Computation of distribution of relaxation times by Tikhonov regularization for Li ion batteries: usage of L-curve method.

ABSTRACT: In this paper, the distribution of relaxation times (DRTs) functions are calculated numerically in Matlab for synthetic impedance data from single parallel [Formula: see text] circuit and two parallel [Formula: see text] circuits connected in series, experimental impedance data from supercapacitors and α-LiFeO₂ anode based Li ion batteries. The quality of the impedance data is checked with the Kramers-Krönig (KK) relations. The DRTs are calculated within the KK compatible regime for all the systems using Tikhonov regularization (TR) method. Here we use a fast and simple L-curve method to estimate the TR parameter (λ) for regularization of the Fredholm integral equations of first kind in impedance. Estimation of the regularization parameters are performed effectively from the off

SUBMITTER: Paul T 

PROVIDER: S-EPMC8209233 | biostudies-literature | 2021 Jun

REPOSITORIES: biostudies-literature