Non-linear Synergetic Funnel Control of wind turbine

Abstract

This research proposes two new methods that combine Funnel Control (FC) and Synergetic Control (Snc) to improve the performance and stability of wind energy systems. These techniques aim to achieve precise control objectives, such as accurate trajectory tracking with prescribed transient accuracy, by merging the inherent properties of FC and Snc. The novelty lies in the innovative integration of FC with Snc, addressing key challenges like transient load mitigation and precise trajectory tracking, which are not fully resolved by conventional methods. The key innovation is the introduction of a new macro-variable for Snc, inspired by FC principles and PI controllers, providing enhanced adaptability and robustness. The proposed methods are applied to a wind turbine using MATLAB/Simulink simulations. Key performance indicators, including relative error, rise time, settling time, and control effort, are evaluated and compared. The proposed controllers, FC-Snc and FC Nonlinear-Snc, outperform existing methods, reducing tracking errors and achieving faster convergence. Simulation results demonstrate their superior tracking accuracy, noise resistance, and disturbance rejection. Additionally, the analysis of power coefficient behavior and control input dynamics highlights the operational efficiency and transient load mitigation of the proposed controllers. This study showcases the effectiveness of FC-Snc and FC Nonlinear-Snc in enhancing wind energy system performance.