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Recursive RC Modeling for Time-Domain Estimation of the Distribution of Relaxation Times

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00009425
URN to cite this document: urn:nbn:de:bvb:703-epub-9425-5

Title data

Malchau, Marvin ; Schmidt, Jan Philipp:
Recursive RC Modeling for Time-Domain Estimation of the Distribution of Relaxation Times.
In: Electrochimica Acta. Vol. 555 (2026) . - 148402.
ISSN 0013-4686
DOI der Verlagsversion: https://doi.org/10.1016/j.electacta.2026.148402

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Abstract

We propose a time-domain method for estimating the Distribution of Relaxation Times (DRT) in electrochemical systems based on a recursive RC modeling framework. By discretizing the system response via bilinear transformation, this approach enables direct reconstruction of the DRT from arbitrary current excitation signals, without relying on frequency-domain impedance data or predefined excitation profiles, as required by established methods such as pulse-fitting. The method integrates multiple electrochemical contributions into a unified linear model and solves the resulting inverse problem using nonnegative least squares with Tikhonov regularization. Validation with synthetic and experimental data demonstrates high accuracy, numerical stability, and excellent agreement with conventional impedance spectroscopy. The approach significantly reduces measurement time, especially in the low-frequency regime, and offers robust performance under realistic noise conditions.

Further data

Item Type: Article in a journal
Keywords: Lithium-Ion; DRT; EIS; Time-Domain; Modeling
DDC Subjects: 600 Technology, medicine, applied sciences > 620 Engineering
Institutions of the University: Faculties > Faculty of Engineering Science > Chair Systems Engineering for Electrical Energy Storage > Chair Systems Engineering for Electrical Energy Storage - Univ.-Prof. Dr.-Ing. Jan Philipp Schmidt
Research Institutions > Central research institutes > Bayerisches Zentrum für Batterietechnik - BayBatt
Faculties
Faculties > Faculty of Engineering Science
Faculties > Faculty of Engineering Science > Chair Systems Engineering for Electrical Energy Storage
Research Institutions
Research Institutions > Central research institutes
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-9425-5
Date Deposited: 16 Jun 2026 10:08
Last Modified: 16 Jun 2026 10:09
URI: https://epub.uni-bayreuth.de/id/eprint/9425

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