考虑强度退化的海上风机齿轮结构可靠性评估方法  

Reliability Assessment Method for Offshore Wind Turbine Gear StructuresConsidering Strength Degradation

作　　者：李宏仲 周玉龙 LI Hongzhong;ZHOU Yulong(School of Electrical Engineering,Shanghai University of Electric Power,Yangpu District,Shanghai 200090,China)

机构地区：[1]上海电力大学电气工程学院,上海市杨浦区200090

出　　处：《中国电机工程学报》2023年第13期5037-5048,共12页Proceedings of the CSEE

摘　　要：针对结构可靠性评估中多维复杂非线性积分难以求解的问题,以海上风机的齿轮结构为例,提出一种基于广义多项式混沌和最大熵模型的解析计算方法。首先,考虑风载荷对齿轮的疲劳损伤,建立考虑齿轮结构强度退化的时变可靠性模型;其次,基于随机风载和齿轮材料结构的不确定性分布,通过广义多项式混沌展开将原复杂随机模型转化为正交多项式之和的代理模型;在此基础上,利用代理模型的展开系数和正交基函数得结构功能函数的前四阶原点矩,将其作为齿轮结构疲劳可靠性的约束条件,并基于最大熵原理得到齿轮疲劳失效的概率密度函数,采用直接积分的方法求结构可靠性指标;最后,以一台2MW海上风机的齿轮结构为例进行分析计算,验证所提方法的有效性。An analytical calculation method based on generalized polynomial chaos and maximum entropy model is proposed for the gear structure of an offshore wind turbine.It is difficult to solve multidimensional complex nonlinear integrals in structural reliability assessment.First,considering the fatigue damage of gear caused by wind load,a time-varying reliability model is established taking into account the strength degradation of gear structure.Secondly,based on the uncertain distribution of random wind load and gear material structure,the original complex random model is transformed into a proxy model of orthogonal polynomial sum by introducing the generalized polynomial chaos expansion method.On this basis,the expansion coefficients and the orthogonal basis functions of the agent model are used to obtain the first four order moments of the origin of the structure function,which is used as a constraint for the fatigue reliability of the gear structure;the probability density function of the fatigue failure of the gear is calculated based on the maximum entropy principle,and the structural reliability index is solved by the direct integration method.Finally,the effectiveness of the proposed method is verified by an example using the calculation results of the Monte Carlo method as a reference.

关 键 词：广义多项式混沌 最大熵 强度退化 可靠性评估 海上风机 

分 类 号：TM315[电气工程—电机]