Tower dynamic response analysis of wind turbines during primary frequency regulation

  • Yingwei Wang orcid

    The School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, China

  • Aolin Song orcid

    The Northeast Branch of State Grid Corporation of China, Shenyang 110001, China

  • Tingxiang Zhang orcid

    The Northeast Branch of State Grid Corporation of China, Shenyang 110001, China

  • Yilin Du orcid

    The Northeast Branch of State Grid Corporation of China, Shenyang 110001, China

Article ID: 4263
Keywords: wind turbine; tower; primary frequency regulation; vibration of side-to-side bending moment

Abstract

As wind turbines increasingly participate in Primary Frequency Regulation (PFR) to support grid frequency stability, the accompanying mechanical load variations pose a potential threat to structural reliability. However, the underlying aero-electro-mechanical coupling mechanisms by which PFR-induced power and torque fluctuations affect tower dynamics have not been fully clarified. This study develops a multidimensional analytical model of a wind turbine with PFR to reveal the transmission path from grid frequency deviations to generator torque variations and subsequently to tower side-to-side (SS) bending moments. Frequency-domain and time-domain analyses show that generator torque, rather than aerodynamic thrust, is the dominant excitation source for tower SS vibration during PFR. The results further indicate that this excitation is highly phase-sensitive: the amplification or suppression of tower vibration depends on the instantaneous phase alignment between the torque disturbance and the tower’s natural sway cycle. Therefore, identical PFR commands may lead to substantially different structural responses when activated at different instants. The analytical conclusions are validated using high-fidelity FAST co-simulations under stochastic wind and grid-disturbance scenarios. Quantitative fatigue evaluation shows that uncoordinated PFR may increase the tower SS Damage Equivalent Load (DEL) by up to 600% in low-wind-speed regimes. These findings demonstrate that future wind turbine PFR controllers should incorporate phase-aware coordination strategies to reduce structural resonance and fatigue risks while maintaining effective grid frequency support.

Published
2026-07-21
How to Cite
Wang, Y., Song, A., Zhang, T., & Du, Y. (2026). Tower dynamic response analysis of wind turbines during primary frequency regulation. Sound & Vibration, 60(4). https://doi.org/10.59400/sv4263
Section
Article

References

[1]Alutaybi A, Hamrouni C. Impact of vibration on wind turbine efficiency and LSTM-based power conversion prediction. Sound & Vibration. 2025; 59(3): 2059. doi: 10.59400/sv2059

[2]Kumar K, Prabhakar P, Verma A. Wind power forecasting technologies: A review. Energy Storage and Conversion. 2024; 2(2): 538. doi: 10.59400/esc.v2i2.538

[3]Li L, Zhu D, Zou X, et al. Review of frequency regulation requirements for wind power plants in international grid codes. Renewable and Sustainable Energy Reviews. 2023; 187: 113731. doi: 10.1016/j.rser.2023.113731

[4]He C, Geng H, Rajashekara K, et al. Analysis and Control of Frequency Stability in Low-Inertia Power Systems: A Review. IEEE/CAA Journal of Automatica Sinica. 2024; 11(12): 2363–2383. doi: 10.1109/JAS.2024.125013

[5]Wang H, Yang Z, Chen Z, et al. Multiple Adaptive Model Predictive Controllers for Frequency Regulation in Wind Farms. IEEE Transactions on Energy Conversion. 2023; 38(1): 15–26. doi: 10.1109/TEC.2022.3210176

[6]Huang Z, Yang X, Hu S, et al. An Optimal Active Power Allocation Method for Wind Farms Considering Unit Fatigue Load. Sustainability. 2025; 17(20): 9189. doi: 10.3390/su17209189

[7]Tavares TM, Giesbrecht M. Deep Learning-Based Fault Diagnosis in Wind Turbine Bearings and Gearboxes Using Vibration Signals: Survey, Challenges, and Recommendations. IEEE Access. 2025; 13: 207013–207032. doi: 10.1109/ACCESS.2025.3636831

[8]Wang Y, Guo Y, Xu W. Impact mechanism of frequency response on wind turbine fatigue load. Journal of Renewable and Sustainable Energy. 2023; 15(3): 033304. doi: 10.1063/5.0132363

[9]Zhang M, Xie C, Li T, et al. Wind-Induced Response Analysis and Fatigue Life Prediction of a Hybrid Wind Turbine Tower Combining an Upper Steel Tube with a Lower Steel Truss. Buildings. 2024; 14(5): 1441. doi: 10.3390/buildings14051441

[10]Wang D, Guo Y, Huang Y, et al. Torsional Vibration Analysis of Virtual-Synchronous-Controlled DFIG-Based Wind Turbines. IEEE Transactions on Sustainable Energy. 2025; 16(3): 2044–2057. doi: 10.1109/TSTE.2025.3544247

[11]Lara M, Vázquez F, Sandua-Fernández I, et al. Adaptive Active Generator Torque Controller Design Using Multi-Objective Optimization for Tower Lateral Load Reduction in Monopile Offshore Wind Turbines. IEEE Access. 2023; 11: 115894–115910. doi: 10.1109/ACCESS.2023.3325840

[12]Cheng Y, Azizipanah-Abarghooee R, Azizi S, et al. Smart frequency control in low inertia energy systems based on frequency response techniques: A review. Applied Energy. 2020; 279: 115798. doi: 10.1016/j.apenergy.2020.115798

[13]Zhao H, Wu Q, Huang S, et al. Fatigue Load Sensitivity-Based Optimal Active Power Dispatch For Wind Farms. IEEE Transactions on Sustainable Energy. 2017; 8(3): 1247–1259. doi: 10.1109/TSTE.2017.2673122

[14]Liu L, Wang Y, Wang Z, et al. Potential contributions of wind and solar power to China’s carbon neutrality. Resources, Conservation and Recycling. 2022; 180: 106155. doi: 10.1016/j.resconrec.2022.106155

[15]Ma Y, Li YP, Huang GH. Planning China’s non-deterministic energy system (2021–2060) to achieve carbon neutrality. Applied Energy. 2023; 334: 120673. doi: 10.1016/j.apenergy.2023.120673

[16]Lyu X, Groß D. Grid Forming Fast Frequency Response for PMSG-Based Wind Turbines. IEEE Transactions on Sustainable Energy. 2024; 15(1): 23–38. doi: 10.1109/TSTE.2023.3263858

[17]Jonkman J, Butterfield S, Musial W, et al. Definition of a 5-MW Reference Wind Turbine for Offshore System Development (No. NREL/TP-500-38060, 947422). National Renewable Energy Laboratory; 2009. doi: 10.2172/947422

[18]Wang S, Larsen TJ, Bredmose H. Ultimate load analysis of a 10 MW offshore monopile wind turbine incorporating fully nonlinear irregular wave kinematics. Marine Structures. 2021; 76: 102922. doi: 10.1016/j.marstruc.2020.102922

[19]Wang L, Wang L, Hong Y. Mitigation of side-to-side vibration of a 10MW monopile offshore wind turbine under misaligned wind and wave conditions by an active torque control. Journal of Sound and Vibration. 2024; 574: 118225. doi: 10.1016/j.jsv.2023.118225

[20]Wang X, Gao W, Scholbrock A, et al. Evaluation of different inertial control methods for variable‐speed wind turbines simulated by fatigue, aerodynamic, structures and turbulence (FAST). IET Renewable Power Generation. 2017; 11(12): 1534–1544. doi: 10.1049/iet-rpg.2017.0123

[21]Jonkman BJ, Buhl ML. TurbSim User’s Guide (No. NREL/TP-500-36970, 15020326). National Renewable Energy Laboratory; 2005. doi: 10.2172/15020326

[22]Buhl M. MCrunch User’s Guide for Version 1.00. National Renewable Energy Laboratory; 2008. Available online: https://docs.nlr.gov/docs/fy08osti/43139.pdf

[23]Cui R, Wang H, Liu Y, et al. VSG Frequency Response Strategy for Doubly-Fed Wind Farm Considering the Fatigue Load. Electronics. 2024; 13(12): 2310. doi: 10.3390/electronics13122310

[24]Gasparis G, Lio WH, Meng F. Surrogate Models for Wind Turbine Electrical Power and Fatigue Loads in Wind Farm. Energies. 2020; 13(23): 6360. doi: 10.3390/en13236360

[25]Yan W, Wang X, Gao W, et al. Electro-mechanical Modeling of Wind Turbine and Energy Storage Systems with Enhanced Inertial Response. Journal of Modern Power Systems and Clean Energy. 2020; 8(5): 820–830. doi: 10.35833/MPCE.2020.000272

[26]Wang H, Liu Y, Wang X, et al. Dynamic synthetic inertial control method of wind turbines considering fatigue load. Frontiers in Energy Research. 2023; 10: 1067896. doi: 10.3389/fenrg.2022.1067896