输电线面外模态及频率研究  

Out-plane mode and natural frequency of transmission line

作　　者：刘小会[1] 秦昌[1] 张路飞[1] 侯睿[1] 严波[2] 

机构地区：[1]重庆交通大学土木工程学院,重庆400074 [2]重庆大学航空航天学院,重庆400044

出　　处：《应用力学学报》2017年第3期431-437,共7页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(51308570;51277186);重庆市教委科学技术研究项目(KJ1400302);博士点联合基金(20125522120003)

摘　　要：建立悬垂绝缘子串绕悬挂点转动的动量矩方程及悬索面外运动的微分方程,结合子结构法及位移连续条件首次提出了连续档导线面外模态及频率的理论计算方法。采用ABAQUS软件建立输电线有限元模型,通过具体算例验证了理论公式的正确性,同时还说明该理论方法适用于任意档数的输电线路。对输电线模态研究表明:输电线路中不同档导线之间相互影响,面外模态不具有对称性或反对称性,与单档导线面外模态区别明显;连续档导线面外模态对应的量纲为一的频率?/π随张力变化为曲线,而单档导线为常数;以三档导线为例,当张力满足一定条件时面内模态与面外模态可以产生1∶1共振。Differential equation of the suspended cable for the out-plane motion and moment-of-momentum equation of suspension insulator string around the appending point are established.Theoretical calculation method for out-plane modes and natural frequencies of transmission line combining substructure method and displacement continuous condition is proposed for the first time.The theoretical calculation method for out-plane modes and natural frequencies of transmission line is validated by comparison with the finite element model via ABAQUS,it shows the method can be applied to arbitrary multi-span transmission line.The transmission line mode analysis shows that in transmission line there is an interplay between multi-span conductors,out-plane modes of continuous span conductors do not possess the character of symmetry or anti-symmetry,unlike the single span.The law of the variation of dimensionless frequency w/π for continuous span conductors with tension is a curve,and dimensionless frequency for single span conductors is constant.Theoretical analysis shows that 1:1 internal resonance for out-plane modes and in-plane modes of three span conductors may occur when tension satisfies certain conditions.

关 键 词：输电线 连续档 模态 固有频率 内共振 

分 类 号：TM753[电气工程—电力系统及自动化] TM039