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Battery Energy Storage Systems (BESS) can be used for peak load shaving and load leveling apart from other potential applications in low voltage unbalance distribution networks. This paper proposes a simple approach for phase-wise day-ahead dispatch of BESS with the main objective of peak load shaving and secondary objective of load leveling. The first stage of the exercise identifies up to six Characteristic Daily Load Profiles (CDLPs) in each phase to represent the most frequently occurring patterns of load profiles. The CDLPs are then processed with a three-stage discharge-recharge allocation algorithm. The results obtained with phase-wise dispatch strategy show benefits of this approach in unbalance distribution networks in terms of better peak load shaving and load leveling. The work presented in this article is a part of an on-going work on real-time multi-objective dispatch of BESS in microgrid environment with distributed generators.