This research paper study the performance of distance relays setting based analytic (AM) and artificial neural network (ANN) method for a 400 kV high voltage transmission line in Eastern Algerian transmission networks at Sonelgaz Group co mpensated by series Flexib le A C Transmission System (FACTS) i.e. Thyristor Controlled Series Reactor (TCSR) connected at midpoint of the electrical trans mission line. The facts are used for controlling transmission voltage, power flow, reactive power, and damping of power system oscillat ions in high power transfer levels. This paper studies the effects of TCSR insertion on the total impedance of a transmission line protected by distance relay and the modified setting zone protection in capacitive and inductive boost mode for three zones. Two different techniques have been investigated in order to prevent circuit breaker nuisance tripping to improve the performances of the d istance relay protection.