Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg–Marquardt Algorithm: A New Automatic Update Limit Strategy

Žic, Mark; Fajfar, Iztok; Subotić, Vanja; Pereverzyev, Sergei; Kunaver, Matevž

doi:10.3390/pr9010108

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Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg–Marquardt Algorithm: A New Automatic Update Limit Strategy

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Ruđer Bošković Institute, P.O. Box 180, 10000 Zagreb, Croatia

Faculty of Electrical Engineering, University of Ljubljana, 1000 Ljubljana, Slovenia

Institute of Thermal Engineering, Graz University of Technology, Inffeldgasse 25b, A-8010 Graz, Austria

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Johann Radon Institute for Computational and Applied Mathematics, Altenbergerstrasse 69, A-4040 Linz, Austria

Author to whom correspondence should be addressed.

Processes 2021, 9(1), 108; https://doi.org/10.3390/pr9010108

Received: 4 December 2020 / Revised: 29 December 2020 / Accepted: 30 December 2020 / Published: 7 January 2021

(This article belongs to the Special Issue Recent Advances of Solid Oxide Fuel Cells (SOFC))

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Abstract

Identification of ongoing processes in solid oxide fuel cells (SOFC) enables both optimizing the operating environment and prolonging the lifetime of SOFC. The Levenberg–Marquardt algorithm (LMA) is commonly used in the characterization of unknown electrochemical processes within SOFC by extracting equivalent electrical circuit (EEC) parameter values from electrochemical impedance spectroscopy (EIS) data. LMA is an iteration optimization algorithm regularly applied to solve complex nonlinear least square (CNLS) problems. The LMA convergence can be boosted by the application of an ordinary limit strategy, which avoids the occurrence of off-limit values during the fit. However, to additionally improve LMA descent properties and to discard the problem of a poor initial parameters choice, it is necessary to modify the ordinary limit strategy. In this work, we designed a new automatic update (i.e., adaptive) limit strategy whose purpose is to reduce the impact of a poor initial parameter choice. Consequently, the adaptive limit strategy was embedded in a newly developed EIS fitting engine. To demonstrate that the new adaptive (vs. ordinary) limit strategy is superior, we used it to solve several CNLS problems. The applicability of the adaptive limit strategy was also validated by analyzing experimental EIS data collected by using industrial-scale SOFCs. View Full-Text

Keywords: CNLS; LMA; off-limits; automatic limit strategy; processes

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MDPI and ACS Style

Žic, M.; Fajfar, I.; Subotić, V.; Pereverzyev, S.; Kunaver, M. Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg–Marquardt Algorithm: A New Automatic Update Limit Strategy. Processes 2021, 9, 108. https://doi.org/10.3390/pr9010108

AMA Style

Žic M, Fajfar I, Subotić V, Pereverzyev S, Kunaver M. Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg–Marquardt Algorithm: A New Automatic Update Limit Strategy. Processes. 2021; 9(1):108. https://doi.org/10.3390/pr9010108

Chicago/Turabian Style

Žic, Mark, Iztok Fajfar, Vanja Subotić, Sergei Pereverzyev, and Matevž Kunaver. 2021. "Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg–Marquardt Algorithm: A New Automatic Update Limit Strategy" Processes 9, no. 1: 108. https://doi.org/10.3390/pr9010108

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Investigation of Electrochemical Processes in Solid Oxide Fuel Cells by Modified Levenberg–Marquardt Algorithm: A New Automatic Update Limit Strategy

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