Stability analysis of an endoreversible heat engine with Stefan-Boltzmann heat transfer law working in maximum-power-like regime

J. C. Chimal-Eguía, M. A. Barranco-Jiménez, F. Angulo-Brown

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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, (T1 > 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.

Original languageEnglish
Pages (from-to)43-53
Number of pages11
JournalOpen Systems and Information Dynamics
Volume13
Issue number1
DOIs
StatePublished - Mar 2006

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