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Article

Fractional-Order Nonlinear PI Control for Tracking Wind Direction in Large Wind Energy Converters

Institute for Wind Energy Systems, Leibniz University Hannover, Appelstr. 9A, 30167 Hannover, Germany
Machines 2025, 13(12), 1150; https://doi.org/10.3390/machines13121150
Submission received: 14 November 2025 / Revised: 11 December 2025 / Accepted: 15 December 2025 / Published: 17 December 2025
(This article belongs to the Section Automation and Control Systems)

Abstract

In this work, the yaw control of large wind turbines is studied. The objective is to analyse how to maximise energy conversion by yawing the rotor in response to wind direction while minimising yaw activity. In order to improve the control performance, three algorithms are used and compared: the classic PI controller, the nonlinear PI controller, and the fractional-order nonlinear PI controller. An adaptive dead-zone and anti-windup procedure for amplitude- and rate-limited actuators are also considered, which helps to reach the main objective. Simulation experiments are carried out on a 20 MW reference wind turbine. The results are very promising, showing clear performance improvements.
Keywords: fractional calculus; fractional-order control; nonlinear PID; wind turbine control; yaw control fractional calculus; fractional-order control; nonlinear PID; wind turbine control; yaw control

Share and Cite

MDPI and ACS Style

Gambier, A. Fractional-Order Nonlinear PI Control for Tracking Wind Direction in Large Wind Energy Converters. Machines 2025, 13, 1150. https://doi.org/10.3390/machines13121150

AMA Style

Gambier A. Fractional-Order Nonlinear PI Control for Tracking Wind Direction in Large Wind Energy Converters. Machines. 2025; 13(12):1150. https://doi.org/10.3390/machines13121150

Chicago/Turabian Style

Gambier, Adrian. 2025. "Fractional-Order Nonlinear PI Control for Tracking Wind Direction in Large Wind Energy Converters" Machines 13, no. 12: 1150. https://doi.org/10.3390/machines13121150

APA Style

Gambier, A. (2025). Fractional-Order Nonlinear PI Control for Tracking Wind Direction in Large Wind Energy Converters. Machines, 13(12), 1150. https://doi.org/10.3390/machines13121150

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