Recently, a need for higher capacity and energy density for enhancing performance of lithium ion battery is increasingly demanded with commercial distributions of electric and hybrid vehicles. Computational analysis was performed on a porous structure of vanadium pentoxide cathode employing phase field model. An incipient model as a spherical structure with pores, which has a cylindrical shape, was designed. Modifying diameters and lengths of pore cylinder and the number of porous, we considered different conditions of porous vanadium pentoxide cathodes in order to analyze the effect on an amount of intercalated lithium ion to the cathodes. Then we optimized the porous structure to contain the largest amount of intercalated lithium ion during discharge.