One of the control strategies of DVR (Dynamic Voltage Restorer) is minimum energy control strategy which is explained in this paper. The main duty of power system is to supply their customers a uninterruptable power supply at all the times, but in practice it is not happening. However, the total power system is the large network which contains different types of loads at the same point of common coupling (PCC) in which some of the loads like sensitive loads (e.g. devices in medical labs), in which voltage sag/swell or unbalances in the supply are highly undesirable. There the need of custom power devices like DVR and some FACTS devices can be seen. The operation of DVR with voltage sag, swell and unbalance is analyzed in this paper. Also THD of supply voltage, supply current and load voltage is analyzed in the case of unbalanced supply is provided to the load for which a constant supply is required. In this paper the working of DVR with minimal energy controls strategy is analyzed by using MATLAB/SIMULNK.