覆冰四分裂导线舞动数值模拟方法

 覆冰四分裂导线舞动问题严重威胁超高压线路的安全运行，研究舞动理论可有效推动防舞技术的发展。采用具有3 个平动自由度和1 个扭转自由度的两节点索单元模拟分裂导线各子导线，利用空间梁单元模拟间隔棒，建立可考虑子导线尾流效应的舞动分析有限元模型。采用对加速度中心差分、速度向后差分的时间积分法对舞动进行非线性数值求解，利用Matlab 编制相应的计算程序，运用该方法对典型算例的舞动进行数值模拟。通过数值模拟分析比较了考虑子导线尾流影响和不考虑子导线尾流影响情况下导线的舞动。结果表明：该方法可有效模拟覆冰四分裂导线的舞动特性，编写的求解程序具有较高的计算精度和效率，可为舞动防治技术的研究提供参考。

Numerical Simulation of Galloping of Iced Quad-Bundled Conductor

The galloping of a quad- bundled conductor seriously threats the safe operation of the issue of EHV lines, and a theoretical study of galloping can effectively help the development of anti-dance techniques. A two-node cable element with three translational and one torsional degrees of freedom at each node is utilized to imitate the bundled conductor, and a two-node space beam elements are used to simulate the spacers, thus to establish the galloping finite element analysis model with considerations of the sub- conductor wake interference. The finite element equation is solved by the time integration method and the calculation program is compiled in Matlab. The central difference method is used to deal with the acceleration and the velocity is handled by the backward difference method. Typical examples of the galloping are simulated. With numerical simulations, the dancing in consideration of the effect of the sub-conductor wake is compared with that without. It is shown that this method can effectively simulate the galloping of ice quad-bundled conductors, the algorithms enjoy high accuracy and efficiency, and can be used in the design to prevent the dancing.