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 [1]. 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 [2]), 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 [3], the results show the stability and the performance robustness of the system in spite of the perturbations mentioned before.