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Direct Access to the Optimal Regularization Parameter in Distribution of Relaxation Times Analysis
Author(s) -
Schlüter Nicolas,
Ernst Sabine,
Schröder Uwe
Publication year - 2020
Publication title -
chemelectrochem
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.182
H-Index - 59
ISSN - 2196-0216
DOI - 10.1002/celc.202000787
Subject(s) - tikhonov regularization , regularization (linguistics) , electrical impedance , mathematics , algorithm , computer science , mathematical optimization , mathematical analysis , inverse problem , physics , artificial intelligence , quantum mechanics
The distribution of times (DRT) method has become an important extension for electrochemical impedance investigations. Calculating the DRT is particularly advantageous for complex systems, as it yields an increased resolution in frequency domain. However, the determination of the DRT from experimental impedance data requires special mathematical effort. An often‐used method for the calculation of the DRT is the Tikhonov regularization. The quality of the result of this method depends on the choice of a suitable regularization parameter. This parameter has to be selected by the user. In a former work (N. Schlüter, S. Ernst, U. Schröder, ChemElectroChem 2019 , 6 , 6027–6037), we showed a method that helps to find the best regularization parameter for given impedance data. However, this test was based on repetitive impedance measurements, which have to be performed at least twice. In this paper, we optimize our previous method to assure the determination of an optimal regularization parameter from just one single impedance spectrum. Eventually, this revision saves measurement time and makes our test also applicable for less time stable measurements.