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

doi:doi:10.19912/j.0254-0096.tynxb.2024-1012

欢迎来到能源电力期刊网！

English Version 读者登录期刊登录

您当前的位置：

首页 >

文章列表页 >

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

更新时间：2025-12-17

- 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
- 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
- 太阳能学报 2025年第10期页码：663-671
- 作者机构：
- 作者简介：
- 基金信息：
  
  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）
- DOI：doi:10.19912/j.0254-0096.tynxb.2024-1012
  中图分类号： K83
- 网络出版：2025-10-31，
  
  纸质出版：2025-10-31
- 稿件说明：
移动端阅览
欧阳衡, 王毅, 侯炎兵, 等. 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,(10):663-671.

欧阳衡, 王毅, 侯炎兵, et al. 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]. 2025, (10): 663-671.
欧阳衡, 王毅, 侯炎兵, 等. 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,(10):663-671. DOI： doi:10.19912/j.0254-0096.tynxb.2024-1012.

欧阳衡, 王毅, 侯炎兵, et al. 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]. 2025, (10): 663-671. DOI： doi:10.19912/j.0254-0096.tynxb.2024-1012.

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 -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 -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

Keywords

references

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

闻邦椿. 机械设计手册[M]. 北京: 机械工业出版社, 2010.

GB/T 19073—2018, 风力发电机组齿轮箱设计要求[S].

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

GL2010, Guideline for the certification of wind turbines[S].

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

暂无数据