Abstract
In this paper, an optimal control scheme for wind turbine output torque and power regulation under the influence of wind disturbances is presented. The system considered is a dynamic mechanical-based model with pitch and generator torque actuators for controlling the pitch and generator torque. The performance of linear matrix inequality (LMI) formalism of linear quadratic regulator (LQR); linear quadratic regulator with integral action (LQRI) and model predictive control (MPC) were compared in response to a step change in wind disturbance. It is shown by Matlab simulation that the LQRI outperformed both LQR and MPC controllers.
Highlights
Wind energy is one of the primitive sources of energy
It is shown by Matlab simulation that the linear quadratic regulator with integral action (LQRI) outperformed both linear quadratic regulator (LQR) and model predictive control (MPC) controllers
According to [1], windmills were used in the USA in the 1930’s for electricity production and pumping of water and the first utility grid connected wind turbine was built by John Brown and Co. in 1951
Summary
Wind energy is one of the primitive sources of energy. The kinetic energy from the wind can be converted to mechanical energy using wind energy conversion systems. The operation of the VAWT is independent of the wind direction but has lower wind energy conversion efficiency and it is more susceptible to higher torque fluctuations and mechanical vibrations. It is commonly found in domestic/private installations where the energy demand is not so high. We contribute to the further development of control for a class of wind turbine systems by designing improved output torque and power regulation is face of wind disturbances. Linear quadratic control (LQR) design, for which we establish an LMI formalism yielding a static state-feedback gain. Simulation studies are performed for all the approaches yielding good performance results
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