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

Entropy ◽  
2011 ◽  
Vol 13 (9) ◽  
pp. 1584-1594 ◽  
Author(s):  
Marco A. Barranco-Jiménez ◽  
Ricardo T. Páez-Hernández ◽  
Israel Reyes-Ramírez ◽  
Lev Guzmán-Vargas
2006 ◽  
Vol 13 (01) ◽  
pp. 43-53 ◽  
Author(s):  
J. C. Chimal-Eguía ◽  
M. A. Barranco-Jiménez ◽  
F. Angulo-Brown

A local stability study of an endoreversible Stefan-Boltzmann (SB) engine, working in a maximum-power-like regime, is presented. This engine consists of a Carnot engine that exchanges heat with heat reservoirs T1 and T2, (T 1 > T2) through a couple of thermal links, both having the same conductance g. In addition, the working fluid has the same heat capacity C in the two isothermal branches of the cycle. From the local stability analysis we conclude that the SB engine is stable for every value of g, C and τ = T2/T1. After a small perturbation, the system decays to the steady state with either of two different relaxation times; both being proportional to C/g, and τ. Finally, when we plot some of the thermodynamic properties in the steady state versus τ, we find how an increment of τ can improve the stability of the system, at the same decreasing the efficiency and the power of the system. This suggests a compromise between the stability and the energetic properties of the engine driven by τ.


2007 ◽  
Vol 14 (04) ◽  
pp. 411-424 ◽  
Author(s):  
J. C. Chimal-Eguía ◽  
I. Reyes-Ramírez ◽  
L. Guzmán-Vargas

We present a local stability analysis of an endoreversible engine working in an ecological regime, for three common heat transfer laws. From our local stability analysis we conclude that the system is stable for every value of the heat conductivity g, the heat capacity C and the ratio of temperatures τ = T2/T1 with T1 > T2. After a small perturbation the system decays exponentially to the steady state determined by two different relaxation times. We observe that the stability of the system improves as r increases whereas the steady-state energetic properties of the engine decline. Moreover, we compare the stability properties of the engine working in the ecological regime and under maximum power output. Finally, qualitative phase-space portraits for the evolution of the system are presented for representative cases.


Entropy ◽  
2015 ◽  
Vol 17 (12) ◽  
pp. 8019-8030 ◽  
Author(s):  
Marco Barranco-Jiménez ◽  
Norma Sánchez-Salas ◽  
Israel Reyes-Ramírez

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