基于绝对节点坐标法的架空线断线工况动力学计算  

Dynamics calculation of an overhead transmission line breaking condition based on the absolute nodal coordinate formulation

作　　者：杨文刚[1,2] 李润泽 刘岩[1] YANG Wengang;LI Runze;LIU Yan(School of Energy Power and Mechanical Engineering,North China Electric Power University,Baoding 071003,China;Hebei Key Laboratory of Electric Machinery Health Maintenance&Failure Prevention,North China Electric Power University,Baoding 071003,China)

机构地区：[1]华北电力大学能源动力与机械工程学院,河北保定071003 [2]华北电力大学河北省电力机械装备健康维护与失效预防重点实验室,河北保定071003

出　　处：《振动与冲击》2024年第22期118-125,145,共9页Journal of Vibration and Shock

基　　金：中央高校基本科研业务费专项资金(2022MS096)。

摘　　要：为了计算架空线断线工况下的动力学变化特性,考虑架空线的绞制几何结构及其初始构型的布置特点,以绝对节点坐标法为基础,建立了架空线单元,推导了架空线单元的质量矩阵和弹性力矩阵,给出了架空线的系统动力学方程。针对钢芯铝绞线的绞制几何结构,给出了其对应的轴向、弯曲刚度计算公式。通过仿真计算得到线缆的运动图像,设计试验验证了算法模型的可靠性。结合实际架空线初始位形和初始应力特点,对不同初始应力下的架空线断线工况动力学问题进行仿真分析,绘制了悬挂点处的受力时程曲线并对曲线进行了频谱分析,研究了初始应力对断裂架空线运动过程以及悬挂点受力的影响规律。In order to calculate the dynamic change characteristics of overhead lines under the condition of lines breakage,considering the layout characteristics of the twisted geometry and initial configuration of overhead lines,an overhead line element was established based on the absolute nodal coordinate formulation.The mass matrix and elastic force matrix of the overhead line element were derived,and the system dynamic equation of the overhead line was presented.The formulas for calculating the axial and bending stiffness of the steel core aluminum strand were provided.The motion image of the cable was obtained through the simulation calculation,and the reliability of the algorithm model was verified by the design experiment.Based on the actual initial configuration and initial stress characteristics of the overhead line,the dynamics behaviors in overhead line breaking conditions under different initial stresses were simulated and analyzed.The stress time history curve at the suspension point was drawn and the spectrum of the curve was analyzed.The influence of initial stress on the motion process of the overhead line breaking and the stress at the suspension point was studied.

关 键 词：架空线断线 钢芯铝绞线 刚度修正 绝对节点坐标法 动力学仿真计算 

分 类 号：O313[理学—一般力学与力学基础]