Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cell
Experimental data from a Direct Ethanol Fuel Cell (DEFC) provides a general perspective about its performance; nevertheless, it does not provide information about the cell’s physical characteristics nor information to improve its performance. On the other hand, numerical simulation can be used to te...
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Elsevier
2023-11-01
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Series: | Energy Reports |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2352484723010806 |
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author | Luis Blanco-Cocom Salvador Botello-Rionda L.C. Ordoñez S. Ivvan Valdez |
author_facet | Luis Blanco-Cocom Salvador Botello-Rionda L.C. Ordoñez S. Ivvan Valdez |
author_sort | Luis Blanco-Cocom |
collection | DOAJ |
description | Experimental data from a Direct Ethanol Fuel Cell (DEFC) provides a general perspective about its performance; nevertheless, it does not provide information about the cell’s physical characteristics nor information to improve its performance. On the other hand, numerical simulation can be used to test the cell’s design and boost its performance but requires a set of physical parameters. In this proposal, we introduce a novel modification to an empirical model for a Direct Methanol Fuel Cell to make it suitable for DEFC simulations at different temperatures by a new semi-empirical mathematical model. In addition, we introduce temperature-depending parametric forms of several terms to reduce the number of possible parameters to estimate from the DEFC. Then, we combined the models with an estimation of distribution algorithm to find the numerical simulation that best reproduces the experimental polarization curve. The method is validated by estimating the parameters to reproduce the experimental data at different temperatures reported in the literature, and with data obtained in an in-house open-cathode DEFC, recorded at a scan rate of 10 mVs−1, using as fuel CH3CH2OH 1 M at 25 °C and 60 °C. From the estimation results at temperature set T1→=(T1a,T1c) ∘C, the same parameters are used for a simulation at T2→=(T2a,T2c) ∘C, demonstrating that it reproduces the two experimental polarization curves. Hence, the models and methods presented here can be used to reduce physical experimentation and to test different designs and operation settings. |
first_indexed | 2024-03-08T20:11:36Z |
format | Article |
id | doaj.art-de23072342334b318839196449a92fc7 |
institution | Directory Open Access Journal |
issn | 2352-4847 |
language | English |
last_indexed | 2024-03-08T20:11:36Z |
publishDate | 2023-11-01 |
publisher | Elsevier |
record_format | Article |
series | Energy Reports |
spelling | doaj.art-de23072342334b318839196449a92fc72023-12-23T05:21:07ZengElsevierEnergy Reports2352-48472023-11-0110451459Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cellLuis Blanco-Cocom0Salvador Botello-Rionda1L.C. Ordoñez2S. Ivvan Valdez3Centro de Investigación en Matemáticas, A.C., Jalisco S/N, Col. Valenciana CP: 36023, Guanajuato, Gto, Apartado Postal 402, CP 36000, MexicoCentro de Investigación en Matemáticas, A.C., Jalisco S/N, Col. Valenciana CP: 36023, Guanajuato, Gto, Apartado Postal 402, CP 36000, MexicoUnidad de Energía Renovable, Centro de Investigación Científica de Yucatán. Parque Científico Tecnológico de Yucatán, Mérida, Yucatán, CP 97302, MexicoCONACYT-Centro de Investigación en Ciencias de Información Geoespacial, CENTROGEO, A.C., C.P. 76703, Querétaro, Mexico; Corresponding author.Experimental data from a Direct Ethanol Fuel Cell (DEFC) provides a general perspective about its performance; nevertheless, it does not provide information about the cell’s physical characteristics nor information to improve its performance. On the other hand, numerical simulation can be used to test the cell’s design and boost its performance but requires a set of physical parameters. In this proposal, we introduce a novel modification to an empirical model for a Direct Methanol Fuel Cell to make it suitable for DEFC simulations at different temperatures by a new semi-empirical mathematical model. In addition, we introduce temperature-depending parametric forms of several terms to reduce the number of possible parameters to estimate from the DEFC. Then, we combined the models with an estimation of distribution algorithm to find the numerical simulation that best reproduces the experimental polarization curve. The method is validated by estimating the parameters to reproduce the experimental data at different temperatures reported in the literature, and with data obtained in an in-house open-cathode DEFC, recorded at a scan rate of 10 mVs−1, using as fuel CH3CH2OH 1 M at 25 °C and 60 °C. From the estimation results at temperature set T1→=(T1a,T1c) ∘C, the same parameters are used for a simulation at T2→=(T2a,T2c) ∘C, demonstrating that it reproduces the two experimental polarization curves. Hence, the models and methods presented here can be used to reduce physical experimentation and to test different designs and operation settings.http://www.sciencedirect.com/science/article/pii/S2352484723010806Direct ethanol fuel cell (DEFC)Empirical mathematical modelSemi-empirical mathematical modelParameter estimationUMDAG |
spellingShingle | Luis Blanco-Cocom Salvador Botello-Rionda L.C. Ordoñez S. Ivvan Valdez Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cell Energy Reports Direct ethanol fuel cell (DEFC) Empirical mathematical model Semi-empirical mathematical model Parameter estimation UMDAG |
title | Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cell |
title_full | Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cell |
title_fullStr | Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cell |
title_full_unstemmed | Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cell |
title_short | Parameter estimation for empirical and semi-empirical models in a direct ethanol fuel cell |
title_sort | parameter estimation for empirical and semi empirical models in a direct ethanol fuel cell |
topic | Direct ethanol fuel cell (DEFC) Empirical mathematical model Semi-empirical mathematical model Parameter estimation UMDAG |
url | http://www.sciencedirect.com/science/article/pii/S2352484723010806 |
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