This paper is the second part of a two part study on parameter estimation of Li-ion batteries. The methodology was developed in Part I. In Part II, the methodology is tested for LiCoO2, LiMn2O4 and LiFePO4 positive electrode materials. An inverse method combined to a simplified version of the Pseudo-two-Dimensional (P2D) model is used to identify the solid diffusion coefficients (D-s,D-n and D-s,D-p), the intercalation/deintercalation reaction-rate constants (K-n and K-p), the initial SOC (SOCn,0 and SOCp,0), and the electroactive surface areas (S-n and S-p) of Li-ion batteries. Experimental cell potentials for both low and high discharge rates provide the reference data for minimizing the objective function in the best time interval. For all cases simulated, the numerical predictions show excellent agreement with the experimental data. (C) The Author(s) 2016. Published by ECS. This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 License All rights reserved.