This paper presents modeling and simulation of direct driven permanent magnet generator (PMG) employed in wind energy conversion systems (WECS). The simulation of wind turbine and gridconnected-PMG is implemented under MATLAB-SIMLINK environment to study the system performance. In order to connect the PMG with the grid, set of full-scale converters are used. These converters consist of back-to-back voltage source inverters (generator side inverter and grid side inverter) connected through DC-link capacitor. This capacitor decouples the two inverters, allowing two separate control systems applied to them. In view of inverters control, firstly they are controlled using of proportional-integral (PI) control systems. The simulation results are obtained using this control strategy under different disturbances. Also, the design of fuzzy logic controllers (FLCs) instead of PI controllers is investigated. Simulation results show that the proposed FLC scheme is more effective for enhancing the stability of wind farms connected to grid during temporary network disturbances and randomly fluctuating wind speed compared with conventional PI controllers. This study introduces a better understanding of the real behavior and highlights the features of controlling PMGs in order to get better utilization of wind energy resources in the near future.