Small signal modeling and stability analysis of wind turbine with PMSG connected to the grid

In this paper, a detailed mathematical model of wind turbine with direct drive permanent magnet synchronous generator (PMSG) with controllers connected to the grid is presented to derive a small signal stability model. PMSG is used with and without PI controller and tested for both cases to improve the system stability. Therefore, eigenvalues analysis based approaches have been studied to evaluate the stability problem. Afterward, the impact of the controller parameters on the eigenvalues evolution is investigated to improve the system stability under small disturbances of wind speeds.