TY - JOUR
T1 - Local stability analysis of a thermo-economic model of a Chambadal-Novikov-Curzon-Ahlborn heat engine
AU - Barranco-Jiḿenez, Marco A.
AU - Ṕaez-Hern'andez, Ricardo T.
AU - Reyes-Ramýrez, Israel
AU - Guzḿan-Vargas, Lev
PY - 2011/9
Y1 - 2011/9
N2 - 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 T = T2/T1(T1> T2), the cost function f and the parameter R (a parameter related to the degree of internal irreversibilities). We observe that the stability of the system improves as T increases whereas for changes in f and R, the stability properties are characterized by a rapid decay along the fast eigendirection as f increases and R decreases. Finally, we discuss our results in the context of energetic properties. © 2011 by the authors.
AB - 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 T = T2/T1(T1> T2), the cost function f and the parameter R (a parameter related to the degree of internal irreversibilities). We observe that the stability of the system improves as T increases whereas for changes in f and R, the stability properties are characterized by a rapid decay along the fast eigendirection as f increases and R decreases. Finally, we discuss our results in the context of energetic properties. © 2011 by the authors.
KW - Endoreversible heat engine
KW - Local stability
KW - Thermo-economics
UR - http://www.scopus.com/inward/record.url?scp=80053597757&partnerID=8YFLogxK
U2 - 10.3390/e13091584
DO - 10.3390/e13091584
M3 - Artículo
SN - 1099-4300
VL - 13
SP - 1584
EP - 1594
JO - Entropy
JF - Entropy
IS - 9
ER -