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

Autor: Lev Guzmán-Vargas, Israel Reyes-Ramírez, Marco A. Barranco-Jiménez, Ricardo T. Páez-Hernández
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: Entropy, Vol 13, Iss 9, Pp 1584-1594 (2011)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e13091584
Popis: 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.
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