Multivariable linear regression for SOFC stack temperature estimation under degradation effects

Antti Pohjoranta (Corresponding Author), Matias Halinen, Jari Pennanen, Jari Kiviaho

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)

Abstract

Multivariable linear regression (MLR) models are developed for the estimation of the maximum temperature and the temperature difference over a cell inside a solid oxide fuel cell (SOFC) stack. Empirical test data from both long-term tests (3500 hours) and a full three-factor designed experiment on a 10 kW SOFC system are utilized in the work. It is shown that accurate estimation can be carried out effectively based on systematic short-term experiments and by using simple and reliable measurements even under the effects of stack performance degradation. After proper data is obtained, selection of suitable MLR model regressors is crucial to obtaining good estimates. The cathode outlet temperature was found useful for the estimation of the stack maximum temperature and the stack voltage for the estimation of the temperature difference over a cell. Also, analysis of the measurement data shows that the experiment design can be considerably reduced without significant reduction in obtained information. The importance of using both long-term testing data as well as short-term designed experiments from an invariant system as the basis for modeling is underlined
Original languageEnglish
Pages (from-to)425-433
Number of pages9
JournalJournal of the Electrochemical Society
Volume161
Issue number4
DOIs
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

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Solid oxide fuel cells (SOFC)
Linear regression
Degradation
Temperature
Experiments
Cathodes
Testing
Electric potential

Cite this

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abstract = "Multivariable linear regression (MLR) models are developed for the estimation of the maximum temperature and the temperature difference over a cell inside a solid oxide fuel cell (SOFC) stack. Empirical test data from both long-term tests (3500 hours) and a full three-factor designed experiment on a 10 kW SOFC system are utilized in the work. It is shown that accurate estimation can be carried out effectively based on systematic short-term experiments and by using simple and reliable measurements even under the effects of stack performance degradation. After proper data is obtained, selection of suitable MLR model regressors is crucial to obtaining good estimates. The cathode outlet temperature was found useful for the estimation of the stack maximum temperature and the stack voltage for the estimation of the temperature difference over a cell. Also, analysis of the measurement data shows that the experiment design can be considerably reduced without significant reduction in obtained information. The importance of using both long-term testing data as well as short-term designed experiments from an invariant system as the basis for modeling is underlined",
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Multivariable linear regression for SOFC stack temperature estimation under degradation effects. / Pohjoranta, Antti (Corresponding Author); Halinen, Matias; Pennanen, Jari; Kiviaho, Jari.

In: Journal of the Electrochemical Society, Vol. 161, No. 4, 2014, p. 425-433.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Multivariable linear regression for SOFC stack temperature estimation under degradation effects

AU - Pohjoranta, Antti

AU - Halinen, Matias

AU - Pennanen, Jari

AU - Kiviaho, Jari

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AB - Multivariable linear regression (MLR) models are developed for the estimation of the maximum temperature and the temperature difference over a cell inside a solid oxide fuel cell (SOFC) stack. Empirical test data from both long-term tests (3500 hours) and a full three-factor designed experiment on a 10 kW SOFC system are utilized in the work. It is shown that accurate estimation can be carried out effectively based on systematic short-term experiments and by using simple and reliable measurements even under the effects of stack performance degradation. After proper data is obtained, selection of suitable MLR model regressors is crucial to obtaining good estimates. The cathode outlet temperature was found useful for the estimation of the stack maximum temperature and the stack voltage for the estimation of the temperature difference over a cell. Also, analysis of the measurement data shows that the experiment design can be considerably reduced without significant reduction in obtained information. The importance of using both long-term testing data as well as short-term designed experiments from an invariant system as the basis for modeling is underlined

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