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Power and efficiency optimization of an irreversible quantum Carnot heat engine working with harmonic oscillators

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

Abstract

This paper takes a quantum heat engine model as research object. The heat engine works with harmonic oscillators. The engine cycle is an irreversible Carnot cycle which has four branches (two of them are isothermal branches and others are irreversible adiabatic branches). The adiabatic process is irreversible and heat leakage is also taken into account. This paper derives power and efficiency and provides numerical illustration. At high temperature limit, the optimal performance is also analysed with numerical illustrations, and influence of the irreversibility on the performance is analysed, too.

Suggested Citation

  • Chen, Lingen & Liu, Xiaowei & Ge, Yanlin & Wu, Feng & Feng, Huijun & Xia, Shaojun, 2020. "Power and efficiency optimization of an irreversible quantum Carnot heat engine working with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    • Handle: RePEc:eee:phsmap:v:550:y:2020:i:c:s0378437120300054
    DOI: 10.1016/j.physa.2020.124140
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    References listed on IDEAS

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    1. Chen, Lingen & Zhang, Lei & Xia, Shaojun & Sun, Fengrui, 2018. "Entropy generation minimization for CO2 hydrogenation to light olefins," Energy, Elsevier, vol. 147(C), pages 187-196.
    2. Ding, Ze-Min & Chen, Lin-Gen & Ge, Yan-Lin & Sun, Feng-Rui, 2016. "Performance optimization of total momentum filtering double-resonance energy selective electron heat pump," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 49-61.
    3. Yin, Yong & Chen, Lingen & Wu, Feng, 2018. "Performance of quantum Stirling heat engine with numerous copies of extreme relativistic particles confined in 1D potential well," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 58-70.
    4. 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.
    5. Ahmadi, Mohammad H. & Amin Nabakhteh, Mohammad & Ahmadi, Mohammad-Ali & Pourfayaz, Fathollah & Bidi, Mokhtar, 2017. "Investigation and optimization of performance of nano-scale Stirling refrigerator using working fluid as Maxwell–Boltzmann gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 337-350.
    6. 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.
    7. 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.
    8. Yin, Yong & Chen, Lingen & Wu, Feng & Ge, Yanlin, 2020. "Work output and thermal efficiency of an endoreversible entangled quantum Stirling engine with one dimensional isotropic Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
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    Citations

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    Cited by:

    1. Ares de Parga-Regalado, A.M. & Ramírez-Moreno, M.A., 2022. "On the analysis of an ecological regime for energy converters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    2. Yin, Yong & Chen, Lingen & Wu, Feng & Ge, Yanlin, 2020. "Work output and thermal efficiency of an endoreversible entangled quantum Stirling engine with one dimensional isotropic Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    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).
    7. 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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