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Exergy-based ecological optimization of an irreversible quantum Carnot heat pump with harmonic oscillators

Author

Listed:
  • Chen, Lingen
  • Liu, Xiaowei
  • Wu, Feng
  • Xia, Shaojun
  • Feng, Huijun

Abstract

This paper studies ecological performance by taking a quantum Carnot heat pump as object. The working substance of the heat pump is harmonic oscillator. Besides heat resistance, this heat pump also has heat leakage and internal friction. This paper derives heating load, coefficient of performance and ecological function and analyse these important parameters with numerical illustrations. At high temperature limit, this paper simplifies these important parameters and deduces the optimal performance by taking ecological function as objective. Also, this paper illustrates effects of irreversibilities with help of numerical calculation. The results reveal that ecological function of the pump has maximum value. Results at high temperature limit reveal that ecological function versus COP characteristic curves are parabolic-like as when heat leakage is absent and ecological function has maximum value. Heat leakage makes characteristic curves become loop-shaped curves and leads to smaller ecological function and COP. With a constant heat leakage, maximum attained ecological function decreases as internal friction increases. Comparison between maximum points of ecological function and COP at high temperature limit reveals that ecological optimization makes COP decrease 16.8%, exergy loss rate increases about 7.20 times, but heating load and exergy output rate greatly increase about 3.18 times and 3.23 times, respectively. Comparison maximum point of ecological function and point where the value of exergy output rate is A∕τ=6.09×10−4 reveals that the second point makes COP decrease 5.21%, exergy output rate increase only 20.9% and heating load increase only 21.1%, but the exergy lose rate increases 40.7%. Taking maximum ecological function as objective makes larger improvement in COP and reduction in exergy loss rate, and the cost is smaller heating load drop.

Suggested Citation

  • Chen, Lingen & Liu, Xiaowei & Wu, Feng & Xia, Shaojun & Feng, Huijun, 2020. "Exergy-based ecological optimization of an irreversible quantum Carnot heat pump with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    • Handle: RePEc:eee:phsmap:v:537:y:2020:i:c:s0378437119314852
    DOI: 10.1016/j.physa.2019.122597
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    References listed on IDEAS

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    1. Dalkıran, Alper & Açıkkalp, Emin & Caner, Necmettin, 2016. "Analysis of a quantum irreversible Otto cycle with exergetic sustainable index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 316-326.
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    4. Qin, Xiaoyong & Chen, Lingen & Ge, Yanlin & Sun, Fengrui, 2015. "Thermodynamic modeling and performance analysis of the variable-temperature heat reservoir absorption heat pump cycle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 788-797.
    5. Ding, Ze-Min & Chen, Lin-Gen & Wang, Wen-Hua & Ge, Yan-Lin & Sun, Feng-Rui, 2015. "Exploring the operation of a microscopic energy selective electron engine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 94-108.
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    11. Zhang, Lei & Chen, Lingen & Sun, Fengrui, 2016. "Power optimization of chemically driven heat engine based on first and second order reaction kinetic theory and probability theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 221-230.
    12. Zhou, Junle & Chen, Lingen & Ding, Zemin & Sun, Fengrui, 2016. "Analysis and optimization with ecological objective function of irreversible single resonance energy selective electron heat engines," Energy, Elsevier, vol. 111(C), pages 306-312.
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    Cited by:

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    3. Ares de Parga-Regalado, A.M. & Ramírez-Moreno, M.A. & Angulo-Brown, F., 2023. "A comparative thermodynamic and thermoeconomic analysis between two ecological regimes for the Novikov energy converter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    4. Valencia-Ortega, G. & Levario-Medina, S. & Barranco-Jiménez, M.A., 2021. "Local and global stability analysis of a Curzon–Ahlborn model applied to power plants working at maximum k-efficient power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    5. Ares de Parga-Regalado, A.M. & Valencia-Ortega, G. & Barranco-Jiménez, M.A., 2023. "Thermo-economic optimization of irreversible Novikov power plant models including a proposal of dissipation cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
    6. Qi, Congzheng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2023. "Three-heat-reservoir thermal Brownian heat transformer and its performance limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
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    8. Lingen Chen & Chenqi Tang & Huijun Feng & Yanlin Ge, 2020. "Power, Efficiency, Power Density and Ecological Function Optimization for an Irreversible Modified Closed Variable-Temperature Reservoir Regenerative Brayton Cycle with One Isothermal Heating Process," Energies, MDPI, vol. 13(19), pages 1-23, October.

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