连续档架空线路动态风偏的多刚体模型  

Multi-rigid-body model of dynamic wind-induced deflection for overhead transmission lines

作　　者：胡鑫 王璋奇[1] 杨文刚[1] HU Xin;WANG Zhangqi;YANG Wengang(Department of Mechanical Engineering,North China Electric Power University,Baoding 071003,China)

机构地区：[1]华北电力大学机械工程系,河北保定071003

出　　处：《中南大学学报（自然科学版）》2020年第12期3465-3474,共10页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51608195);中央高校基本科研业务专项基金资助项目(2019QN130)。

摘　　要：针对传统静力学分析方法无法计算架空线路的动态风偏响应、有限元方法模型复杂且运算时间长等问题,提出一种大风工况下连续档架空线路动态风偏的多刚体计算模型。首先,将架空线路绝缘子串视为质量均匀分布的刚性直杆,根据导线在风偏均值处摆动固有频率不变原则推导得出导线等效刚体模型,通过来流风与架空线路的相对运动考虑气动阻尼,运用分析力学方法,建立连续档架空线路动态风偏的多刚体模型与计算方法;其次,采用随高度变化的Kaimal风速谱和Davenport相干函数模拟脉动风场的空间分布,通过工程实例计算架空线路多刚体模型的动态风偏响应变化规律;最后,对多刚体模型进行模态分析,并将多刚体模型与传统静力学方法、有限元方法计算得到的工程实例风偏响应结果进行比较,验证多刚体模型的准确性与效率性。研究结果表明:架空导线自身柔性对绝缘子串风偏响应影响较小,连续档架空线路动态风偏多刚体模型能够准确高效地计算架空线路绝缘子串风偏角的动态响应变化规律,并可以有效呈现连续档架空线路中各个绝缘子串风偏运动的相对位置变化;相较于传统静力学分析方法,多刚体模型可以考虑架空线路风偏响应的动态特性,能够计算最大风偏角;相较于有限元方法,多刚体模型运算时间少,计算效率高。Traditional static analysis method cannot calculate the dynamic wind-induced deflection response of overhead lines,and the finite element method(FEM)was complicated model and cost long calculation time.Aiming at the problems,a multi-rigid-body model for calculation of the dynamic wind-induced deflection response of overhead transmission lines under high wind conditions was proposed.Firstly,the insulator string was regarded as a rigid straight rod with uniform mass,and the equivalent rigid rod of conductor was derived based on the principle that the natural frequency of the conductor swings at the mean value of the wind-induced deflection is constant.The aerodynamic damping was calculated according to the relative movement of the incoming wind and the overhead line,and further the multi-rigid-body model of dynamic wind-induced deflection of overhead transmission lines was established by the analytical mechanics method.Secondly,the spatial distribution of the fluctuating wind field was simulated based on the Kaimal spectrum and the Davenport coherence function.On the basis,the variation law of dynamic wind-induced deflection response of the multi-rigid-body model of the overhead lines was obtained from an engineering example.Finally,the modal analysis of the multi-rigid-body model was carried out,and the wind-induced deflection responses obtained by the multi-rigid-body model were compared with those obtained by the traditional static method and FEM,which verified the accuracy and efficiency of the multi-rigid-body model.The results show that the flexibility of conductor has little effect on the wind-induced deflection response of the insulator strings.Moreover,the multi-rigid-body model can calculate the dynamic wind-induced deflection response of the insulator strings accurately and efficiently,which can present the relative position changes of the wind-induced deflection of each insulator string in the overhead transmission lines.Compared with the traditional static analysis method,the multi-rigid body model can

关 键 词：连续档架空线路 绝缘子串动态风偏 多刚体模型 计算效率 

分 类 号：TM75[电气工程—电力系统及自动化] O325[理学—一般力学与力学基础]