山地输电线动刚度计算及模态分析

为了揭示地形变化对连续档输电线动态特性的影响，本文提出了基于任意高差角的动刚度理论．首先将单档导线视为连续档导线的子结构，构建了两悬挂点不等高的单档导线振动方程，并在该理论方程中引入了二次项，能够考虑重力沿弦向分量的影响，推导出绝缘子串绕其悬挂点转动的动刚度计算方法，通过动刚度理论研究连续档导线横向振动模态和频率，并应用有限元软件ABAQUS 验证理论模态和频率公式的准确性．所得结果表明，动刚度的计算方法具有较高的精度，理论模态与有限元输出结果吻合较好，同时获得的频率和模态可为山地高压输电线路防舞技术的研究提供依据．

Dynamic Stiffness Calculation and Modal Analysis of Mountain Transmission Line

In order to reveal the effect of terrain change on the dynamic characteristics of continuous transmission lines, this paper presents a dynamic stiffness theory based on arbitrary height difference angle. First, a single wire is considered as a substructure of a continuous wire. The vibration equation of a single transmission line with two suspension points is constructed, and two terms are introduced in the theory equation. Considering the influence of gravity along the chord direction, the dynamic stiffness calculation method of the insulator string around its hanging point is deduced. The dynamic stiffness theory is used to study the transverse vibration mode and frequency of the continuous wire, and the finite element software ABAQUS is used to verify the accuracy of the theoretical mode and frequency formula. The results show that the calculation method of dynamic stiffness has high accuracy, and the theoretical mode is in good agreement with the output of finite element. At the same time, the frequency and mode obtained can provide the basis for the study of the anti-dancer technology of the mountain high voltage transmission line.