{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T16:57:38Z","timestamp":1774457858003,"version":"3.50.1"},"reference-count":56,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,12,13]],"date-time":"2022-12-13T00:00:00Z","timestamp":1670889600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The efficiency of a thermoelectric generator model under maximum conditions is presented for two optimization criteria proposed under the context of finite-time thermodynamics, namely, the efficient power criterion and the Omega function, where this last function represents a trade-off between useful and lost energy. The results are compared with the performance of the device at maximum power output. A macroscopic thermoelectric generator (TEG) model with three possible sources of irreversibilities is considered: (i) the electric resistance R for the Joule heating, (ii) the thermal conductances Kh and Kc of the heat exchangers between the thermal baths and the TEG, and (iii) the internal thermal conductance K for heat leakage. In particular, two configurations of the macroscopic TEG are studied: the so-called exoreversible case and the endoreversible limit. It shows that for both TEG configurations, the efficiency at maximum Omega function is always greater than that obtained in conditions of maximum efficient power, and this in turn is greater than that of the maximum power regime.<\/jats:p>","DOI":"10.3390\/e24121812","type":"journal-article","created":{"date-parts":[[2022,12,13]],"date-time":"2022-12-13T03:32:32Z","timestamp":1670902352000},"page":"1812","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Optimization Criteria and Efficiency of a Thermoelectric Generator"],"prefix":"10.3390","volume":"24","author":[{"given":"V. H.","family":"Ju\u00e1rez-Huerta","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, UP Zacatenco, Ciudad de M\u00e9xico CP 07738, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5641-9594","authenticated-orcid":false,"given":"N.","family":"S\u00e1nchez-Salas","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Escuela Superior de F\u00edsica y Matem\u00e1ticas, Instituto Polit\u00e9cnico Nacional, UP Zacatenco, Ciudad de M\u00e9xico CP 07738, Mexico"}]},{"given":"J. C.","family":"Chimal-Egu\u00eda","sequence":"additional","affiliation":[{"name":"Laboratorio de Simulaci\u00f3n y Modelado, Centro de Investigaci\u00f3n en Computaci\u00f3n, Instituto Polit\u00e9cnico Nacional, Av. Juan de Dios Batiz s\/n UP Zacatenco, Ciudad de M\u00e9xico CP 07738, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,13]]},"reference":[{"key":"ref_1","unstructured":"Seebeck, T. (1820). \u00dcber den Magnetismus der Galvanischen Kette Abh k Akad, Wiss."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Seebeck, T.J. (1825). Magnetische Polarisation der Metalle und erze Durch Temperatur-Differenz, W. Engelmann. Number 70.","DOI":"10.1002\/andp.18260820102"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/andp.18260820102","article-title":"Ueber die Magnetische Polarization der Metalle und Erze durch Temperatur-Differenz","volume":"6","author":"Seebeck","year":"1826","journal-title":"Ann. Phys. Chem."},{"key":"ref_4","first-page":"371","article-title":"Nouvelles exp\u00e9riences sur la caloricit\u00e9 des courants \u00e9lectrique","volume":"56","author":"Peltier","year":"1834","journal-title":"Ann. Chim. 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