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On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes
Departamento de Física, Escuela Superior de Física y Matemáticas del IPN, Edif. 9 U.P. Zacatenco CP 07738, D.F., Mexico
Centro de Investigación en Computación del I.P.N., Av. Juan de Dios Bátiz s/n U.P. Zacatenco CP 07738, D.F., Mexico
Centre for Mathematical Biology, Department of Mathematics and Statistics Sciences, University of Alberta, Edmonton, Alberta T6G 2E1, Canada
Departamento de Formación Básica, Escuela Superior de Cómputo del IPN, Av. Miguel Bernal Esq. Juan de Dios Bátiz U.P. Zacatenco CP 07738, D.F., Mexico
* Author to whom correspondence should be addressed.
Received: 29 December 2010; in revised form: 17 January 2011 / Accepted: 20 January 2011 / Published: 8 February 2011
Abstract: In this work, we focused mainly in the analysis of stability of a non-endoreversible Curzon-Ahlborn engine working in an ecological regime. For comparison purposes we also include the Maximum Efficient Power (MEP) regime taking into account the engine time delays. When the system’s dynamic stability is compared with its thermodynamics properties (efficiency and power output), we find that the temperature ratio τ = T1/T2 represents a trade-off between stability and energetic properties. When we take the non-endoreversible case, τ can increases to values greater than R (where R is the non-endoreversible parameter) but not greater than one. We reformulate an important difference between this case and the other two, Maximum Power (MP) and MEP regime, in which τ = R. Finally, we demonstrated that the total time delay does not destabilize the steady state of system. It does not seem to play a role in the dynamic thermodynamic property trade-off.
Keywords: non-endoreversible; stability; ecological regime; efficient power; time delay
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Sanchez-Salas, N.; Chimal-Eguia, J.C.; Guzman-Aguilar, F. On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes. Entropy 2011, 13, 422-436.
Sanchez-Salas N, Chimal-Eguia JC, Guzman-Aguilar F. On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes. Entropy. 2011; 13(2):422-436.
Sanchez-Salas, Norma; Chimal-Eguia, Juan C.; Guzman-Aguilar, Florencio. 2011. "On the Dynamic Robustness of a Non-Endoreversible Engine Working in Different Operation Regimes." Entropy 13, no. 2: 422-436.