Optimization Criteria and Efficiency of a Thermoelectric Generator
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 usefu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/24/12/1812 |
| _version_ | 1797459187994722304 |
|---|---|
| author | V. H. Juárez-Huerta N. Sánchez-Salas J. C. Chimal-Eguía |
| author_facet | V. H. Juárez-Huerta N. Sánchez-Salas J. C. Chimal-Eguía |
| author_sort | V. H. Juárez-Huerta |
| collection | DOAJ |
| description | 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: <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>i</mi><mo>)</mo></mrow></semantics></math></inline-formula> the electric resistance <i>R</i> for the Joule heating, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>i</mi><mi>i</mi><mo>)</mo></mrow></semantics></math></inline-formula> the thermal conductances <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>K</mi><mi>h</mi></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>K</mi><mi>c</mi></msub></semantics></math></inline-formula> of the heat exchangers between the thermal baths and the TEG, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>i</mi><mi>i</mi><mi>i</mi><mo>)</mo></mrow></semantics></math></inline-formula> the internal thermal conductance <i>K</i> 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. |
| first_indexed | 2024-03-09T16:48:51Z |
| format | Article |
| id | doaj.art-5e871afc5ed546ff8ed1dee47e34cd3b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T16:48:51Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-5e871afc5ed546ff8ed1dee47e34cd3b2023-11-24T14:43:24ZengMDPI AGEntropy1099-43002022-12-012412181210.3390/e24121812Optimization Criteria and Efficiency of a Thermoelectric GeneratorV. H. Juárez-Huerta0N. Sánchez-Salas1J. C. Chimal-Eguía2Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, UP Zacatenco, Ciudad de México CP 07738, MexicoDepartamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, UP Zacatenco, Ciudad de México CP 07738, MexicoLaboratorio de Simulación y Modelado, Centro de Investigación en Computación, Instituto Politécnico Nacional, Av. Juan de Dios Batiz s/n UP Zacatenco, Ciudad de México CP 07738, MexicoThe 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: <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>i</mi><mo>)</mo></mrow></semantics></math></inline-formula> the electric resistance <i>R</i> for the Joule heating, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>i</mi><mi>i</mi><mo>)</mo></mrow></semantics></math></inline-formula> the thermal conductances <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>K</mi><mi>h</mi></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>K</mi><mi>c</mi></msub></semantics></math></inline-formula> of the heat exchangers between the thermal baths and the TEG, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>i</mi><mi>i</mi><mi>i</mi><mo>)</mo></mrow></semantics></math></inline-formula> the internal thermal conductance <i>K</i> 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.https://www.mdpi.com/1099-4300/24/12/1812endoreversible limitexoreversible thermal enginefinite time thermodynamicsthermoelectric generator |
| spellingShingle | V. H. Juárez-Huerta N. Sánchez-Salas J. C. Chimal-Eguía Optimization Criteria and Efficiency of a Thermoelectric Generator Entropy endoreversible limit exoreversible thermal engine finite time thermodynamics thermoelectric generator |
| title | Optimization Criteria and Efficiency of a Thermoelectric Generator |
| title_full | Optimization Criteria and Efficiency of a Thermoelectric Generator |
| title_fullStr | Optimization Criteria and Efficiency of a Thermoelectric Generator |
| title_full_unstemmed | Optimization Criteria and Efficiency of a Thermoelectric Generator |
| title_short | Optimization Criteria and Efficiency of a Thermoelectric Generator |
| title_sort | optimization criteria and efficiency of a thermoelectric generator |
| topic | endoreversible limit exoreversible thermal engine finite time thermodynamics thermoelectric generator |
| url | https://www.mdpi.com/1099-4300/24/12/1812 |
| work_keys_str_mv | AT vhjuarezhuerta optimizationcriteriaandefficiencyofathermoelectricgenerator AT nsanchezsalas optimizationcriteriaandefficiencyofathermoelectricgenerator AT jcchimaleguia optimizationcriteriaandefficiencyofathermoelectricgenerator |