scholarly journals Link between optimization and local stability of a low-dissipation heat engine: Dynamic and energetic behaviors

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
J. Gonzalez-Ayala ◽  
M. Santillán ◽  
I. Reyes-Ramírez ◽  
A. Calvo-Hernández
Keyword(s):  
Local Stability ◽  
Heat Engine ◽  
Low Dissipation ◽  
Engine Dynamic

scholarly journals Optimization and Stability of Heat Engines: The Role of Entropy Evolution

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 865 ◽  
Author(s):  
Julian Gonzalez-Ayala ◽  
Moises Santillán ◽  
Maria Santos ◽  
Antonio Calvo Hernández ◽  
José Mateos Roco
Keyword(s):  
Local Stability ◽  
Production Efficiency ◽  
Basin Of Attraction ◽  
Heat Engine ◽  
Time Constraints ◽  
Thermal Gradients ◽  
Heat Engines ◽  
Low Dissipation ◽  
The Basin Of Attraction

Local stability of maximum power and maximum compromise (Omega) operation regimes dynamic evolution for a low-dissipation heat engine is analyzed. The thermodynamic behavior of trajectories to the stationary state, after perturbing the operation regime, display a trade-off between stability, entropy production, efficiency and power output. This allows considering stability and optimization as connected pieces of a single phenomenon. Trajectories inside the basin of attraction display the smallest entropy drops. Additionally, it was found that time constraints, related with irreversible and endoreversible behaviors, influence the thermodynamic evolution of relaxation trajectories. The behavior of the evolution in terms of the symmetries of the model and the applied thermal gradients was analyzed.

scholarly journals Universal constraint for efficiency and power of a low-dissipation heat engine

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Yu-Han Ma ◽  
Dazhi Xu ◽  
Hui Dong ◽  
Chang-Pu Sun
Keyword(s):  
Heat Engine ◽  
Low Dissipation ◽  
Universal Constraint

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.

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