Enhanced tracking of reference speed and aerodynamic performance through fractional PI control: comparison with conventional PI
Abdelfatah EL OUADIKI, Mohammed TAOUSSI, Mohammed ES-SALMI
Abstract. Wind energy is now one of the major solutions for addressing energy and environmental challenges. Due to rapid and random fluctuations in wind speed, ensuring maximum power extraction remains a technological challenge. In this work, we compare the classic integral proportional regulator a the fractional FOPI controller by MPPT strategy of a wind turbine. Simulations using MATLAB/Simulink demonstrate that FOPI improves dynamic and steady-state performance from 0.035% to 0.015%, response time from 0.025 s to 0.002 s, and overshoot from 3.8% to 2.0%. It also keeps the maximum power coefficient Cp closer to its optimum. In addition, the FOPI controller offers better stability, accuracy, and robustness in tracking the TSR.
Keywords
Wind Power, MPPT, DFIG, PI Control, FOPI Control, Variable Wind Turbine, Renewable Energy Systems, MATLAB/Simulink
Published online 4/25/2026, 8 pages
Copyright © 2026 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Abdelfatah EL OUADIKI, Mohammed TAOUSSI, Mohammed ES-SALMI, Enhanced tracking of reference speed and aerodynamic performance through fractional PI control: comparison with conventional PI, Materials Research Proceedings, Vol. 64, pp 156-163, 2026
DOI: https://doi.org/10.21741/9781644904091-19
The article was published as article 19 of the book Energy Futures
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] El Mourabit Y, Derouich A, El Ghzizal A, El Ouanjli N and Zamzoum O 2020 Nonlinear backstepping control for PMSG wind turbine used on the real wind profile of the Dakhla‐Morocco city Int Trans Electr Energ Syst 30 https://doi.org/10.1002/2050-7038.12297
[2] Ackermann T 2012 Wind power in power systems (John Wiley & Sons) https://doi.org/10.1002/9781119941842
[3] Balasundar C, Sudharshanan S and Elakkiyavendan R 2015 Design of an optimal tip speed ratio control MPPT algorithm for standalone WECS Int. J. Res. Appl. Sci. Eng. Technol 3
[4] Guo H, Qiu T and Jiang J 2012 Design of fuzzy controller for direct drive wind turbines J. Shanghai Jiaotong Univ. (Sci.) 17 209-14 https://doi.org/10.1007/s12204-012-1254-4
[5] Koutroulis E and Kalaitzakis K 2006 Design of a maximum power tracking system for wind-energy-conversion applications IEEE transactions on industrial electronics 53 486-94 https://doi.org/10.1109/TIE.2006.870658
[6] Sabzevari S, Karimpour A, Monfared M and Naghibi Sistani M B 2017 MPPT control of wind turbines by direct adaptive fuzzy-PI controller and using ANN-PSO wind speed estimator Journal of Renewable and Sustainable Energy 9 https://doi.org/10.1063/1.4973447
[7] Es-Salmi M, Taoussi M, El Ouadiki A and Derouich A 2024 Optimizing Direct Power Control of Variable Speed Wind Turbine Systems Using Genetic Algorithms and Space Vector Modulation 2024 3rd International Conference on Embedded Systems and Artificial Intelligence (ESAI) (IEEE) pp 1-8 https://doi.org/10.1109/ESAI62891.2024.10913888
[8] Taoussi M, Karim M, Hammoumi D, El Bekkali C, Bossoufi B and El Ouanjli N 2017 Comparative study between Backstepping adaptive and Field-oriented control of the DFIG applied to wind turbines 2017 International Conference on Advanced Technologies for Signal and Image Processing (ATSIP) (IEEE) pp 1-6 https://doi.org/10.1109/ATSIP.2017.8075592
[9] Taoussi M, Karim M, Bossoufi B, Hammoumi D, Lagrioui A and Derouich A 2016 Speed variable adaptive backstepping control of the doubly-fed induction machine drive IJAAC 10 12 https://doi.org/10.1504/IJAAC.2016.075140
[10] El Ouadiki A, Taoussi M and Es-Salmi M 2025 A robust maximum power point tracking from wind turbines using fractional order PI controller E3S Web of Conferences vol 680 (EDP Sciences) p 00034 https://doi.org/10.1051/e3sconf/202568000034
[11] Benbouhenni H, Hamza G, Oproescu M, Bizon N, Thounthong P and Colak I 2024 Application of fractional-order synergetic-proportional integral controller based on PSO algorithm to improve the output power of the wind turbine power system Scientific Reports 14 609 https://doi.org/10.1038/s41598-024-51156-x
[12] Nadour M, Essadki A and Nasser T 2017 Comparative analysis between PI & backstepping control strategies of DFIG driven by wind turbine International Journal of Renewable Energy Research 7 1307-16
[13] Yessef M, Bossoufi B, Taoussi M, Lagrioui A and Chojaa H 2022 Overview of control strategies for wind turbines: ANNC, FLC, SMC, BSC, and PI controllers Wind Engineering 46 1820-37 https://doi.org/10.1177/0309524X221109512
[14] Chen Q, Wang L, Sun Y, Xie S and Wang R 2024 Adaptive integral sliding mode MPPT control for wind turbines with fixed‐time convergence 18 4265-76 https://doi.org/10.1049/rpg2.12935
