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On a variation of the Tikhonov regularization method for calculating the distribution function of relaxation times in impedance spectroscopy
Electrochimica Acta ( IF 5.5 ) Pub Date : 2020-07-06 , DOI: 10.1016/j.electacta.2020.136683
A.L. Gavrilyuk , D.A. Osinkin , D.I. Bronin

In a recent paper of Zhang et al. (2016) a variation of the Tikhonov regularization method for calculating the distribution of relaxation times (DRT) in relation to analysis of the electrochemical impedance spectroscopy data has been proposed. The novelty of the proposed method is that it is free from the regularization parameter, the adjusting of which usually causes the main issue when applying the Tikhonov regularization method. In the present paper, we investigate by means of numerical experiments the frequency resolution of the method by Zhang et al. and its robustness to resist noise embedded in the impedance spectra. In doing so, we also consider how changing certain matrices used in the method affects the results. In addition, the DRT function calculation for a real electrochemical object by means of this new approach is shown.



中文翻译:

关于Tikhonov正则化方法的一种变化形式,用于计算阻抗谱中弛豫时间的分布函数

在Zhang等人的最新论文中。(2016)提出了一种Tikhonov正则化方法的变化形式,用于计算相对于电化学阻抗谱数据的分析的弛豫时间(DRT)的分布。所提出的方法的新颖性在于它没有正则化参数,在应用Tikhonov正则化方法时,其调整通常会引起主要问题。在本文中,我们通过数值实验研究了Zhang等人方法的频率分辨率。以及抵抗阻抗谱中嵌入的噪声的鲁棒性。这样做时,我们还考虑了更改方法中使用的某些矩阵如何影响结果。此外,还显示了通过这种新方法对实际电化学对象的DRT函数计算。

更新日期:2020-07-17
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