不同自由度下覆冰四分裂导线舞动特征分析

基于哈密顿变分准则，推导了单档导线的振动控制方程，通过建立的气动荷载模型得到考虑气动荷载影响的覆冰导线舞动控制方程．进行风洞试验并得到覆冰四分裂导线的三分力气动系数，利用泰勒定律将气动系数在攻角α = 0处展开，得到了气动系数的三次拟合曲线．采用摄动法求解了二自由度下覆冰导线的位移响应，接着采用数值法求解了三自由度下覆冰导线的位移响应．最后，通过具体的数值算例分析了两者位移响应的区别．算例分析表明：二自由度下覆冰导线的位移响应与三自由度下覆冰导线的位移响应存在一定的区别，三自由度下覆冰导线的舞动更符合导线真实状态下的舞动，其结果更具有参考价值．

Analysis of Galloping Characteristics of Iced Quad Bundle Conductor with Different Degrees of Freedom

In this paper, the governing equations of the iced conductor are derived by Hamilton's principle, and then the governing equations of the galloping of the iced conductor are obtained by the aerodynamic model. The aerodynamic coefficients of the iced quad bundle conductor are obtained by wind tunnel test. The aerodynamic coefficients are expanded at the angle of attack α = 0 by Taylor's law. Finally, the cubic fitting curve of the aerodynamic coefficients is obtained. The difference between the displacement response of the iced conductor with three degrees of freedom and that of the iced conductor with two degrees of freedom is analyzed through a specific numerical example. The results show that there is a certain difference between the displacement response of the iced conductor with two degrees of freedom and that with three degrees of freedom. The galloping of the iced conductor with three degrees of freedom is closer to the real galloping of the conductor, and endows more reference value to the results.