Thermal and state-of-charge imbalance is a well known issue to cause nonuniform ageing in batteries. The modular battery based on cascaded converters is a potential solution to this problem. This paper presents bipolar control (BPC) of a modular battery and compares it with previously proposed unipolar control (UPC) mode in terms of thermal/SOC balancing performance and energy efficiency. The BPC needs four-quadrant operation of full-bridge converter using bipolar pulse-width modulation (PWM) inside each module, whereas UPC only needs half-bridge converter with unipolar PWM. The BPC, unlike UPC, enables charging of some cells while discharging others. An averaged state-space electro-thermal battery model is derived for a convex formulation of the balancing control problem. The control problem is formulated on a constrained LQ form and solved in a model predictive control framework using one-step ahead prediction. The simulation results show that BPC, without even requiring load current variations, gives better balancing performance than UPC, but at the cost of reduced efficiency. The UPC requires at least current direction reversal for acceptable balancing performance. In short, the UPC is a more cost and energy efficient solution for EV and PHEV applications whereas the BPC can be beneficial in applications involving load cycles with high current pulses of long duration. Index Terms-Modular battery, SOC balancing, thermal balancing, multilevel converters, averaging, model predictive control. I. INTRODUCTION The electrification and hybridization of vehicle powertrain is being vastly adopted by automotive industry to increase fuel efficiency and to meet ever decreasing exhaust emission limits. The Lithium-ion battery is one of the major alternative power sources currently being considered for this purpose. The battery pack of these electrified/hybridized vehicles (xEVs) is one of the most expensive, but a key component in the powertrain. Therefore, the battery lifetime is an important factor for the success of xEVs. The conventional battery system in xEVs consists of long string of series connected modules along with dc/dc converter for dc-link voltage regulation as shown in Fig. 1. Due to the fixed series connection, the same current passes through all the modules. This is a socalled uniform duty operation (UDO) of cells. If modules have nonuniform state-of-health (parametric variations) then they may suffer from unequal stress and energy drain under