This paper presents analytical study and simulation results of a grid-connected doubly fed induction machine for wind applications. The modelling of the system considers machine side converter and its control strategy. In order to decouple the active and reactive powers generated, stator-flux-oriented vector control method is applied. Subsynchronous and supersynchronous operating conditions were simulated. Controllers design methodology is presented and active and reactive powers control was verified. The Matlab/Simulink software was used for the simulation purpose. Different operating conditions of a 7.5 kW generator are investigated to validate the effectiveness of control circuit.