Hamiltonian model-based H∞ control of chaos in permanent magnet synchronous generators for wind power systems

Aiming at chaos in the wind turbine systems, the H infinity control strategy is presented based on the Hamiltonian model, which makes systems disengage chaos and operate stably. Firstly, the permanent magnet synchronous generator of wind power system is transformed into a model which is similar to a Lorenz-like classical mathematic model through a series of transforms, and demonstrates existing chaos phenomena when its parameter values are in a certain range. Then, the Hamiltonian model of chaos system is established by taking full advantage of the physics structure of wind power system without the compensation of workless forces. Moreover, an H infinity controller is investigated under the external disturbance. This controller is not only simple but also can reflect the interior structure and dynamic characteristics of system. The proposed strategy proves to be valid by simulations.