I. Introduction
With global warming and fossil fuel depletion, various electric vehicles (EVs) have drawn great attention from vehicle manufacturers, consumers, and governments as their advantages of lower carbon emissions and transportation costs [1]–[4]. Challenges introduced by the intensive use of plug-in EVs in distribution networks and the corresponding optimization method have been discussed in detail in the literatures [1]– [3]. In EVs, battery or supercapacitor strings have become one of the key components and they operate in charging and discharging modes alternately [5]. Battery or supercapacitor strings are usually made up of a large number of series-connected cells. Because of non-uniform individual cell properties, united operation of battery strings causes a small imbalance among cell voltages during charging and discharging periods. Overcharging, as well as deep discharging, will cause battery cells to be deteriorated forever or even worse, thereby affecting the operation and safety of the entire battery string [6]. The cell balancing, also known as voltage equalization, is therefore necessary to prevent this phenomenon and to prolong battery life [7].