ree&pqj2

 
NSGA-II Optimization Framework for Multi-Criteria Individual Pitch Control Design in Floating Offshore Wind Turbines

Lei Ren(1), Matilde Santos(2), Xin Cai(1) and J. Enrique Sierra-Garcia(3)

1. College of Mechanics and Engineering Science, Hohai University
Nanjing, China.
2 Institute of Knowledge Technology, Complutense University of Madrid,
Madrid, Spain.
3 Systems Engineering and Automation, University of Burgos, Burgos, Spain.


ftf

2026-06-27

im5

Abstract

The effective implementation of Individual PitchControl (IPC) is crucial for mitigating structural loads and platform motions in floating offshore wind turbines (FOWTs), yet the tuning of its controller parameters presents a complex multi-objective challenge. This study proposes a systematic optimization framework to address this issue. A multi-objective optimization problem is formulated with the goal of simultaneously minimizing blade root fatigue loads, power fluctuations, and pitch actuator duty. The Non-dominated Sorting Genetic Algorithm II (NSGA-II) is employed to identify the Pareto-optimal set of proportional-integral (PI) gains for the IPC system. Time-domain simulations of a reference FOWT model demonstrate that all optimized control strategies significantly outperform conventional collective pitch control, achieving a reduction of up to 27.6% in blade root load fluctuations and improved platform stability. Among them, the balanced strategy derived from the Pareto front offers the most favourable overall trade-off, providing substantial load reduction with reasonable actuator activity. The results validate the proposed framework as an effective tool for the design of high-performance IPC systems for FOWTs.

Key words: Floating Offshore Wind Turbines, Individual Pitch Control, Multi-Objective Optimization, NSGA-II, Pareto front, Load Reduction

Published in: Renewable Energies, Environment & Power Quality Journal (REE&PQJ)
ISSUE: Vol. 26. No.2 Pages: 197-202
E-ISSN: 3020-531 X Date of Current Version: 2026-06-27
REF: 273-26 Issue Date: 2026-07-15
DOI:10.24084/reepqj26-273 Publisher: AEDERMACP/ EA4EPQ

References

[1] J. G. Njiri and D. Söffker, “State-of-the-art in wind turbine control: Trends and challenges,” Renew. Sustain. Energy Rev., vol. 60, pp. 377–393, Jul. 2016, doi: 10.1016/j.rser.2016.01.110.

[2] D. Bai, B. Wang, Y. Li, and W. Wang, “Study on load reduction and vibration control strategies for semi-submersible offshore wind turbines,” Sci. Rep., vol. 15, p. 1148, Jan. 2025, doi: 10.1038/s41598-025-85476-3.

[3] H. Namik and K. Stol, “Individual blade pitch control of floating offshore wind turbines,” Wind Energy, vol. 13, no. 1, pp. 74–85, 2010, doi: 10.1002/we.332.

[4] A. Eskandari, R. Vatankhah, and E. Azadi, “Optimization of wind energy extraction for variable speed wind turbines using fuzzy backstepping sliding mode control based on multi objective PSO,” Ocean Eng., vol. 285, p. 115378, Oct. 2023, doi: 10.1016/j.oceaneng.2023.115378.

[5] S.-J. Jiang, S.-C. Chu, F.-M. Zou, J. Shan, S.-G. Zheng, and J.-S. Pan, “A parallel Archimedes optimization algorithm based on Taguchi method for application in the control of variable pitch wind turbine,” Math. Comput. Simul., vol. 203, pp. 306–327, Jan. 2023, doi: 10.1016/j.matcom.2022.06.027.

[6] G. Li and T.-C. Chen, “Multi-objective mathematical model for optimal wind turbine placement in wind farm under uncertainty,” J. Eng. Res., vol. 13, no. 4, pp. 3249–3259, Dec. 2025, doi: 10.1016/j.jer.2024.09.014.

[7] L. Xiaoqing, D. Haiying, L. Hongwei, L. Mingxue, and S. Zhiqiang, “Optimization Control of Front-End Speed Regulation (FESR) Wind Turbine Based on Improved NSGA-II,” IEEE Access, vol. 7, pp. 45583–45593, 2019, doi: 10.1109/ACCESS.2019.2908995.

[8] C. Allen et al., “Definition of the UMaine VolturnUS-S reference platform developed for the IEA wind 15-megawatt offshore reference wind turbine,” National Renewable Energy Lab.(NREL), Golden, CO (United States); Univ. of …, 2020. doi: 10.2172/1660012.

[9] K. Selvam, S. Kanev, J. W. van Wingerden, T. van Engelen, and M. Verhaegen, “Feedback–feedforward individual pitch control for wind turbine load reduction,” Int. J. Robust Nonlinear Control, vol. 19, no. 1, pp. 72–91, 2009, doi: 10.1002/rnc.1324.

[10] C. Serrano, J.-E. Sierra-Garcia, and M. Santos, “Hybrid Optimized Fuzzy Pitch Controller of a Floating Wind Turbine with Fatigue Analysis,” J. Mar. Sci. Eng., vol. 10, no. 11, p. 1769, Nov. 2022, doi: 10.3390/jmse10111769.

[11] M. T. Todinov, “Necessary and sufficient condition for additivity in the sense of the Palmgren–Miner rule,” Comput. Mater. Sci., vol. 21, no. 1, pp. 101–110, May 2001, doi: 10.1016/S0927-0256(00)00221-4.

[12] F. Alonso Zotes and M. Santos Peñas, “Multi-criteria genetic optimisation of the manoeuvres of a two-stage launcher,” Inf. Sci., vol. 180, no. 6, pp. 896–910, Mar. 2010, doi: 10.1016/j.ins.2009.11.001.

[13] L. Ren et al., “Mitigation of vibrations and its optimization in a large floating wind turbine across different typhoon stages,” Ocean Eng., vol. 330, p. 121287, Jun. 2025, doi: 10.1016/j.oceaneng.2025.121287.

 
logos0
 
br

| Main | Articles | Publication-Regulations | Committees | Publication-Ethics | Open-Access | Fees | Background |

REE&PQJ is edited by:

European Association for the Development of Renewable Energies, Environment and Power Quality (EA4EPQ/AEDERMACP)

ICREPQ

Copyright © 2026 EA4EPQ All rights are reserved