The need for clean and stable electricity has given rise to renewable energy globally. Currently, Wind Energy generation is one the leading renewable energy sources and DFIG-based wind turbine are invariably the best approach to generate a multi-megawatts power at variable speed with less fluctuation in output power, ability to control its generated active and reactive power with minimal cost. This paper presents a model of a grid connected DFIG based Wind Turbine system for variable- speed where the speed range requirements are small, the overall system simulated using MATLAB/SIMULINK and the results shows the behaviour of DFIG with this type of control system and the numerous advantages in terms of cost reduction and the potential to build economically at multi-megawatt power system, as a result, DFIG grid connected wind turbine is essential.