Nonlinear Control of a Wind Turbine System Connected to the Grid

This paper addresses the control problem of interconnecting a wind system based on a Permanent Magnet Synchronous Generator (PMSG) with the electrical grid. The control objectives include: (i) Regulating the PMSG speed to extract maximum power; (ii) Controlling the machine -side currents; (iii) Regulating the DC bus voltage; (iv) Ensuring Power Factor Correction (PFC) at the grid connection.The resolution of this control problem is based on the control of two loops on each side (machine and grid). This nonlinear control uses the Backstepping strategy for the inner loop on the machine side to regulate the currents, while the outer loop is for the speed regulation of the machine. On the grid side, the inner loop is for the current regulation to control the PFC, and the outer loop is for the regulation of the DC bus voltage. Simulation results demonstrate the effectiveness of this control strategy under various conditions, showing precise regulation and high-quality energy production.