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Interpretation of Impedance Spectra of Solid Oxide Fuel Cells: L-Curve Criterion for Determination of Regularization Parameter in Distribution Function of Relaxation Times Technique

  • Solid Oxide Fuel Cells: Recent Scientific and Technological Advancements
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Abstract

The distribution function of the relaxation times (DRT) technique is a powerful tool for the interpretation of impedance spectra of solid oxide fuel cells (SOFCs) because it enables direct identification of rate-limiting processes through mathematical calculations. Selection of an appropriate regularization parameter (λreg) is critical for obtaining meaningful deconvolution solutions in DRT analysis. Herein, we introduce an L-curve criterion as a reliable graphical tool for determination of the λreg value. In a parametric plot of log(solution norm) versus log(misfit norm), the λreg value at the corner of the L curve provides an optimum balance between the regularization error and perturbation error. In a case study on La0.6Sr0.4CoO3−δ-based cathodes, the DRT technique guided by the L-curve criterion enabled identification of rate-limiting processes and clarification of reaction pathways. The analytical methodology presented in this article provides guidelines for the effective use of the DRT technique for the impedance analysis of SOFCs.

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Acknowledgements

This research was supported by Technology Development Program to Solve Climate Changes through the National Research Foundation (NRF) of Korea funded by the Ministry of Science, ICT (NRF-2016M1A2A2940148) and the institutional research program of Korea Institute of Science and Technology (KIST).

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Authors and Affiliations

  1. High-Temperature Energy Materials Research Center, Korea Institute of Science and Technology, Hwarangno 14-gil 5, Seongbuk-Gu, Seoul, 136-791, Republic of Korea

    Moon-Bong Choi, Jisu Shin, Ho-Il Ji, Hyoungchul Kim, Ji-Won Son, Jong-Ho Lee, Byung-Kook Kim, Hae-Weon Lee & Kyung Joong Yoon

  2. Department of Energy Engineering, Hanyang University, Seoul, Republic of Korea

    Jisu Shin

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  1. Moon-Bong Choi
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Choi, MB., Shin, J., Ji, HI. et al. Interpretation of Impedance Spectra of Solid Oxide Fuel Cells: L-Curve Criterion for Determination of Regularization Parameter in Distribution Function of Relaxation Times Technique. JOM 71, 3825–3834 (2019). https://doi.org/10.1007/s11837-019-03762-8

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