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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2019, Vol. 53 Issue (9): 1711-1719    DOI: 10.3785/j.issn.1008-973X.2019.09.010
Civil and Architecture Engineering     
Fatigue damage calculation method of monopile supported offshore wind turbine
Jian-bin ZHAO1(),Yi-bo XI1,Zhen-yu WANG2,*()
1. School of Civil Engineering, Shenyang Jianzhu University, Shenyang 110168, China
2. College of Civil and architecture, Zhejiang University, Hangzhou 310058, China
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Abstract  

The applicability and influence of different calculation methods were evaluated, in order to improve the accuracy of the fatigue damage calculation of offshore wind turbine foundation. The fatigue evaluation of a monopile supported offshore wind turbine was studied. The full time domain dynamic analysis model and the frequency domain fatigue damage calculation process based on power spectral density function were established. The influence of aerodynamic damping, combined wind and wave loads and stress range probability distribution model on the fatigue damage were studied. Results show that the fatigue damage is easily affected by the aerodynamic damping, and the wind-induced fatigue damage is more sensitive to aerodynamic damping than the wave-induced fatigue damage. Since the combined wind and wave loads has great influence on the foundation fatigue damage, the result of simply superimposing wind-induced and wave-induced fatigue damage is less than the result of combined wind and wave loads. It is necessary to determine an appropriate stress range probability distribution model. The wind-induced and wave-induced fatigue damage calculated by Dirlik model and inverse fast Fourier transform (IFFT) in frequency domain method is respectively close to the results by time domain method, but the total fatigue damage of superimposing wind-induced and wave-induced fatigue damage is less than that of combining wind and wave loads by time domain method.

Key words： monopile supported offshore wind turbine      fatigue damage      dynamic analysis      frequency domain method      aerodynamic damping      stress range probability distribution model     
Received: 27 September 2018      Published: 12 September 2019
CLC:  TU 473.1  
  TV 34  
Corresponding Authors: Zhen-yu WANG     E-mail: cejbzhao@163.com;wzyu@zju.edu.cn
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Jian-bin ZHAO
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Cite this article:

Jian-bin ZHAO,Yi-bo XI,Zhen-yu WANG. Fatigue damage calculation method of monopile supported offshore wind turbine. Journal of ZheJiang University (Engineering Science), 2019, 53(9): 1711-1719.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2019.09.010     OR     http://www.zjujournals.com/eng/Y2019/V53/I9/1711


海上风机单桩基础疲劳损伤计算方法

为提高海上风机基础疲劳损伤计算的准确性，评价不同计算方法的适用性和影响，以海上风机单桩基础为例进行疲劳评价，建立全时域的动力分析模型和基于功率谱密度函数的频域疲劳损伤计算流程，研究气动阻尼比取值、风与波浪联合作用、应力幅概率分布模型对基础疲劳损伤的影响. 结果表明：基础疲劳损伤受气动阻尼比影响突出，风致疲劳损伤对气动阻尼比的敏感性大于浪致疲劳损伤；由于风与波浪联合作用对基础的疲劳损伤有较大影响，简单叠加风致疲劳损伤和浪致疲劳损伤得到的结果较风与波浪联合作用时偏小；确定合适的应力幅概率分布模型十分必要，频域法中采用Dirlik模型得到的风致疲劳损伤和采用快速傅里叶逆变换（IFFT）的浪致疲劳损伤分别与时域法的结果相近，但叠加的总疲劳损伤小于风与波浪联合作用时的总疲劳损伤.


关键词： 海上风机单桩基础,  疲劳损伤,  动力分析,  频域法,  气动阻尼比,  应力幅概率分布模型 
Fig.1 Offshore turbine dynamic analysis model
Fig.2 Flow chart of frequency domain method fatigue evaluation analysis
风况 Δu/（m·s?2） u/（m·s?2） P/% 海况 Hs/m T/s P/%
W1 2.5~4.0 3 10.52 S1 0.5 2 5.93
W2 4.0~6.0 5 20.11 S2 0.5 3 36.59
W3 6.0~8.0 7 21.94 S3 1.0 3 16.05
W4 8.0~10.0 9 18.42 S4 0.5 4 8.05
W5 10.0~12.0 11 12.28 S5 1.0 4 19.79
W6 12.0~14.0 13 6.59 S6 1.5 4 6.76
W7 14.0~20.0 16 4.13 S7 1.5 5 2.45
W8 <2.5 ? 5.93 S8 2.0 5 3.18
W9 >20.0 ? 0.08 S9 2.5 5 1.20
Tab.1 Division results of wind cases and sea cases
Fig.3 Occurrence probability of wind and sea combined cases
Fig.4 Comparison of time and frequency domain stress PSD
Fig.5 Influence of aerodynamic damping on fatigue damage in wind case IV
Fig.6 Influence of aerodynamic damping on fatigue damage in sea case IX
Fig.7 Influence of aerodynamic damping on fatigue damage in combined wind case IV and sea case IX
风况 Dwind K/% 海况 Dwave K/%
注：Dtotal=Dwind+Dwave=4.70×10?1
W1 3.80×10?6 0 S1 2.09×10?5 0.25
W2 4.87×10?4 0.11 S2 1.33×10?4 1.56
W3 7.89×10?3 1.71 S3 1.87×10?3 22.00
W4 3.87×10?2 8.39 S4 1.20×10?5 0.14
W5 9.03×10?2 19.59 S5 9.44×10?4 11.11
W6 1.37×10?1 29.72 S6 2.45×10?3 28.82
W7 1.87×10?1 40.56 S7 2.38×10?4 2.80
W8 0 0 S8 1.30×10?3 15.29
W9 0 0 S9 1.53×10?3 18.00
Dwind 4.61×10?1 100.00 Dwave 8.50×10?3 100.00
Tab.2 Foundation fatigue damage of each case with wind or wave loading alone
Fig.8 Foundation fatigue damage of each case with combined wind and wave loads
Fig.9 Fatigue damage under combination of sea case II and each wind case
Fig.10 Fatigue damage under combination of wind case VII and each sea case
计算方法 Dwind Dwave
时域方法 0.461 8.50×10?3
频域方法 IFFT方法 1.94 9.70×10?3
Dirlik模型 0.523 ?
BT模型 4.35 ?
Tunna模型 1.21 ?
Rayleigh模型 ? 0.461
Tab.3 Foundation fatigue damage with different calculation methods
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