“…Referring to the equation of power transfers, most of the controlling devices depend on variation of phase angle between the two buses of transmission line and its impedance [25], in this research an attention is closest on three categories, OPF methods with FACTS dvices, hybrid methods and multi-objective OPF, incorporating the last version of controlling devices (UPFC and IPFC) an OPF can be achieved without re-dispatching active power of generator [26], the IPFC has an effect on the voltage profile of the buses neighboring to the compensating bus [27], efficient for minimizing TL loss and reducing reactive power flow [28,29], and it is more efficient compared with UPFC for improving available transfer capability ATC of TL [26]. Many efforts had been done for modeling and simulation of FACTS devices with OPF study and their contribution circulating about the common targets for accelerating the convergence using modified models [30], and adaptive and flexible method [31], PSO is more efficient for solving optimization problems [32]. Moreover, OPF control method used to obtain the minimum of total required capacity of FACTS devices inserted in the system [33].…”