and Sustainable Energy Reviews, Elsevier, vol. 83(C), pages 90-123.
    8. Shi, Guo-Hua & Aye, Lu & Li, Dan & Du, Xian-Jun, 2019. "Recent advances in direct expansion solar assisted heat pump systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 109(C), pages 349-366.
    9. Mohanraj, M. & Belyayev, Ye. & Jayaraj, S. & Kaltayev, A., 2018. "Research and developments on solar assisted compression heat pump systems – A comprehensive review (Part-B: Applications)," Renewable and Sustainable Energy Reviews, Elsevier, vol. 83(C), pages 124-155.
    10. Yu, Xiaohui & Guo, Zhonglian & Gao, Zhi & Yang, Bin & Ma, Xiuqin & Dong, Shengming, 2023. "Thermodynamic investigation of a direct-expansion solar assisted heat pump with evacuated tube collector-evaporator," Renewable Energy, Elsevier, vol. 206(C), pages 418-427.
    11. Cai, Jingyong & Zhang, Feng & Ji, Jie, 2020. "Comparative analysis of solar-air dual source heat pump system with different heat source configurations," Renewable Energy, Elsevier, vol. 150(C), pages 191-203.
    12. Wang, Zhangyuan & Guo, Peng & Zhang, Haijing & Yang, Wansheng & Mei, Sheng, 2017. "Comprehensive review on the development of SAHP for domestic hot water," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 871-881.
    13. Pitarch, Miquel & Navarro-Peris, Emilio & Gonzálvez-Maciá, José & Corberán, José M., 2017. "Evaluation of different heat pump systems for sanitary hot water production using natural refrigerants," Applied Energy, Elsevier, vol. 190(C), pages 911-919.
    14. Poppi, Stefano & Sommerfeldt, Nelson & Bales, Chris & Madani, Hatef & Lundqvist, Per, 2018. "Techno-economic review of solar heat pump systems for residential heating applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 22-32.
    15. Ibrahim, Oussama & Fardoun, Farouk & Younes, Rafic & Louahlia-Gualous, Hasna, 2014. "Air source heat pump water heater: Dynamic modeling, optimal energy management and mini-tubes condensers," Energy, Elsevier, vol. 64(C), pages 1102-1116.
    16. Wu, Jianghong & Yang, Zhaoguang & Wu, Qinghao & Zhu, Yujuan, 2012. "Transient behavior and dynamic performance of cascade heat pump water heater with thermal storage system," Applied Energy, Elsevier, vol. 91(1), pages 187-196.
    17. Yang, Seung-Hwan & Rhee, Joong Yong, 2013. "Utilization and performance evaluation of a surplus air heat pump system for greenhouse cooling and heating," Applied Energy, Elsevier, vol. 105(C), pages 244-251.
    18. Zhang, Xingxing & Shen, Jingchun & Xu, Peng & Zhao, Xudong & Xu, Ying, 2014. "Socio-economic performance of a novel solar photovoltaic/loop-heat-pipe heat pump water heating system in three different climatic regions," Applied Energy, Elsevier, vol. 135(C), pages 20-34.
    19. He, Wei & Hong, Xiaoqiang & Zhao, Xudong & Zhang, Xingxing & Shen, Jinchun & Ji, Jie, 2015. "Operational performance of a novel heat pump assisted solar façade loop-heat-pipe water heating system," Applied Energy, Elsevier, vol. 146(C), pages 371-382.
    20. Zhang, Xingxing & Zhao, Xudong & Shen, Jingchun & Xu, Jihuan & Yu, Xiaotong, 2014. "Dynamic performance of a novel solar photovoltaic/loop-heat-pipe heat pump system," Applied Energy, Elsevier, vol. 114(C), pages 335-352.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:11:y:2018:i:7:p:1773-:d:156504. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.