覆冰导线舞动响应的双参数分岔研究  

Double-parameter Bifurcation Study on Galloping of Iced-bundle Conductor

作　　者：楼文娟[1] 杨伦[1] 潘小涛[1] 阎东[2] 杨晓辉[2] 

机构地区：[1]浙江大学结构工程研究所,浙江省杭州市310058 [2]河南省电力公司电力试验研究院,河南省郑州市450052

出　　处：《中国电机工程学报》2014年第36期6592-6600,共9页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51178424;51378468)~~

摘　　要：为揭示覆冰分裂导线舞动响应随双参数同时变化的规律,建立了覆冰分裂导线面内、面外和扭转耦合的非线性运动模型,并利用Galerkin积分、Routh-Hurwitz判据准则分析了覆冰导线在参数空间中的稳定域和非稳定域。以风速和风攻角为分岔参数,应用中心流形降维方法获得了原系统在平衡点附近的约化系统。采用将分岔参数视为系统状态变量的方式,把含参数的约化系统转化为不含参数的扩张系统,并结合规范形理论分段求解了导线运动方程在极坐标下的5阶Hopf分岔规范形,最后采用数值解对计算结果进行了验证。研究结果表明:所提出的理论模型能够有效预测覆冰输电线路的初始稳定性以及舞动响应在风速–初始风攻角参数空间中的变化特征。In order to study the features of simultaneous varieties of galloping for iced-bundled conductor, a nonlinear dynamic model considering coupling effect of in-plane, out-of-plane and the torsion vibrations of iced-bundled conductor was developed. Galerkin integral method and Routh-Hurwitz criterion were introduced to obtain the stable and unstable region in parametric space. The reduced equations of galloping model were determined through central manifold theory. Then by regarding bifurcation parameters as state variables, Hopf bifurcation equations sectional solution of reduced system were calculated with the help of normal form theory in polar coordinates. The results show that the stability and galloping responses in double-parametric space of iced transmission line can be determined reliably and precisely.

关 键 词：覆冰分裂导线 舞动 双参数分岔 中心流形定理 规范形 

分 类 号：TM751[电气工程—电力系统及自动化]