Next Article in Journal
The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface
Previous Article in Journal
Spectral Entropy in a Boundary-Layer Flow
Entropy 2011, 13(9), 1584-1594; doi:10.3390/e13091584
Article

Local Stability Analysis of a Thermo-Economic Model of a Chambadal-Novikov-Curzon-Ahlborn Heat Engine

1
, 2
, 3,*  and 3
Received: 29 June 2011; in revised form: 3 August 2011 / Accepted: 17 August 2011 / Published: 29 August 2011
Download PDF [172 KB, uploaded 29 August 2011]
Abstract: In this work we present a local stability analysis of the thermo-economic model of an irreversible heat engine working at maximum power conditions. The thermo-economic model is based on the maximization of a benefit function which is defined by the ratio of the power output and the total cost involved in the plant’s performance. Our study shows that, after a small perturbation, the system decays exponentially to the steady state determined by two different relaxation times. In particular, we show that the relaxation times are function of the temperature ratio τ = T2/T1 (T1 > T2), the cost function ƒ and the parameter R (a parameter related to the degree of internal irreversibilities). We observe that the stability of the system improves as τ increases whereas for changes in ƒ and R, the stability properties are characterized by a rapid decay along the fast eigendirection as ƒ increases and R decreases. Finally, we discuss our results in the context of energetic properties.
Keywords: thermo-economics; local stability; endoreversible heat engine thermo-economics; local stability; endoreversible heat engine
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Export to BibTeX |
EndNote


MDPI and ACS Style

Barranco-Jiménez, M.A.; Páez-Hernández, R.T.; Reyes-Ramírez, I.; Guzmán-Vargas, L. Local Stability Analysis of a Thermo-Economic Model of a Chambadal-Novikov-Curzon-Ahlborn Heat Engine. Entropy 2011, 13, 1584-1594.

AMA Style

Barranco-Jiménez MA, Páez-Hernández RT, Reyes-Ramírez I, Guzmán-Vargas L. Local Stability Analysis of a Thermo-Economic Model of a Chambadal-Novikov-Curzon-Ahlborn Heat Engine. Entropy. 2011; 13(9):1584-1594.

Chicago/Turabian Style

Barranco-Jiménez, Marco A.; Páez-Hernández, Ricardo T.; Reyes-Ramírez, Israel; Guzmán-Vargas, Lev. 2011. "Local Stability Analysis of a Thermo-Economic Model of a Chambadal-Novikov-Curzon-Ahlborn Heat Engine." Entropy 13, no. 9: 1584-1594.


Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert