In literature, different approaches have been proposed to tackle the anomalous solid-state diffusion impedance in LIBs. Orazem et al. has achieved good fitting results by introducing fractal finite-length Warburg (f-FLW) model (also known as generalized finite-length Warburg,GFLW ) in the electrical equivalent circuit model (EECM). The fractal Warburg model is developed based on the mathematical description from Bisquert and Compte . The underlying physical interpretation can be associated with non-Fickian diffusion with the presence of dissipative processes such as trapping and/or recombination in a disordered media . Macdonald et.al proposed a more robust theoretical framework of f-FLW based on Poisson Nernst Planck equations, but its application to battery systems has not yet been explored. In general, f-FLW model can be nicely fitted to the anomalous diffusion impedance of LIBs, however it has not been extensively adopted by battery researchers. Further experimental validation on LIBs is needed, along with more accessible methods for determining or extracting the relevant physical parameters.