The Use of Tikhonov Regularization Method for Calculating the Distribution Function of Relaxation Times in Impedance Spectroscopy / Gavrilyuk A. L.,Osinkin D. A.,Bronin D. I. // RUSSIAN JOURNAL OF ELECTROCHEMISTRY. - 2017. - V. 53, l. 6. - P. 575-588.

ISSN/EISSN:

1023-1935 / 1608-3342

Type:

Article

Abstract:

The state-of-the-art in realization of the method of distribution of relaxation times (DRT) as applied to the analysis of data of electrochemical impedance spectroscopy is briefly surveyed. The theoretical fundamentals of the DRT method are described, the methods of solving the Fredholm equation of the 1st order with respect to the unknown DRT function are considered as an ill-defined problem. The Tikhonov regularization method presently considered as the most suitable for solving this equation is discussed. For several numerical experiments, the high resolution of the DRT method and its stability with respect to noise in impedance spectra are demonstrated. Among the problems and limitations of the DRT methods, the choice of the optimal regularization coefficient is considered as the most significant. Particularly, it is shown that in those cases where several relaxation processes with the constant phase angle appear in the response of objects under study to ac disturbances, different regularization coefficients should be selected for each of these elements in order to obtain adequate results.

Author keywords:

distribution of relaxation times; DRT; impedance; Tikhonov regularization OXIDE FUEL-CELLS; NONINDUCTIVE SYSTEMS; MAXIMUM-ENTROPY; DECONVOLUTION; SPECTRA; BATTERIES

DOI:

10.1134/S1023193517060040

Web of Science ID:

ISI:000405583400003

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUN
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1608-3342
Keywords-Plus	OXIDE FUEL-CELLS; NONINDUCTIVE SYSTEMS; MAXIMUM-ENTROPY; DECONVOLUTION; SPECTRA; BATTERIES
Research-Areas	Electrochemistry
Web-of-Science-Categories	Electrochemistry
Author-Email	OsinkinDA@mail.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}16-0300434]; Program 211 of the Government of the Russian Federation {[}02.A03.21.0006]
Funding-Text	We are grateful to B.L. Kuzin for initiating this study and also to A.L. Ageev for valuable remarks. The study was carried out with the partial support by the Russian Foundation for Basic Research (grant 16-0300434) and the Program 211 of the Government of the Russian Federation (contract no. 02.A03.21.0006).
Number-of-Cited-References	39
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	2
Journal-ISO	Russ. J. Electrochem.
Doc-Delivery-Number	FA6VU