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Local and global stability analysis of a Curzon–Ahlborn model applied to power plants working at maximum k-efficient power

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  • Valencia-Ortega, G.
  • Levario-Medina, S.
  • Barranco-Jiménez, M.A.

Abstract

The analysis of the effect of noisy perturbations on real heat engines working on the well-known steady-state regimes (maximum power output, maximum efficient power, etc.), has been a topic of interest within the context of Finite-Time Thermodynamics (FTT). In general, the small perturbation stability dynamics has been studied by considering some of the above-mentioned performance regimes. In this work, we intrinsically corroborate that the concepts of thermodynamic optimization and stability are not uncorrelated. On the other side, due to global stability dynamics opened an extension for the general study of thermal disturbances in endoreversible heat engines, we present a study of local and global stability analysis of a power plant model (the Curzon–Ahlborn model) operating on a generalized performance regime called k-efficient power. We also construct the Lyapunov functions to prove the global asymptotically stable behavior of this steady-state for the isothermal branches. In our study, we consider a Newtonian heat transfer law as well as the role of the k parameter in the evolution of perturbations to the heat fluxes. In general, the so-called restructured operation conditions show a better thermal stability dynamics than the original ones.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:571:y:2021:i:c:s0378437121001357
    DOI: 10.1016/j.physa.2021.125863
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    References listed on IDEAS

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    1. Curto-Risso, P.L. & Medina, A. & Calvo Hernández, A. & Guzmán-Vargas, L. & Angulo-Brown, F., 2011. "On cycle-to-cycle heat release variations in a simulated spark ignition heat engine," Applied Energy, Elsevier, vol. 88(5), pages 1557-1567, May.
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    5. 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.
    6. Ocampo-García, A. & Barranco-Jiménez, M.A. & Angulo-Brown, F., 2017. "Thermodynamic and themoeconomic optimization of isothermal endoreversible chemical engine models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 149-161.
    7. 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).
    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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    1. Valencia-Ortega, G. & Levario-Medina, S. & Angulo-Brown, F. & Barranco-Jiménez, M.A., 2023. "Energetic optimization and local stability of heliothermal plant models under three thermo-economic performance regimes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
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    3. 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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