分裂导线扭转舞动分析的动力学建模

ON GALLOPING OF BUNDLED CONDUCTORS IN AN OVERHEAD TRANSMISSION LINE WITH LARGE TORSIONAL MOTION

高压输电线路导线覆冰舞动分析的主要困难，是由导线的大幅运动与随导线几何位形而变化的非线性气动力之间的相互耦合产生的。对伴有大幅扭转运动的分裂导线的舞动，由于安装了间隔棒和防舞器，必须考虑导线结构产生的约束非线性和重力非线性。本文应用虚功原理建立了整个分裂导线结构总值形的基本虚功方程，分析推导了间隔棒和防舞器的非线性动态特性与非线性约束特性，在此基础上，最后得到了分裂导线结构舞动分析的动力学模型．所得结果为进一步分析计算分裂导线的舞动打下一个基础。

The galloping phenomenon of bundled conductors in an overhead transmission line is complicated by the interaction between the large amplitude vibration of the conductors and the geometrically nonlinear, time-dependent aerodynamic loads. For bundled transmission line of long span, the galloping phenomenon is characterized by large amplitude, low frequency vibration with large global torsional motion. Non-linear geometric constraints and non-linear gravitational moments are present as a result of the spacers and galloping control devices. In this paper, a basic dynamic equation for bundled transmission lines in a global coordinate system is developed on the basis of virtual work principle. The non-linear dynamics of spacers and galloping control devices are investigated. A galloping model for dynamic configurations of bundled transmission lines is obtained. The present results lay down the foundation for further study of the problem.