In this paper, an algorithm inspired on the T-Cell model of the immune system is presented, it is used to solve Economic Dis- patch Problems with smooth objective function. The proposed approach is called IA EDP S, which stands for Immune Algorithm for Economic Dispatch Problem for smooth objective function, and it uses as differenti- ation process a redistribution power operator. The proposed approach is validated using five problems taken from the specialized literature. Our results are compared with respect to those obtained by several other approaches.