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Entropy 2015, 17(12), 8019-8030; doi:10.3390/e17127860

Local Stability Analysis for a Thermo-Economic Irreversible Heat Engine Model under Different Performance Regimes

1
Departamento de Formación Básica, Escuela Superior de Cómputo, Instituto Politécnico Nacional, Av. Miguel Bernard Esq. Juan de Dios Bátiz, U.P. Zacatenco, Mexico D.F. 07738, Mexico
2
Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edif. 9 UP Zacatenco, Mexico D.F 07738, Mexico
3
Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Av. IPN 2580, L. Ticomán, Mexico D.F. 07340, Mexico
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editor: Milivoje M. Kostic
Received: 18 October 2015 / Revised: 16 November 2015 / Accepted: 24 November 2015 / Published: 4 December 2015
(This article belongs to the Special Issue Exploring the Second Law of Thermodynamics)
View Full-Text   |   Download PDF [510 KB, uploaded 4 December 2015]   |  

Abstract

A recent work reported a local stability analysis of a thermo-economical model of an irreversible heat engine working under maximum power conditions. That work showed that after small perturbations to the working temperatures, the system decreases exponentially to the steady state characterized by two different relaxation times. This work extends the local stability analysis considering other performance regimes: the Maximum Efficient Power (MEP) and the Ecological Function (EF) regimes. The relaxation time was shown under different performance regimes as functions of the temperature ratio τ = T2/T1, with T1 > T2, the fractional fuel cost f and a lumped parameter R related to the internal irreversibilities degree. Under Maximum Efficient Power conditions the relaxation times are less than the relaxation times under both Maximum Ecological function and Maximum Power. At Maximum Power Efficient conditions, the model gives better stability conditions than for the other two regimes. View Full-Text
Keywords: thermo-economics; local stability; irreversible heat engine thermo-economics; local stability; irreversible heat engine
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Barranco-Jiménez, M.A.; Sánchez-Salas, N.; Reyes-Ramírez, I. Local Stability Analysis for a Thermo-Economic Irreversible Heat Engine Model under Different Performance Regimes. Entropy 2015, 17, 8019-8030.

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