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A modified mathematical model of heat pump's condenser for analytical optimization

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  • Nyers, Jozsef
  • Garbai, Laszlo
  • Nyers, Arpad

Abstract

The aim of this article is to present the reason and the process of creating new modified mathematical model of heat pump plate condenser. The fundamental mathematical model is modified according to analytical optimization procedure. The adaptation is carried out by applying the procedure of elimination. The modified mathematical model include 2 governing equations instead of 6. The two governing equations contain 2 unknown dependent variables and 6 known parameters. The modified mathematical model is validated using the comparative method. The compared data are obtained by numerical simulation using fundamental and modified mathematical models. Applying both models the obtained data fully coincided. By using the new modified mathematical model and implementing the optimization process may lead to the determination of the maximum energy efficiency of hot water subsystem. The subsystem comprises a condenser, a circulation pump, a connecting pipeline and the heating units. The objective function in the optimization process is the coefficient of performance, COP, as a function of the mass flow rate of the hot water or of the circulation pump power. The paper offers the implementation of modeling the circulation pump power to achieve the maximum value of the COP.

Suggested Citation

  • Nyers, Jozsef & Garbai, Laszlo & Nyers, Arpad, 2015. "A modified mathematical model of heat pump's condenser for analytical optimization," Energy, Elsevier, vol. 80(C), pages 706-714.
    • Handle: RePEc:eee:energy:v:80:y:2015:i:c:p:706-714
    DOI: 10.1016/j.energy.2014.12.028
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    References listed on IDEAS

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    1. Moreno-Rodríguez, A. & González-Gil, A. & Izquierdo, M. & Garcia-Hernando, N., 2012. "Theoretical model and experimental validation of a direct-expansion solar assisted heat pump for domestic hot water applications," Energy, Elsevier, vol. 45(1), pages 704-715.
    2. 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.
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    Cited by:

    1. Sánta, Róbert & Garbai, László & Fürstner, Igor, 2015. "Optimization of heat pump system," Energy, Elsevier, vol. 89(C), pages 45-54.
    2. Bi, Yuehong & Chen, Jie & Miao, Zhen, 2016. "Thermodynamic optimization for dissociation process of gas hydrates," Energy, Elsevier, vol. 106(C), pages 270-276.
    3. Kajtar, Laszlo & Nyers, Jozsef & Szabo, Janos, 2015. "Dynamic thermal dimensioning of underground spaces," Energy, Elsevier, vol. 87(C), pages 361-368.

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