同时考虑时变啮合刚度、啮合误差以及风速变化引起的外载荷波动,建立了1.5MW风力发电机齿轮传动系统的集中参数模型,并利用谐波平衡法,得到时变振动微分方程的解析解。在此基础上,建立了以各构件的振动加速度和系统体积/质量为目标函数的多目标动态优化模型,利用混合离散变量组合型法对其进行求解。计算结果表明,提出的系统建模和优化设计方法,可有效降低风电齿轮箱的振动水平和质量,为低噪声、低成本的风电齿轮箱的设计提供参考。
The differential equation which governs the behavior of the gear transmission system of 1.5 MW wind-turbine is established.The external excitation caused by wind speed fluctuation is discussed and the internal excitation due to time-varying mesh stiffness and comprehensive error is also analyzed.The calculating formulations of the harmonic balance method of nonlinear dynamic equations are presented.Then,the multi-objective dynamic optimization model is developed to minimize the value of vibration acceleration and the overall volume.The optimization of a practical example using mixed-discrete combined programming is performed.The result shows that the proposed method of modeling and optimization design can effectively reduce the wind turbines gearbox vibration levels and weight.