Adaptive Control of Flow Over Rotating Wind Turbine Blades Using the Beddoes-Leishman Dynamic Stall Model

A new control problem arises with unsteady flow over large-sized wind turbine blades, bringing a control issue for periodic time-varying systems (PTS). The plant is treated as a pitch and plunge system coupling with the Beddoes-Leishman stall model and Adaptive Control is used to overcome the fluctuation brought by periodic fluctuations of the flow. Floquet Theory is introduced for stability assessment using Runge-Kutta Method. A time-varying version of the adaptive control stability theorem is established. The theorem is demonstrated theoretically and numerically.