SELF-SIMILAR MODULAR TOPOLOGY OPTIMIZATION METHOD FOR WIND TURBINE TOWER

Cui Boyi, Long Kai, Chen Yutang, Huang Jingbo, Tao Tao, Huang Xiaogang

Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (9) : 813-818.

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Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (9) : 813-818. DOI: 10.19912/j.0254-0096.tynxb.2025-0778

SELF-SIMILAR MODULAR TOPOLOGY OPTIMIZATION METHOD FOR WIND TURBINE TOWER

  • Cui Boyi1, Long Kai1, Chen Yutang1, Huang Jingbo1, Tao Tao2, Huang Xiaogang3
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Abstract

To achieve the optimal design of onshore wind turbine tower structures, a self-similar modular topology optimization method is proposed. Based on the three-field theory, a topology optimization formulation for continuum structures is established, in which the compliance is minimized subject to the prescribed volume fraction. The sensitivity expressions under self-similar modular constraints are derived, while the optimization solution and design variable update are performed through the method of moving asymptotes. The ANSYS software is redeveloped for topology optimization functionality based on Python. Various layer numbers of self-similar structures are obtained. The ultimate stiffness and strength of the calculated structures under three typical loading conditions are computed and analyzed by finite element method. The results reveal that the self-similar structure is superior in mechanical properties such as maximum nodal displacement and stress value, proving the feasibility and superiority of the proposed methodology.

Key words

wind turbines / towers / structural design / topology optimization / modularization

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Cui Boyi, Long Kai, Chen Yutang, Huang Jingbo, Tao Tao, Huang Xiaogang. SELF-SIMILAR MODULAR TOPOLOGY OPTIMIZATION METHOD FOR WIND TURBINE TOWER[J]. Acta Energiae Solaris Sinica. 2026, 47(9): 813-818 https://doi.org/10.19912/j.0254-0096.tynxb.2025-0778

References

[1] 陶涛, 龙凯, 白欣鉴, 等. 风电机组高柔塔二阶涡激振动特性研究[J]. 太阳能学报, 2022, 43(2): 498-503.
Tao T, Long K, Bai X J, et al.Study on second-order vortex-induced vibration characteristics of high-flexible towers of wind turbines[J]. Acta Energiae Solaris Sinica, 2022, 43(2): 498-503.
[2] 陶涛, 龙凯, 刘永前, 等. 计及限功率工况的风电塔筒螺栓疲劳寿命预测方法[J]. 太阳能学报, 2021, 42(11): 359-366.
Tao T, Long K, Liu Y Q, et al.Fatigue life prediction of wind turbine tower bolts considering power curtailment conditions[J]. Acta Energiae Solaris Sinica, 2021, 42(11): 359-366.
[3] Wang Y H, Xu S, Zhou X H, et al.Lateral load behavior of prestressed segmental concrete towers with hollow tapered geometry[J]. Thin-Walled Structures, 2025, 209: 112914.
[4] Huang X G, Li B K, Zhou X H, et al.Geometric optimisation analysis of Steel-Concrete hybrid wind turbine towers[J]. Structures, 2022, 35: 1125-1137.
[5] Huang X G, Cui J, Zhou X H, et al.Fatigue analysis of segmental precast post-tensioned concrete towers under operational wind turbine loads[J]. Engineering Structures, 2025, 334: 120295.
[6] 王宇航, 周绪红, 杨琳, 等. 风电机组支撑结构技术发展现状及趋势[J]. 钢结构(中英文), 2024, 39(10): 1-13.
Wang Y H, Zhou X H, Yang L, et al.Current status and development trend of supporting structures for wind turbines[J]. Steel Construction (Chinese & English), 2024, 39(10): 1-13.
[7] Xiong C N, Dai K S, Luo Y X, et al.Integrated fatigue assessment method considering average stress effects of large-scale lattice wind turbine support structures[J]. Journal of Constructional Steel Research, 2024, 214: 108492.
[8] Xiong C N, Dai K S, Luo Y X, et al.Optimizing dimension selection for rain flow counting in fatigue assessment of large-scale lattice wind turbine support structures: a comprehensive study and design guidance[J]. Thin-Walled Structures, 2024, 201: 112051.
[9] Luo Y X, Zhou D, Heng J L, et al.Probabilistic fatigue prognosis of novel ring-flange connections in lattice-tubular hybrid (LTH) wind turbine towers[J]. Thin-Walled Structures, 2025, 209: 112908.
[10] Zwick D, Muskulus M, Moe G.Iterative optimization approach for the design of full-height lattice towers for offshore wind turbines[J]. Energy Procedia, 2012, 24: 297-304.
[11] Tian X J, Sun X Y, Liu G J, et al.Optimization design of the jacket support structure for offshore wind turbine using topology optimization method[J]. Ocean Engineering, 2022, 243: 110084.
[12] Zhang C W, Zhang J H, et al.Topology optimization methodology on multi-jacket structure for offshore wind turbine[J]. Acta Energiae Solaris Sinica , 2023, 44(6): 495-500.
[13] Lan R, Long K, Saeed A, et al.Fail-safe topology optimization for a four-leg jacket structure of offshore wind turbines[J]. Structures, 2024, 62: 106183.
[14] Saeed N, Gong J L, Wan Y J, et al.A novel design of multifunctional offshore floating platform structure based on topology optimization[J]. Engineering Structures, 2024, 306: 117782.
[15] 陆飞宇, 龙凯, 张承婉, 等. 基于拓扑优化的海上风电机组三脚架结构设计[J]. 太阳能学报, 2023, 44(7): 339-344.
Lu F Y, Long K, Zhang C W, et al.Structural design on tripod structure of offshore wind turbine based on topology optimization method[J]. Acta Energiae Solaris Sinica, 2023, 44(7): 339-344.
[16] 张锦华, 杜家政, 龙凯, 等. 腿距变化下海上风电机组导管架拓扑优化设计方法[J]. 太阳能学报, 2024, 45(11): 427-432.
Zhang J H, Du J Z, Long K, et al.Topology optimization method on jacket structure of offshore wind turbine by varying leg distances[J]. Acta Energiae Solaris Sinica, 2024, 45(11): 427-432.
[17] Wang F W, Lazarov B S, Sigmund O.On projection methods, convergence and robust formulations in topology optimization[J]. Structural and Multidisciplinary Optimization, 2011, 43(6): 767-784.
[18] Svanberg K.The method of moving asymptotes: a new method for structural optimization[J]. International Journal for Numerical Methods In Engineering, 1987, 24(2): 359-373.
[19] IEC 61400-1 Ed. 4.0 b:2019 Wind energy generation systems-part 1: design requirements[S].
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