时滞速度反馈控制下的架空输电线减振分析  

Vibration reduction analysis of overhead transmission line under time-delay velocity feedback control

作　　者：蔡萌琦 胡茂明 杨曙光 包婉玉 闵光云 CAI Mengqi;HU Maoming;YANG Shuguang;BAO Wanyu;MIN Guangyun(School of Architecture and Civil Engineering,Chengdu University,Chengdu 610106,China;School of Mechanical Engineering,Chengdu University,Chengdu 610106,China;School of Civil Engineering,Central South University,Changsha 410075,China;Sino-French Institute of Nuclear Engineering and Technology,Sun Yat-sen University,Zhuhai 519082,China)

机构地区：[1]成都大学建筑与土木工程学院,四川成都610106 [2]成都大学机械工程学院,四川成都610106 [3]中南大学土木工程学院,湖南长沙410075 [4]中山大学中法核工程与技术学院,广东珠海519082

出　　处：《自然灾害学报》2025年第1期156-166,共11页Journal of Natural Disasters

基　　金：国家自然科学基金项目(51507106);中国博士后科学基金项目(2021M702371)。

摘　　要：为保证我国电力能源输送通道安全,减小舞动给电力系统带来的危害,引入轴向时滞速度反馈控制策略对输电线舞动进行控制。利用Hamilton原理建立了带时滞特征的覆冰输电线非线性舞动方程。经归一化和Galerkin离散后,得到输电线舞动常微分方程。利用多尺度法分别推导了主共振幅频响应方程和一阶稳态近似解,及谐波共振幅频响应方程,分析了不同参数对输电线振动的影响。研究结果表明:主共振响应下输电线舞动幅值随时滞值变化呈现出周期性,随控制系数增加而减小,随外部激励增加而增加;不同谐波共振类型表现出不同特性。采取轴向时滞速度反馈控制策略抑制输电线舞动时,需要综合考虑不同参数对输电线振动的影响,通过调整时滞参数来调整共振区范围和幅值来达到最佳效果。To ensure the safety of power energy transmission channel and mitigate the hazards posed by line galloping,an axial time-delay velocity feedback control has been implemented.Utilizing Hamilton s principle,a nonlinear galloping equation characterized by time-delay features for iced transmission lines was established.Following normalization and Galerkin discretization,the ordinary differential equation for galloping was derived.The multi-scale method facilitated the derivation of the main resonance amplitude-frequency response equation and the first-order steady-state approximation,as well as the harmonic resonance amplitude-frequency response equations.The influence of various parameters on the amplitude of iced transmission lines vibrations was analyzed.The conductor amplitude of the primary resonance exhibits periodicity as time-delay values vary.The amplitude diminishes with increased control coefficients and increases with external excitation.Different characteristics are displayed among various harmonic resonance types.When implementing an axial time-delay velocity feedback control strategy to suppress galloping,it is essential to comprehensively assess the impact of various parameters on the vibrations of iced transmission lines.By adjusting the time-delay parameters,the range and amplitude of the resonance zone can be modified to achieve optimal results.

关 键 词：架空输电线 舞动 时滞速度反馈控制 主共振 谐波共振 

分 类 号：TM75[电气工程—电力系统及自动化] X43[环境科学与工程—灾害防治]