The Role of Internal Irreversibilities in the Performance and Stability of Power Plant Models Working at Maximum ϵ-Ecological Function

References

[1] F. L. Curzon and B. Ahlborn, Efficiency of a Carnot engine at maximum power output, Am. J. Phys. 43 (1975), 22–24.10.1119/1.10023Suche in Google Scholar

[2] M. Rubin, Optimal configuration of a class of irreversible heat engines I, Phys. Rev. A 19 (1979), 272–276.10.1103/PhysRevA.19.1277Suche in Google Scholar

[3] A. De Vos, Efficiency of some heat engines at maximum-power conditions, Am. J. Phys. 53 (1985), 570–573.10.1119/1.14240Suche in Google Scholar

[4] A. Bejan, Theory of heat transfer-irreversible power plants, Int. Heat Mass Transf. 31 (1988), 1211–1219.10.1016/0017-9310(88)90064-6Suche in Google Scholar

[5] J. M. Gordon and M. Huleihil, General performance characteristics of real heat engines, J. Appl. Phys. 72 (1992), 829–837.10.1063/1.351755Suche in Google Scholar

[6] C. Wu and R. L. Kiang, Finite-time thermodynamics analysis of a Carnot engine with internal irreversibility, Energy 17 (1992), 1173–1178.10.1016/0360-5442(92)90006-LSuche in Google Scholar

[7] S. Özcaynak, S. Göktun and H. Yavuz, Finite-time thermodynamics analysis of a radiative heat engine with internal irreversibility, J. Phys. D Appl. Phys. 27 (1994), 1139–1143.10.1088/0022-3727/27/6/010Suche in Google Scholar

[8] J. Chen, The maximum power output and maximum efficiency of an irreversible Carnot heat engine, J. Phys. D Appl. Phys. 27 (1994), 1144–1149.10.1088/0022-3727/27/6/011Suche in Google Scholar

[9] A. Fischer and K. H. Hoffmann, Can a quantitative simulation of an Otto engine be accurately rendered by a simple Novikov model with heat leak? J. Non-Equilib.Thermodyn. 29 (2005), 9–28.10.1515/JNETDY.2004.002Suche in Google Scholar

[10] R. C. Tolman and P. C. Fine, On the irreversible production of entropy, Rev. Mod. Phys. 20 (1948), 51–77.10.1103/RevModPhys.20.51Suche in Google Scholar

[11] J. J. Silva-Martinez and L. A. Arias-Hernandez, Energetic performance of a series arrangement of irreversible power cycles, Rev. Mex. Fis. 59 (2013), no. 1, 192–198.Suche in Google Scholar

[12] S. Sieniutycz and P. Salamon, Finite Time Thermodynamics and Thermoeconomics, 1st ed., Taylor and Francis, New York, 1990.Suche in Google Scholar

[13] K. H. Hoffmann, J. M. Burzler and S. Schubert, Endoreversible Thermodynamics, J. Non-Equilib. Thermodyn. 22 (1997), 311–355.Suche in Google Scholar

[14] C. Wu, L. Chen and J. Chen, Recent Advances in Finite Time Thermodynamics, 1st ed., Nova Science, New York, 1999.Suche in Google Scholar

[15] A. Durmayaz, O. S. Sogut, B. Sahin and H. Yavuz, Optimization of thermal systems based on finite-time thermodynamics and thermoeconomics, Prog. Energy Combust. Sci. 30 (2004), 175–217.10.1016/j.pecs.2003.10.003Suche in Google Scholar

[16] L. Chen, X. Zhu, F. Sun and C. Wu, Exergy-based ecological optimization of linear phenomenological heat-transfer law irreversible Carnot-engines, Appl. Energy 83 (2006), 573–582.10.1016/j.apenergy.2005.05.004Suche in Google Scholar

[17] C. Sullivan, Newton’s law of cooling–A critical assessment, Am. J. Phys. 58 (1990), 956–960.10.1119/1.16309Suche in Google Scholar

[18] S. Levario-Medina, Estudio del desempeño energético de un motor térmico operando a potencia eficiente generalizada, Master Thesis, ESFM-IPN, Mexico, 2016 (in Spanish).Suche in Google Scholar

[19] S. Levario-Medina, G. Valencia-Ortega and M. A. Barranco-Jiménez, Energetic Optimization Considering a Generalization of the Ecological Criterion in Traditional Simple-Cycle and Combined-Cycle Power Plants, J. Non-Equilib. Thermodyn. 45 (2020), 269–290.10.1515/jnet-2019-0088Suche in Google Scholar

[20] P. L. Curto-Riso, A. Medina, A. Calvo Hernández, L. Guzmán-Vargas and F. Angulo-Brown, On cycle-to-cycle heat release variations in a simulated spark ignition heat engine, Appl. Energy 88 (2011), 1557–1567.10.1016/j.apenergy.2010.11.030Suche in Google Scholar

[21] T. Yilmaz, A new performance criterion for heat engines: efficient power, J. Energy Inst. 79 (2006), 38–41.10.1179/174602206X90931Suche in Google Scholar

[22] S. Velasco, J. M. M. Roco, A. Medina, J. A. White and A. Calvo-Hernández, Optimization of heat engines including the saving of natural resources and the reduction of thermal pollution, J. of Phys. D: App. Phys. 33 (2000), 355–359.10.1088/0022-3727/33/4/307Suche in Google Scholar

[23] A. Calvo Hernández, A. Medina, J. M. M. Roco J.A. White and S. Velasco, Unified optimization criterion for energy converters, Phys. Rev. E 63 (2001), 037102.10.1103/PhysRevE.63.037102Suche in Google Scholar PubMed

[24] F. Angulo-Brown, An ecological optimization criterion for finite-time heat engines, J. Appl. Phys. 69 (1991), 7465–7469.10.1063/1.347562Suche in Google Scholar

[25] L. A. Arias-Hernandez and F. Angulo-Brown, A general property of endoreversible thermal engines, J. Appl. Phys. 81 (1997), 2973–2979.10.1063/1.364090Suche in Google Scholar

[26] F. Angulo-Brown and L. A. Arias-Hernandez, Reply to “Comment on ‘A general property of endoreversible thermal engines’” [J. Appl. Phys. 89, 1518 (2001)], J. Appl. Phys. 89 (2001), 1520–1521.10.1063/1.1335619Suche in Google Scholar

[27] L. Partido-Tornez, Aplicación de los criterios omega y ecológico generalizado a diferentes covertidores de energía, Master thesis, ESFM-IPN, Mexico, 2006 (in Spanish).Suche in Google Scholar

[28] S. Levario-Medina, G. Valencia-Ortega and L. A. Arias-Hernandez, Thermal optimization of Curzon-Ahlborn heat engines operating under some generalized efficient power regimes, Eur. Phys. J. Plus 134 (2019), no. 348. 1–13.10.1140/epjp/i2019-12711-2Suche in Google Scholar

[29] S. Levario-Medina, Estudio de algunas funciones compromiso y sus efectos en la optimización termodinámica en los modelos de convertidores de energía, Ph.D. thesis, ESFM-IPN, Mexico, 2021 (in Spanish).Suche in Google Scholar

[30] M. Santillán, G. Maya and F. Angulo-Brown, Local stability analysis of an endoreversible Curzon-Ahlborn-Novikov engine working in a maximum-power-like regime, J. Phys. D: Appl. Phys. 34 (2001), 2068–2072.10.1088/0022-3727/34/13/318Suche in Google Scholar

[31] L. Guzmán-Vargas, I. Reyes-Ramírez and N. Sánchez, The effect of heat transfer laws and thermal conductances on the local stability of an endoreversible heat engines, J. Phys. D: Appl. Phys. 38 (2005), 1282–1291.10.1088/0022-3727/38/8/028Suche in Google Scholar

[32] R. T. Paéz-Hernández, F. Angulo-Brown and M. Santillán, Dynamics Robustness and Thermodynamics Optimization in a Non-Endoreversible Curzon-Ahlborn Engine, J. Non-Equilib. Thermodyn. 31 (2006), 173–188.10.1515/JNETDY.2006.008Suche in Google Scholar

[33] I. Reyes-Ramírez, M. A. Barranco-Jiménez, A. Rojas-Pacheco and L. Guzmán-Vargas, Global stability analysis of a Curzon-Ahlborn heat engine using the Lyapunov method, Phys. A Stat. Mech. Appl. 399 (2014), 98–105.10.1016/j.physa.2013.12.044Suche in Google Scholar

[34] L. G. Chen, X. H. Wu and X. W. Liu, Local Stability of a generalized irreversible heat engine with linear phenomenological heat transfer law working in an ecological regime, Therm. Sci. Eng. Prog. 8 (2018), 537–541.10.1016/j.tsep.2018.10.010Suche in Google Scholar

[35] J. González-Ayala, J. Guo, A. Medina, J. M. M. Roco and A. Calvo-Hernández, Optimization induced by stability and the role of limited control near a steady state, Phys. Rev. E 100 (2019), 062128.10.1103/PhysRevE.100.062128Suche in Google Scholar PubMed

[36] G. Valencia-Ortega, S. Levario-Medina and M. A. Barranco-Jiménez, Local and global stability analysis of a Curzon-Ahlborn model applied to power plants working at maximum k-efficient power, Phys. A Stat. Mech. Appl. 571 (2021), 125863.10.1016/j.physa.2021.125863Suche in Google Scholar

[37] Y. Huang and D. Sun, Local Stability Analysis of a Non-Endoreversible Heat Pump, J. Non-Equilib. Thermodyn. 33 (2008), 61–74.10.1515/JNETDY.2008.004Suche in Google Scholar

[38] X. H. Wu, L. G. Chen, Y. L. Ge and F. R. Sun, Local of an endoreversible Carnot heat pump with linear phenomenological heat transfer law working in an ecological regime, Scientia Iranica, Trans. B: Mech. Eng. 19 (2012), 1519–1525.10.1016/j.scient.2012.10.012Suche in Google Scholar

[39] Y. Huang and D. Sun, The effect of cooling load and thermal conductance on the local stability of an endoreversible refrigerator, Int. J. Refrig. 31 (2008), 483–489.10.1016/j.ijrefrig.2007.07.004Suche in Google Scholar

[40] X. Wu, L. Chen, Y. Ge and F. Sun, Local stability of a non-endoreversible Carnot refrigerator working at the maximum ecological function, Appl. Math. Model. 39 (2015), 1689–1700.10.1016/j.apm.2014.09.031Suche in Google Scholar

[41] P. A. N. Wouagfack and G. Keune, Local stability analysis of an irreversible refrigerator working at the maximum thermoecological functions: a comparison, Int. J. Refrig. 65 (2017), 38–51.10.1016/j.ijrefrig.2017.01.006Suche in Google Scholar

[42] G. Keune, P. A. N. Wouagfack and R. Tchinda, Local stability analysis of an irreversible absortion refrigerator powered by a wood boile, Int. J. Refrig. 115 (2020), 83–95.10.1016/j.ijrefrig.2020.02.027Suche in Google Scholar

[43] G. Valencia-Ortega, S. Levario-Medina and M. A. Barranco-Jiménez, Thermal stability analysis of nuclear and fossil fuel power plants including the Dulong-Petit heat transfer law and economic features, Therm. Sci. Eng. Prog. 23 (2021), 1–12.10.1016/j.tsep.2021.100879Suche in Google Scholar

[44] J. González-Ayala, A. Medina, J. M. M. Roco and A. Calvo Hernández, Thermodynamic optimization subsumed in stability phenomena, Sci. Rep. 10 (2020), 1–16.10.1038/s41598-020-71130-7Suche in Google Scholar PubMed PubMed Central

[45] J. González-Ayala, J. M. M. Roco, A. Medina and A. Calvo Hernández, Optimization, Stability and Entropy in Endoreversible Heat Engines, Entropy 22 (2020), 1323.10.3390/e22111323Suche in Google Scholar PubMed PubMed Central

[46] H. T. Odum and R. C. Pinkerton, Time’s speed regulator: the optimum efficiency for maximum power output in physical and biological systems, Am. Sci. 43 (1955), 331–343.Suche in Google Scholar

[47] A. Bejan, G. Tsatsaronis and M. Moran, Thermal Design and Optimization, 1st ed., John Wiley & Sons, New York, 1996.Suche in Google Scholar

[48] S. Petrescu, M. Costea, C. Harman and T. Florea, Application of the Direct Method to irreversible Stirling cycles with finite speed, Int. J. Energy Res. 26 (2002), 589–609.10.1002/er.806Suche in Google Scholar

[49] M. Feidt, Finite Physical Dimension Optimal Thermodynamics 1-Fundamentals, 1st ed., ISTE Press Elsevier, London, 2017.10.1016/B978-1-78548-232-8.50001-7Suche in Google Scholar

[50] R. Clausius, The Mechanical Theory of Heat, 1st ed., Mac Millan and Co., London, 1879.Suche in Google Scholar

[51] L. García-Colín Scherer and P. Goldstein Menache, Procesos Irreversibles-Teoría y Aplicaciones 1, 1st ed., El Colegio Nacional, Mexico City, 2013 (in Spanish).Suche in Google Scholar

[52] L. A. Arias-Hernandez, M. A. Barranco-Jiménez and F. Angulo-Brown, Comparative analysis of two ecological type modes of performance for a simple energy converter, J. Energy Inst. 82 (2009), 223–227.10.1179/014426009X12448189963432Suche in Google Scholar

[53] L. Chen, D. Xia and F. Sun, Ecological optimization of generalized irreversible chemical engines, Int. J. Chem. React. Eng. 8 (2010), 2361.10.2202/1542-6580.2361Suche in Google Scholar

[54] M. A. Barranco-Jiménez, A. Ocampo-García and F. Angulo-Brown, Thermodynamic analysis of an array of isothermal endoreversible electric engines, Eur. Phys. J. Plus 135 (2020), no. 153. 1–14.10.1140/epjp/s13360-019-00038-7Suche in Google Scholar

[55] I. I. Novikov, The efficiency of atomic power stations (a review), J. Nucl. Energy 7 (1958), 125–128.10.1016/0891-3919(58)90244-4Suche in Google Scholar

[56] F. Angulo-Brown and R. Páez-Hernández, Endoreversible thermal cycle with a nonlinear heat transfer law, J. Appl. Phys. 74 (1993), 2216–2219.10.1063/1.354728Suche in Google Scholar

[57] L. Chen, F. Sun and C. Wu, Thermo-economics for endoreversible heat-engines, Appl. Energy 81 (2005), 388–396.10.1016/j.apenergy.2004.09.008Suche in Google Scholar

[58] M. A. Ramírez-Moreno, S. González-Hernández and F. Angulo-Brown, The role of the Stefan-Boltzmann law in the thermodynamics optimization of an n-Müser engine, Phys. A Stat. Mech. Appl. 444 (2016), 914–921.10.1016/j.physa.2015.10.094Suche in Google Scholar

[59] M. A. Barranco-Jiménez, R. T. Páez-Hernández, I. Reyes-Ramírez and L. Guzmán-Vargas, Local Stability Analysis of a Thermo-Economic Model of a Chambadal-Novikov-Curzon-Ahlborn Heat Engine, Entropy 16 (2011), 1584–1594.10.3390/e13091584Suche in Google Scholar

[60] I. Reyes-Ramírez, M. A. Barranco-Jiménez, A. Rojas-Pacheco and L. Guzmán-Vargas, Global Stability Analysis of a Curzon-Ahlborn Heat Engine under Different Regimes of Performance, Entropy 16 (2014), 5796–5809.10.3390/e16115796Suche in Google Scholar

[61] M. A. Barranco-Jiménez, N. Sánchez-Salas and I. Reyes-Ramírez, Local Stability Analysis for a Thermo-Economic Irreversible Heat Engine Model under Different Performance Regimes, Entropy 17 (2015), 8019–8030.10.3390/e17127860Suche in Google Scholar

[62] H. Jeffreys, Asymptotic approximations, 1st ed., Claredon Press, Oxford, 1962.Suche in Google Scholar

[63] S. H. Strogatz, Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry and Engineering, 1st ed., Addison-Wesley Publishing Company, New York, 1994.10.1063/1.4823332Suche in Google Scholar

[64] S. G. Tzafestas, Introduction to Mobile Robot Control, 1st ed., Elsevier, London, 2014.10.1016/B978-0-12-417049-0.00001-8Suche in Google Scholar

[65] H. K. Khalil, Nonlinear Control, 1st ed., Pearson, London, 2015.Suche in Google Scholar