Design Optimization for Coating Fatigue Life of Wind Turbine Blades Considering Rain Erosion

doi:10.3901/JME.2022.17.002

Abstract

Abstract: Rain-induced fatigue damage is one of the most significant factors that affect the fatigue life of wind turbine blades, which attracts increasing attention in both industry and academia recently. To address this issue, a coating fatigue life design optimization method considering rain erosion is proposed in this paper. A Kriging surrogate model of coating fatigue life is constructed by a comprehensive computational framework which uses the rain intensity and the rotor rotational speed as the input of the surrogate model. Probability models of the rainfall intensity and the wind speed are constructed to characterize the duration information of rainfall intensity and wind speed. According to variation characteristics of fatigue life under different rain intensities, the constraint conditions are constructed to reduce the size of design space. Combined with the characteristics of power coefficient of a wind turbine, the initial rotor rotational speed is identified. The sequential quadratic programming method is used to obtain the optimal rotational speed of wind turbine under different rain intensities and wind speeds. The proposed design optimization method is applied in a 5 MW wind turbine. Result shows the proposed method could significantly increase the designed fatigue life of the wind turbine blade coating from 7.84 years to 20 years, while the reduction of total energy production during the service life of wind turbine is ignored. With the minimum total energy production reduction of the wind turbine, the fatigue life of the wind turbine blade is significantly extended.

Key words: rain erosion, wind turbine blade, fatigue life, design optimization, surrogate model

CLC Number:

TK89

CHEN Weiyi, HU Weifei, FANG Jianhao, JIANG Hongwei, LIU Zhenyu, TAN Jianrong. Design Optimization for Coating Fatigue Life of Wind Turbine Blades Considering Rain Erosion[J]. Journal of Mechanical Engineering, 2022, 58(17): 2-15.

References

[1] 应有，许国东. 基于载荷优化的风电机组变桨控制技术研究[J]. 机械工程学报，2011，47(16)：106-111，119. YING You，XU Guodong，Development of pitch control for load reduction on wind turbines[J]. Journal of Mechanical Engineering，2011，47(16)：106-111，119.
[2] SCHRAMM M，RAHIMI H，STOEVESANDT B，et al. The influence of eroded blades on wind turbine performance using numerical simulations[J]. Energies，2017，10(9)：1420.
[3] BUSCH H，HOFF G，LANGBEIN G，et al. Rain erosion properties of materials[J]. Philosophical Transactions for the Royal Society of London Series A，Mathematical and Physical Sciences，1966，260(1110)，1110：168-181.
[4] WOODS R D. Screening of surface waves in soils[J]. Journal of the Soil Mechanics and Foundations Division，1968，94(4)：951-980.
[5] HEYMANN F J. High-speed impact beteen a liquid drop and a solid surface[J]. Journal of Applied Physics，1969，40(13)：5113-5122.
[6] DEAR J P，FIELD J E. High-speed photography of surface geometry effects in liquid/solid impact[J]. Journal of Applied Physics，1988，63(4)：1015-1021.
[7] AMIRZADEH B，LOUHGHALAM A，RAESSI M，et al. A computational framework for the analysis of rain-induced erosion in wind turbine blades，part I：Stochastic rain texture model and drop impact simulations[J]. Journal of Wind Engineering and Industrial Aerodynamics，2017，163：33-43.
[8] BECH J I，HASAGER C B，BAK C. Extending the life of wind turbine blade leading edges by reducing the tip speed during extreme precipitation events[J]. Wind Energy Science，2018，3(2)：729-748.
[9] 刘轶，董旭，王中伟，等. 风力发电机组功率提升解决方案——叶片前缘贴膜[J]. 电力设备管理，2018(8)：84-86. LIU Zhi，DONG Xu，WANG Zhongwei，et al. Wind turbine power improvement solution — blade leading edge foil[J]. Electric Power Equipment Management，2018(8)：84-86
[10] HU W，CHEN W，WANG X，et al. A computational framework for coating fatigue analysis of wind turbine blades due to rain erosion[J]. Renewable Energy，2021，170：236-250.
[11] VERMA A S，CASTRO S G P，JIANG Z，et al. Numerical investigation of rain droplet impact on offshore wind turbine blades under different rainfall conditions：A parametric study[J]. Composite Structures，2020，241：112096
[12] KEEGAN M H，NASH D H，STACK M M. On erosion issues associated with the leading edge of wind trubine blades[J]. Journal of Physics D：Applied Physics，2013，46：383001.
[13] AMIRZADEH B，LOUHGHALAM A，RAESSI M，et al. A computational framework for the analysis of rain-indcued erosion in wind turbine blades，part II：Drop impact-indcued stresses and blade coating fatigue life[J]. Journal of Wind Engineering and Industrial Aerodynamics，2017(163)：44-54.
[14] 胡春幸，侯玉亮，铁瑛，等. 不同胶接参数对CFRP层合板单搭胶接结构强度的影响及优化设计[J]. 机械工程学报，2021，57(8)：154-65. HU Chunxing，HOU Yuliang，TIE Ying，et al. Influence of different bonding parameters on the strength of CFRP laminates with single lap bonding structure and optimization[J]. Journal of Mechanical Engineering，2021，57(8)：154-65.
[15] 金亮，冯裕霖，曹佳豪，等. 基于注意力与长短期记忆网络的变压器代理模型[J]. 电气技术，2021，22(7)：65-71，7. JIN Liang，FENG Yulin，CAO Jiahao，et al. Transformer surrogate model based on attention and long-short term memory[J]. Electrical Engineering，2021，22(7)：65-71，7.
[16] 郝佳瑞. 基于代理模型的小型无人机旋翼快速优化设计[D]. 大连：大连理工大学，2019. HAO Jiarui. Surrogate based rapid design optimization of rotor blades used in a small unmanned aerial vehicle[D]. Dalian：Dalian University of Technology，2019.
[17] SIMPSON T W，MAUERY T M，KORTE J J，et al. Kriging models for global approximation in simulation-based multidisciplinary design optimization[J]. AIAA Journal，2001，39(12)：2233-2241.
[18] 唐新姿，李鹏程，彭锐涛，等. 湍流工况小型风力机翼型气动特性及稳健优化[J]. 机械工程学报，2020，56(2)：192-200. TANG Xinzi，LI Pengcheng，PENG Ruitao，et al. Aerodynamic characteristics and robust optimization of small wind turbine airfoil under turbulence condition[J]. Journal of Mechanical Engineering，2020，56(2)：192-200.
[19] DZUPIRE N C，NGARE P，ODONGO L. A Poisson-Gamma model for zero inflated rainfall data[J]. Journal of Probability and Statistics，2018(1)：1-12.
[20] KEDEM B，PAVLOPOULOS H，GUAN X，et al. A probability distribution model for rain rate[J]. Journal of Applied Meteorology and Climatology，1994，33(12)：1486-1493.
[21] CHO H K，BOWMAN K P，NORTH G R. A comparison of gamma and lognormal distributions for characterizing satellite rain rates from the tropical rainfall measuring mission[J]. Journal of Applied Meteorology and Climatology，2004，43(11)：1586-1597.
[22] OCHI M K. Applied probability and stochastic processes：In engineering and physical sciences[M]. Hoboken，NJ：Wiley-Interscience，1990.
[23] JONES D M A，SIMS A L. Climatology of instantaneous rainfall rates[J]. Journal of Applied Meteorology，1978，17(8)：1135-1140.
[24] VERMA A S，JIANG Z，CABONI M，et al. A probabilistic rainfall model to estimate the leading-edge lifetime of wind turbine blade coating system[J]. Renewable Energy，2021，178：1435-1455.
[25] HU W，CHOI K，ZHUPANSKA O，et al. Integrating variable wind load，aerodynamic，and structural analyses towards accurate fatigue life prediction in composite wind turbine blades[J]. Structural and Multidisciplinary Optimization，2016，53(3)：375-394.
[26] HU W，CHOI K，CHO H. Reliability-based design optimization of wind turbine blades for fatigue life under dynamic wind load uncertainty[J]. Structural and Multidisciplinary Optimization，2016，54(4)：953-970.
[27] HANSEN M. Aerodynamics of wind turbines[M]. London：Routledge，2015.
[28] 刘其辉. 变速恒频风力发电系统运行与控制研究[D]. 杭州：浙江大学，2005. LIU Qihui. The investigation of operation and control for a variable-speed constant-frequency wind power generation system[D]. Hangzhou：Zhejiang University，2005.
[29] SLOOTWEG J G，POLINDER H，KLING W L. Dynamic modelling of a wind turbine with doubly fed induction generator[C]// 2001 Power engineering society summer meeting. Conference proceedings，15-19 July，2001，Vancouver，Canada. IEEE，2001：644-649.
[30] LOPHAVEN S N，NIELSEN H B，SøNDERGAARD J. DACE-A Matlab Kriging toolbox，version 2.0[R/OL]. http：//www.imm.dtu.dk/pubdb/p.php?3213，2002.