I. Introduction
POWER QUALITY is an important consideration in the reliability and security of smart grids which is likely to be heavily impacted by the growth of Plug-in Electric Vehicles (PEV s) over the coming years [1]. In order to design and prepare smart grids for the adoption of PEV s, it is necessary to analyze the impacts that simultaneous PEV units charging including their charging schemes, durations and rates will have on performance and the power quality of smart grids. Specifically, the stresses imposed on local neighborhood circuits including distribution transformers, which are the weakest link in smart grids, needs to be ascertained.