Abstract: In this paper, a generalized Lagrangian-based algorithm (TRALM) and gravitational search algorithm (GSA) are used to solve the Optimal Load Distribution Problem (OPF) in the presence of FACTS equipment. Four TCSC, TCPST UPFC and SVC equipment’s have been tested. Modeling of FACTS equipment is based on power injection method. To optimally manage production, losses and voltage profiles,...