覆冰导线驰振时其极限环幅值反馈控制

首先推导了单档覆冰导线面内驰振运动方程，接着进行了风洞试验，得到了导线的三分力气动参数。利用多尺度法分析了导线的极限环，引入线性反馈控制函数、二次非线性反馈控制函数以及三次非线性反馈控制函数对导线驰振时所产生的极限环进行控制,最后通过具体的数值算例进行验证。结果分析表明：线性反馈控制函数与三次非线性控制函数皆能有效的控制导线的幅值，但二次非线性控制函数对导线的幅值不起控制效果。针对具体的覆冰导线，选取合适的反馈控制函数能使得导线发生驰振运动时的幅值大幅降低，能保证工程结构的稳定性和安全性。

Study on the control system about the amplitude of limit cycle under the galloping of iced conductor

The galloping equation of single-span iced conductor is derived, and then the wind tunnel test is carried out to obtain the aerodynamic parameters of the conductor. The limit cycle of the conductor is analyzed by the method of multiple scales. The linear feedback control function, the second-order nonlinear feedback control function, and the third-order feedback control function are introduced to control the limit cycle when the galloping of the conductor. Finally, a numerical example is given to verify the results. The results show that both the linear feedback control function and the third-order nonlinear control function can effectively control the amplitude of the conductor, but the second-order nonlinear control function has no effect on the amplitude of the conductor. For a specific iced conductor, selecting a proper feedback control function can greatly reduce the amplitude of galloping for conductor, and ensure the stability and safety of the engineering structure.