Local stability analysis of an irreversible heat engine working in the maximum power output and the maximum efficiency

2008 ◽  
Vol 28 (7) ◽  
pp. 699-706 ◽  
Author(s):  
Wenjie Nie ◽  
Jizhou He ◽  
Bei Yang ◽  
Xiaoxia Qian
Keyword(s):  
Stability Analysis ◽  
Power Output ◽  
Local Stability ◽  
Heat Engine ◽  
Maximum Power ◽  
Maximum Efficiency ◽  
Maximum Power Output ◽  
Local Stability Analysis

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.

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