Study of optimal control applied to a Doubly Fed Induction Generator attached to wind turbine system

This paper studies the optimal control by implementing the quadratic linear regulator (LQR) for a Doubly Fed Induction Generator (DFIG) attached to wind turbine system. The advantages of using the LQR regulator is to obtain, firstly, a speed regulation allowing a maximum extraction of the power of the wind turbine and secondly, a regulation of the DC bus voltage so that the machine maintain a unit power factor for the converter-side mains and pulls magnetizing current from the stator. Essentially, standard LQR regulator provides proportional gains. This makes it possible to study the stability of the system.