Design Tradeoffs of Wind Turbine Preview Control

Abstract

Recent work has demonstrated the benefits of preview wind measurements for turbine control. This paper investigates the basic design trade-offs between turbine performance, preview time, and pitch actuator rate limits. A Region 3 rotorspeed tracking problem is formulated in continuous-time as an optimal control problem using a simple one-state rigid body turbine model. The exact, analytical solution to this problem provides insight into the fundamental performance limits. These analytical results are compared with the performance of an H∞ preview controller simulated on a higher fidelity, nonlinear turbine model with realistic wind sensor models. The performance versus preview time characteristics of the H∞ controllers are in agreement with the predictions from the lower fidelity model. Thus the analytical results obtained with the low-order model can provide design guidelines for the use of preview information in turbine control.

Optimal preview control: A review

“…The current decade literature has presented new structure, systems, and generalizations in the design of preview control. The solution to preview control design problem is proposed for nonminimum phase systems, linear descriptor discrete‐time systems, and systems with stochastic parameter uncertainties . The classical solution of H ∞ preview control design is generalized for both previewable and unpreviewable disturbances, also .…”

“…Kristalny et al has proposed a frequency‐domain‐based solution for preview control that is beneficial as the equations framed does not depend on preview length. This approach is extended to include the distortion model in the problem formulation and is presented for wind turbine towers .…”

“…Akbas et al have presented the zero moment point (ZMP) stability criterion and preview control‐based technique for quadruped robots with different gait types. The classical H 2 and H ∞ ‐based preview control is designed for biped robots , turbine control , ADAS , and linear continuous time‐invariant retarded systems with stochastic parameter uncertainties , linear servomechanism , flexible missile , human centered lane keeping assistance system , and hydraulic active suspension .The results derived are dependent on the choice of parameters namely γ , η , Q , and R . The choice of Q and R are as per the design requirements, whereas the choice of γ and η strongly affects the solution.…”

Optimal preview control for a class of continuous time-invariant descriptor systems

“…Many interesting results have been reported [1][2][3]. Applications of the preview control have been found in many areas such as active vehicle suspensions, robotics, and wind turbines [4][5][6][7].…”

H∞ Preview Control of A Class of Uncertain Discrete‐Time Systems

“…Finally an optimal preview controller was obtained by the extremum principle. Due to decades of research, preview control not only has made a major theoretical breakthrough (e.g., preview control theory of multirate systems, time-varying systems, continuous-time stochastic systems, and so on [4][5][6][7]), but it also has been used successfully in many other areas [8][9][10].…”