Yang Hexu, Li Xiaopeng, Xu Jinchi, Yang Zemin, Chen Renzhen
School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China.
School of Mechanical Engineering, Ningxia Institute of Science and Technology, Shizuishan, China.
Sci Prog. 2021 Jul-Sep;104(3):368504211035604. doi: 10.1177/00368504211035604.
According to the working characteristics of a 1.5 MW wind turbine planetary gear system under complex and random wind load, a two-parameter Weibull distribution model is used to describe the distribution of random wind speed, and the time-varying load caused by random wind speed is obtained. The nonlinear dynamic model of planetary gear transmission system is established by using the lumped parameter method, and the relative relations among various components are derived by using Lagrange method. Then, the relative relationship between the components is solved by Runge Kutta method. Considering the influence of random load and stiffness ratio on the planetary gear transmission system, the nonlinear dynamic response of cyclic load and random wind load on the transmission system is analyzed. The analysis results show that the variation of the stiffness ratio makes the planetary gear have abundant nonlinear dynamics behavior and the planetary gear can get rid of chaos and enter into stable periodic motion by changing the stiffness ratio properly on the premise of ensuring transmission efficiency. For the variable pitch wind turbine, the random change of external load increases the instability of the system.
根据1.5兆瓦风力发电机组行星齿轮系统在复杂随机风载荷作用下的工作特性，采用双参数威布尔分布模型描述随机风速分布，得到随机风速引起的时变载荷。利用集中参数法建立行星齿轮传动系统的非线性动力学模型，采用拉格朗日法推导各部件间的相对关系。然后，用龙格-库塔法求解部件间的相对关系。考虑随机载荷和刚度比行星齿轮传动系统的影响，分析了循环载荷和随机风载荷对传动系统的非线性动态响应。分析结果表明，刚度比的变化使行星齿轮具有丰富的非线性动力学行为，在保证传动效率的前提下，通过适当改变刚度比，行星齿轮可摆脱混沌进入稳定的周期运动。对于变桨距风力发电机组，外部载荷的随机变化增加了系统的不稳定性。
