Local-stability analysis of a low-dissipation heat engine working at maximum power output

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
I. Reyes-Ramírez ◽  
J. Gonzalez-Ayala ◽  
A. Calvo Hernández ◽  
M. Santillán
Keyword(s):  
Stability Analysis ◽  
Power Output ◽  
Local Stability ◽  
Heat Engine ◽  
Maximum Power ◽  
Maximum Power Output ◽  
Local Stability Analysis ◽  
Low Dissipation

Stability Analysis of an Endoreversible Heat Engine with Stefan-Boltzmann Heat Transfer Law Working in Maximum-Power-Like Regime

2006 ◽  
Vol 13 (01) ◽  
pp. 43-53 ◽  
Author(s):  
J. C. Chimal-Eguía ◽  
M. A. Barranco-Jiménez ◽  
F. Angulo-Brown
Keyword(s):  
Steady State ◽  
Stability Analysis ◽  
Local Stability ◽  
Heat Engine ◽  
Relaxation Times ◽  
Stability Study ◽  
Maximum Power ◽  
Working Fluid ◽  
Local Stability Analysis ◽  
The Stability

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.

scholarly journals Optimal temperatures and maximum power output of a complex system with linear phenomenological heat transfer law

2009 ◽  
Vol 13 (4) ◽  
pp. 33-40 ◽  
Author(s):  
Lingen Chen ◽  
Jun Li ◽  
Fengrui Sun
Keyword(s):  
Complex System ◽  
Heat Transfer ◽  
Power Output ◽  
Finite Time ◽  
Heat Engine ◽  
Thermal Capacity ◽  
Maximum Power ◽  
Finite Time Thermodynamics ◽  
Maximum Power Output ◽  
Different Temperatures

A complex system including several heat reservoirs, finite thermal capacity subsystems with different temperatures and a transformer (heat engine or refrigerator) with linear phenomenological heat transfer law [q ? ?(T -1)] is studied by using finite time thermodynamics. The optimal temperatures of the subsystems and the transformer and the maximum power output (or the minimum power needed) of the system are obtained.

scholarly journals Maximum Power Output of Quantum Heat Engine with Energy Bath

Entropy ◽  
2016 ◽  
Vol 18 (6) ◽  
pp. 205 ◽  
Author(s):  
Shengnan Liu ◽  
Congjie Ou
Keyword(s):  
Power Output ◽  
Heat Engine ◽  
Maximum Power ◽  
Maximum Power Output ◽  
Quantum Heat Engine

Local Stability of an Endoreversible Heat Engine Working in an Ecological Regime

2007 ◽  
Vol 14 (04) ◽  
pp. 411-424 ◽  
Author(s):  
J. C. Chimal-Eguía ◽  
I. Reyes-Ramírez ◽  
L. Guzmán-Vargas
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Stability Analysis ◽  
Local Stability ◽  
Heat Engine ◽  
Relaxation Times ◽  
Local Stability Analysis ◽  
The Stability ◽  
Qualitative Phase ◽  
Ecological Regime

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.

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
Keyword(s):  
Stability Analysis ◽  
Economic Model ◽  
Local Stability ◽  
Heat Engine ◽  
Local Stability Analysis
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