I. Introduction
In recent years deregulation and reconstruction of power systems introduce new challenges for electricity providers and consumers, challenges which didn't receive any attention before. Now all transmission providers agree to use transmission lines near their limit conditions, but there are many limitations to do that; the most important is stability and voltage lower and upper limitations, thermal limitation is considerable. Due to physical constraints on circuit impedance and phase angle of nodal voltage, most high voltage transmission lines are operating below their thermal ratings [1]. For the first time in 1991, FACTS devices were used in transmission lines. They had great effects on operation of transmission systems, deserving voltage constraints, thermal constraints and stability [2].