H∞ control of a doubly fed asynchronous machine

The doubly fed asynchronous machine is among the most used electrical machines due to its low cost, simplicity of construction and maintenance. In this paper, we present a method to synthesize a robust controller of doubly fed asynchronous machine which is the main component of the wind turbine system (actually the most used model), indeed : there is different challenges in the control of the wind energy systems and we have to take in a count a several parameters that perturb the system as: the wind speed variation, the consumption variation of the electricity energy and the kind of the power consumed (active or reactive) ...etc. The method proposed is based on the H_∞ control problem with the linear matrix inequalities (LMI´s) solution: Gahinet-Akparian, the results show the stability and the performance robustness of the system in spite of the perturbations mentioned before.