多误差影响下复合行星风电齿轮箱动态均载性能不确定性分析方法

欧阳衡, 王毅, 侯炎兵, 赵隆达, 王芳, 段书用

太阳能学报 ›› 2025, Vol. 46 ›› Issue (10) : 663-671.

PDF(3930 KB)
欢迎访问《太阳能学报》官方网站,今天是
PDF(3930 KB)
太阳能学报 ›› 2025, Vol. 46 ›› Issue (10) : 663-671. DOI: 10.19912/j.0254-0096.tynxb.2024-1012

多误差影响下复合行星风电齿轮箱动态均载性能不确定性分析方法

  • 欧阳衡1, 王毅1, 侯炎兵2, 赵隆达1, 王芳1, 段书用1
作者信息 +

DYNAMIC LOAD SHARING PERFORMANCE UNCERTAINTY ANALYSIS METHOD FOR COMPOUND PLANETARY GEARBOX OF WIND TURBINE UNDER INFLUENCE OF MULTIPLE ERRORS

  • Ouyang Heng1, Wang Yi1, Hou Yanbing2, Zhao Longda1, Wang Fang1, Duan Shuyong1
Author information +
文章历史 +

摘要

为提高风电齿轮箱承载能力与运转平稳性,探明多类型误差对齿轮箱均载性能的影响规律,提出多误差影响下复合行星风电齿轮箱均载性能不确定性分析方法。首先,采用集中参数法建立复合行星风电齿轮箱动态均载性能分析模型,确定各类误差与齿轮箱均载性能之间的映射关系;其次,利用二阶衍生λ-PDF对上述误差进行不确定性建模,实现不同分布下多类型误差的统一度量;然后,运用降维积分法对各类误差与齿轮箱均载性能之间的映射关系进行求解;最后,采用二阶衍生λ-PDF对风电齿轮箱均载性能的不确定性进行准确度量。研究结果表明:所提方法将包含多个不确定性参数的齿轮箱均载性能分析问题分解为多个包含单一不确定性参数的齿轮箱均载性能分析问题,并采用统计矩的形式传递不确定性信息,相较于蒙特卡洛的大样本统计模拟方法,既提高了求解效率又保证了计算精度。

Abstract

To enhance the load-bearing capacity and operational stability of wind turbine gearbox, this study investigates influence of multiple errors on the load sharing of compound planetary gearbox. A dynamic load sharing performance uncertainty analysis method for compound planetary gearbox of wind turbine under the influence of multiple errors is proposed in this paper. Firstly, the lumped parameter method is adopted to establish the dynamic load sharing performance analysis model of the compound planetary gearbox. Specifically, the mapping relationship between the multiple errors and the load sharing performance is apprehended. Secondly, the second-order derived λ-PDF is applied to model the uncertainty of the aforementioned errors, enabling a unified measurement of multiple errors under different distributions. Thirdly, the dimension reduction integration method is employed to solve the high-dimensional dynamic load sharing performance analysis model of the compound planetary gearbox. Finally, the second-order derived λ-PDF is used to precisely quantify the uncertainty of the load sharing performance of compound planetary gearbox. The example results indicate that the proposed method can effectively decompose the dynamic load sharing performance analysis problem containing multiple uncertain parameters into the dynamic load sharing performance analysis problem with multiple single uncertain parameters. Compared to the Monte Carlo method involving the large-sample statistical simulation, the proposed approach reduces the computational complexity of dynamic load sharing performance analysis while ensuring computational accuracy.

关键词

动力学建模 / 均载性能分析 / 二阶衍生λ-PDF / 降维积分法 / 复合行星风电齿轮箱

Key words

dynamic modelling / load sharing analysis / second-order derived λ-PDF / dimension reduction integral method / compound planetary gearbox of wind turbine

引用本文

导出引用
欧阳衡, 王毅, 侯炎兵, 赵隆达, 王芳, 段书用. 多误差影响下复合行星风电齿轮箱动态均载性能不确定性分析方法[J]. 太阳能学报. 2025, 46(10): 663-671 https://doi.org/10.19912/j.0254-0096.tynxb.2024-1012
Ouyang Heng, Wang Yi, Hou Yanbing, Zhao Longda, Wang Fang, Duan Shuyong. DYNAMIC LOAD SHARING PERFORMANCE UNCERTAINTY ANALYSIS METHOD FOR COMPOUND PLANETARY GEARBOX OF WIND TURBINE UNDER INFLUENCE OF MULTIPLE ERRORS[J]. Acta Energiae Solaris Sinica. 2025, 46(10): 663-671 https://doi.org/10.19912/j.0254-0096.tynxb.2024-1012
中图分类号: TK83   

参考文献

[1] BHARANI R, SIVAPRAKASAM A.A review analysis on performance and classification of wind turbine gearbox technologies[J]. IETE journal of research, 2022, 68(5): 3341-3355.
[2] 欧阳衡, 赵隆达, 赵颖, 等. 复合行星风电齿轮箱高精度建模与不确定性分析[J]. 太阳能学报, 2025, 46(5): 485-495.
OUYANG H, ZHAO L D, ZHAO Y, et al.High-precision modelling and uncertainty analysis of compound planetary gearbox for wind turbine[J]. Acta energiae solaris sinica, 2025, 46(5): 485-495.
[3] 马正琰, 欧阳衡, 郝志杰, 等. 基于聚类椭球模型的机械系统不确定性分析方法[J]. 工程设计学报, 2025, 32(2): 141-150.
MA Z Y, OUYANG H, HAO Z J, et al.Uncertainty analysis method for mechanical system based on multi-cluster ellipsoidal model[J]. Chinese journal of engineering design, 2025, 32(2): 141-150.
[4] 魏静, 郭剑鹏, 张世界, 等. 大型风力机齿轮传动系统机电耦合动态特性研究[J]. 太阳能学报, 2022, 43(8): 300-308.
WEI J, GUO J P, ZHANG S J, et al.Study on electromechanical coupling dynamic characteristics of large wind turbine gear transmission system[J]. Acta energiae solaris sinica, 2022, 43(8): 300-308.
[5] MO S, MA S, JIN G G, et al.Research on multiple-split load sharing characteristics of 2-stage external meshing star gear system in consideration of displacement compatibility[J]. Mathematical problems in engineering, 2017, 2017: 1037479.
[6] DU J F, MAO J, LIU K, et al.Load-sharing analysis of two-stage three-branch star gearing based on deformation compatibility[J]. Advances in mechanical engineering, 2018, 10(12): 1687814018819542.
[7] WANG G J, SU L, ZOU S D.Uneven load contact dynamic modelling and transmission error analysis of a 2K-V reducer with eccentricity excitation[J]. Strojniški vestnik-journal of mechanical engineering, 2020: 91-104.
[8] 李钊刚, 廖明建, 赵颖. NW型复合行星齿轮传动的特点和均载系数[J]. 机械传动, 2018, 42(4): 47-51.
LI Z G, LIAO M J, ZHAO Y.Characteristic and mean load factor of NW type compound planetary gear drive[J]. Journal of mechanical transmission, 2018, 42(4): 47-51.
[9] HU C F, GENG G D, SPANOS P D.Stochastic dynamic load-sharing analysis of the closed differential planetary transmission gear system by the Monte Carlo method[J]. Mechanism and machine theory, 2021, 165: 104420.
[10] 魏莎, 韩勤锴, 褚福磊. 考虑不确定性因素的齿轮系统动力学研究综述[J]. 机械工程学报, 2016, 52(1): 1-19.
WEI S, HAN Q K, CHU F L.Review on research of uncertain dynamics for gear system[J]. Journal of mechanical engineering, 2016, 52(1): 1-19.
[11] 许灿. 基于概率的不确定性传播与计算反求方法研究[D]. 长沙: 湖南大学, 2015.
XU C.Research on probability-based uncertainty propagation and calculation reverse method[D]. Changsha: Hunan University, 2015.
[12] OUYANG H, LIU J, HAN X, et al.Non-probabilistic uncertain inverse problem method considering correlations for structural parameter identification[J]. Structural and multidisciplinary optimization, 2021, 64(3): 1327-1342.
[13] 田德, 陶立壮, 胡玥, 等. 基于齿廓修形和摩擦耦合的风电齿轮磨损动力学特性分析[J]. 太阳能学报, 2022, 43(5): 260-269.
TIAN D, TAO L Z, HU Y, et al.Dynamics of wind turbine gear wear fault based on tooth profile modification and friction coupling[J]. Acta energiae solaris sinica, 2022, 43(5): 260-269.
[14] DONG H, LIU Z Y, ZHAO X L, et al.Research on static load sharing characteristics of power split two-stage five-branching star gearing drive system[J]. Journal of vibroengineering, 2019, 21(1): 11-27.
[15] XUN C, DAI H.Dynamic load sharing behaviours of planetary gear trains and parameter study through perturbation analysis[J]. Shock and vibration, 2021, 2021: 8832908.
[16] 秦大同, 吕雪慧, 陈锐博, 等. 运行工况下风电传动系统机电耦合建模及其动态特性分析[J]. 中国机械工程, 2022, 33(3): 253-260.
QIN D T, LYU X H, CHEN R B, et al.Electromechanical coupling modeling and dynamic characteristic analysis of wind power transmission systems under operation conditions[J]. China mechanical engineering, 2022, 33(3): 253-260.
[17] 闻邦椿. 机械设计手册[M]. 北京: 机械工业出版社, 2010.
WEN B C.Machine design handbook[M]. Beijing: China Machine Press, 2010.
[18] GB/T 19073—2018, 风力发电机组齿轮箱设计要求[S].
GB/T 19073—2018, Gearbox of wind turbine generator system[S].
[19] OUYANG H, WANG H Y, LIU J, et al.Non-probabilistic sensitivity analysis method for multi-input-multi-output structures considering correlations[J]. International journal of mechanical sciences, 2024, 271: 109123.
[20] OUYANG H, LIU J, HAN X, et al.Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model[J]. Applied mathematical modelling, 2020, 88: 190-207.
[21] ZHANG D Q, JIA J K, HAN Z H, et al.An efficient uncertainty quantification and propagation method through skewness and kurtosis fitting region[J]. Structural and multidisciplinary optimization, 2023, 66(2): 36.
[22] MA X P, LENG X L, MENG G, et al.Evolutionary earthquake response of uncertain structure with bounded random parameter[J]. Probabilistic engineering mechanics, 2004, 19(3): 239-246.
[23] 欧阳衡. 基于相关性分析的结构不确定性传播与计算反求方法研究[D]. 长沙: 湖南大学, 2020.
OUYANG H.Research on structural uncertainty propagation and computational inverse methods based on correlation analysis[D]. Changsha: Hunan University, 2020.
[24] ZHANG D Q, JIA J, HAN Z, et al.An efficient uncertainty quantification and propagation method through skewness and kurtosis fitting region[J]. Structural and multidisciplinary optimization, 2023, 66(2): 36.
[25] 谭援强, 胡聪芳, 张跃春, 等. 封闭差动行星齿轮箱动态均载性能试验研究[J]. 机械工程学报, 2016, 52(9): 28-35.
TAN Y Q, HU C F, ZHANG Y C, et al.Testing research on dynamic load sharing performance of encased differential planetary gearbox[J]. Journal of mechanical engineering, 2016, 52(9): 28-35.
[26] GÖTZ J, SIGLMÜLLER F, FÜRST M, et al. Experimental investigation of the dynamic load sharing of planetary gearboxes[J]. Forschung im ingenieurwesen, 2022, 86(3): 295-302.
[27] 徐向阳. 柔性销轴式风电齿轮箱动力学研究[D]. 重庆: 重庆大学, 2012.
XU X Y.Dynamics research of wind turbine gearbox with flexible planet gear pins[D]. Chongqing: Chongqing University, 2012.
[28] 王怀宾. 大功率风电机组行星均载特性的试验研究[D]. 大连: 大连理工大学, 2017.
WANG H B.Experimental study on planetary load sharing characteristics of high-power wind turbine[D]. Dalian: Dalian University of Technology, 2017.
[29] ZHANG M, ZHANG Z J, SHI L L, et al.A new assembly error modeling and calculating method of complex multi-stage gear transmission system for a large space manipulator[J]. Mechanism and machine theory, 2020, 153: 103982.
[30] GL2010, Guideline for the certification of wind turbines[S].

基金

河北省高等学校科学研究项目产学研合作专项(CXY2024005); 国家自然科学基金(52475252; 12102122); 中国科协青年人才托举工程项目(YESS20240467); 河北省自然科学基金创新研究群体延续资助项目(E2024202298)

PDF(3930 KB)

Accesses

Citation

Detail

段落导航
相关文章

/