Controlling the Meandering Wake Using Measurement Feedback

Parul Singh, Peter Seiler

Abstract: In this paper we design and analyze a measurement feedback H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> controller to reduce the wake meandering behind a wind turbine. The control design and analysis proceeds in two steps. First, a linear reduced order model of the turbine is obtained using snapshots from a higher-order nonlinear 2D actuator disk model. The higher-order model includes a disturbance precursor generated to model realistic disturbance and turbulence scales. A measurement feedback H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> controller is then designed for the reduced order linear model assuming access to measurements at 8 downstream locations and the disturbance. The downstream measurement points are determined using insights from a static controller designed using full information of the wind field and incoming disturbances. The control performance is evaluated by simulations on the higher-order nonlinear model.