The unserved load in the Nigerian power system currently is as a result of the ever-growing gap between electric energy demand and supply which is one of the major causes of frequent power interruptions. Thus, stabilizing the network, equalization of the available electricity supply with the energy demand becomes necessary, of which demand side management (DSM) is a veritable tool being deployed to match the ever-growing energy demand with the available electricity supply. Consequently, this paper presents a concise overview of demand side management scheme and its modeling for matching electricity supply with the ever-growing energy demand in the Nigerian power system. The residential, commercial, industrial and special customers load in the network were used for the modeling and binary particle swarm optimization (BPSO) algorithm was adopted for optimizing the models. The load shifting technique was used to control and carried out load shifting during the peak period. Both customers and utility benefits were considered using the BPSO algorithm and the results showed that the technique can match the available electricity supply with the ever-growing energy demand.