{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T19:00:30Z","timestamp":1762542030663,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2011,8,29]],"date-time":"2011-08-29T00:00:00Z","timestamp":1314576000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this work we present a local stability analysis of the thermo-economic model of an irreversible heat engine working at maximum power conditions. The thermo-economic model is based on the maximization of a benefit function which is defined by the ratio of the power output and the total cost involved in the plant\u2019s performance. Our study shows that, after a small perturbation, the system decays exponentially to the steady state determined by two different relaxation times. In particular, we show that the relaxation times are function of the temperature ratio \u03c4 = T2\/T1 (T1 &gt; T2), the cost function \u0192 and the parameter R (a parameter related to the degree of internal irreversibilities). We observe that the stability of the system improves as \u03c4 increases whereas for changes in \u0192 and R, the stability properties are characterized by a rapid decay along the fast eigendirection as \u0192 increases and R decreases. Finally, we discuss our results in the context of energetic properties.<\/jats:p>","DOI":"10.3390\/e13091584","type":"journal-article","created":{"date-parts":[[2011,8,30]],"date-time":"2011-08-30T06:04:23Z","timestamp":1314684263000},"page":"1584-1594","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Local Stability Analysis of a Thermo-Economic Model of a Chambadal-Novikov-Curzon-Ahlborn Heat Engine"],"prefix":"10.3390","volume":"13","author":[{"given":"Marco A.","family":"Barranco-Jim\u00e9nez","sequence":"first","affiliation":[{"name":"Departamento de Formaci\u00f3n B\u00e1sica, Escuela Superior de C\u00f3mputo del IPN, Av. Miguel Bernard Esq. Juan de Dios B\u00e1tiz, U.P. Zacatenco, M\u00e9xico D.F. 07738, M\u00e9xico"}]},{"given":"Ricardo T.","family":"P\u00e1ez-Hern\u00e1ndez","sequence":"additional","affiliation":[{"name":"\u00c1rea de F\u00edsica de Procesos Irreversibles, Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana Azcapotzalco, Av. San Pablo 180, Col. Reynosa Tamps., M\u00e9xico D.F. 02200, M\u00e9xico"}]},{"given":"Israel","family":"Reyes-Ram\u00edrez","sequence":"additional","affiliation":[{"name":"Unidad Profesional Interdisciplinaria en Ingenier\u00eda y Tecnolog\u00edas Avanzadas del IPN, Av. IPN 2580, L. Ticom\u00e1n, M\u00e9xico D.F. 07340, M\u00e9xico"}]},{"given":"Lev","family":"Guzm\u00e1n-Vargas","sequence":"additional","affiliation":[{"name":"Unidad Profesional Interdisciplinaria en Ingenier\u00eda y Tecnolog\u00edas Avanzadas del IPN, Av. IPN 2580, L. Ticom\u00e1n, M\u00e9xico D.F. 07340, M\u00e9xico"}]}],"member":"1968","published-online":{"date-parts":[[2011,8,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1119\/1.10023","article-title":"Efficiency of a Carnot engine at maximum power output","volume":"43","author":"Curzon","year":"1975","journal-title":"Am. J. Phys."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1016\/j.applthermaleng.2006.09.020","article-title":"Optimisation of the direct carnot cycle","volume":"27","author":"Feidt","year":"2007","journal-title":"Appl. Therm. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1504\/IJEX.2008.020823","article-title":"Optimal use of energy system and processes","volume":"5","author":"Feidt","year":"2008","journal-title":"Int. J. Exergy"},{"key":"ref_4","unstructured":"Chen, L., and Sun, F. (2004). 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