This paper is aimed at investigating the steady state analysis of a grid connected PMSG wind turbine in fixed and variable speed using MATLAB/SIMULINK. The case studied is Zafarana, Egypt. The average values of wind speed of month and day of Zafarana region is obtained from NASA site. Zafarana region has the highest wind speed which is greater than 12 m/sec. The transient analysis is investigated of the grid connected PMSG wind turbine during three-phase-to-ground fault at terminal of grid in different fault time and islanding mode. PMSG wind turbine is based on low-voltage ride-through (LVRT). The time required for recovering pre-fault values of voltage and current is less than 0.1 sec. LVRT is used to protect wind turbine from high fault current as well as to compensate PMSG voltage. PMSG is loaded by converter and capacitor which work as STATCOM. The current protection device is used to limit the fault current where the tripping current of relay is calculated using IEC method. The PMSG wind turbine consists of three protection devices; over speed protection, LVRT and point connection circuit breaker CEI. There are three protection zones in terms of the fault of; the protection zone of the fault of wind turbine (Zone 1), the protection zone of the fault of wind farm (Zone 2), the protection zone of the fault of grid (Zone 3).