Dynamic Error Analysis Based on the Flexible Shaft of Wind Turbine Gearbox
-
摘要: 针对传动系统激励与响应不同步问题,不计传动部件阻尼因素,在只考虑构件柔性的前提下,对1.5MW风电齿轮箱内悬浮支撑的低速中间轴激起的系统动态误差进行了研究。采用达朗贝尔原理建立动态误差数值递推模型,应用MATLAB对模型进行模拟和分析,并利用等效系统对比验证。分析结果表明:齿轮箱动态误差不仅同系统固有参数相关,其幅值还受到外载荷的影响;同步误差分量和自由振动误差分量线性叠加构成了系统动态误差,其中自由振动误差分量会引起齿轮啮合的随机波动,若增大低速中间轴刚度,可补偿部分同步误差,进而提高传动系统稳定性和传动精度。Abstract: In this paper, in view of the asynchrony issue between excitation and response of the transmissionsystem, the system dynamic error caused by the flexible shaft which is suspended in the gear box of a 1. 5 MW windturbine was investigated considering the flexibility of the components. The numerical recursive model wasestablished by using D' Alembert' s principle firstly, then simulation and analysis were carried out based on thismodel by using MATLAB software, and an equivalent system was also adopted for comparison and verification. Theresults show that the dynamic error is not only related to the inherent parameters of system but also the external loadimposed on the system; The dynamic errors are consist of synchronization error component and free vibration errorcomponent, and the latter can cause a random fluctuations of the gears. However, the dynamic errors can becompensated partly if the stiffness coefficient of the flexible shaft is increased, and then the stability and accuracy oftransmission system can be improved.
-
Key words:
- runge Kutta methods /
- dynamic error /
- dynamics /
- elastic components
-
[1] 陈会涛, 秦大同, 吴晓铃, 等.考虑随机制造误差的风力机行星齿轮系统动力学特性[J]. 机械工程学报,2012, 48(21): 77-83Chen H T, Qin D T, Wu X L, et al.Dynamic characteristics of planetary gear transmission system of wind turbine with random manufacturing error [J].Journal of Mechanical Engineering, 2012, 48(21): 77-83(in Chinese) [2] Lin J.Analytical investigation of planetary gear dynamics [D]. The Ohio State University,2000 [3] 钱瑞明.挠性机器人动 态误差集成激光测量与补偿研究[J]. 机械科学与技术, 2001, 20(2): 251-252Qian r M.Integrated laser-optical measurement and compensation of dynamic errors for flexible manipulators[J].Mechanical Science and Technology, 2001, 20 (2): 251-252 (in Chinese) [4] AL-SHYYSB A, Kahraman A.A non-linear dynamic model for planetary gear sets[J]. Proceedings of the Institution of Mechanical Engineering, Part K: Journal of Multi-body Dynamics, 2007, 221 (4): 567-575 [5] August r, Kasuba r.Torsional vibrations and dynamic loads in a basic planetary gear system[J]. Journal of Vibration and Acoustics, 1986, 108(3): 348-353 [6] 朱才朝, 黄泽好, 唐倩, 等.风力发电齿轮箱系统耦合非线性动态特性的研究[J]. 机械工程学报, 2005, 41(8): 203-207Zhu C Z.Huang Z H, Tang Q.et al.Analysis of nonlinear coupling dynamic characteristics of gearbox system about wind driven generator [J]. Journal of Mechanical Engineering, 2005, 41 (8): 203-207 (in Chinese) [7] 张庆伟, 张博, 王建宏, 等.风力发电机齿轮传动系统的动态优化设计[J]. 重庆大学学报, 2010, 33 (3):30-35Zhang Q W.Zhang B, Wang J H.et al.Dynamic optimization design of gear transmission system for wind turbine[J]. Journal of Chongqing University, 2010, 33(3): 30-35 (in Chinese) [8] 陈强, 唐西胜, 裴玮, 等.风力发电传动系统的建模与数字 模 拟 研 究[J]. 太 阳 能 学 报, 2010, 31 (11):1503-1508Chen Q, Tang X S, Pei W, et al.Modeling and digital simulation research for wind power transmission system[J]. Acta Energine Solaris Sinica,2010,31(11):1503-1508(in Chinese) [9] 赵振宙, 郑原, 高玉 琴.风力机原理与应用[M]. 南京: 河海大学, 2011Zhao Z Y, Zheng Y, Gao Y Q.Wind turbine principles and applications[M]. Nanjing: Hohai University, 2011(in Chinese) [10] 姜健飞, 胡良剑, 唐剑.数值分析及其 MATLAB 实验[M]. 北京: 科学出版社,2004Jiang J F, Hu L J, Tang J.Numerical analysis and experimental of MATLAB[M]. Beijing: Science Press,2004 (in Chinese)
点击查看大图
计量
- 文章访问数: 140
- HTML全文浏览量: 18
- PDF下载量: 5
- 被引次数: 0