In the literature, many papers consider a constant value of the battery power profile while charging Plug-in Electric Vehicles (PEVs). In fact, the battery power profile is not constant; it varies depending on the energy present in the battery. When the State Of Charge of the battery is low, the charging power profile has the highest value. It starts to decline when the battery is approaching its full energy capacity. The consideration of a constant battery power profile may create inaccuracy in the optimization results and lead to eventual instability on the distribution network. Therefore, in this paper, we are going to study the impact of considering or not considering the variable battery power profile on the distribution network and on the end-user financial profits. Simulations are done with OpenDSS and MATLAB using IEEE 13 distribution test feeder.