Global Stability Analysis of a Curzon–Ahlborn Heat Engine under Different Regimes of Performance

Entropy

Israel Reyes-Ramírez¹  Marco A. Barranco-Jiménez²  Adolfo Rojas-Pacheco¹ 

[1] Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Av. IPN 2580, L. Ticomán, México D.F. 07340, Mexico; E-Mails:;Departamento de Formación Básica, Escuela Superior de Cómputo, Instituto Politécnico Nacional, Av. Miguel Bernard Esq. Juan de Dios Bátiz, U.P. Zacatenco, México D.F. 07738, Mexico

关键词: heat engine;    global stability analysis;    regimes of performance;    finite time thermodynamics;   

DOI  :  10.3390/e16115796

来源: mdpi

【 摘 要 】

We present a global stability analysis of a Curzon–Ahlborn heat engine considering different regimes of performance. The stability theory is used to construct the Lyapunov functions to prove the asymptotic stability behavior around the steady state of internal temperatures. We provide a general analytic procedure for the description of the global stability by considering internal irreversibilities and a linear heat transfer law at the thermal couplings. The conditions of the global stability are explored for three regimes of performance: maximum power (MP), efficient power (EP) and the so-called ecological function (EF). Moreover, the analytical results were corroborated by means of numerical integrations, which fully validate the properties of the global asymptotic stability.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland