覆冰导线舞动响应的双参数分岔研究

发布时间：2018-08-13 16:13

【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。
[Abstract]:In order to reveal the law that the galloping response of ice-coated split conductors changes simultaneously with two parameters, a nonlinear motion model of in-plane, off-plane and torsional coupling of ice-coated split conductors is established. The Galerkin integral Routh-Hurwitz criterion is used to analyze the stable and unstable regions of ice-coated conductors in the parameter space. With wind speed and angle of attack as bifurcation parameters, the reduced system near the equilibrium point of the original system is obtained by using the method of reducing the dimension of the center manifold. In this paper, the bifurcation parameters are regarded as state variables of the system, the reduced system with parameters is transformed into an extended system without parameters, and the five-order Hopf bifurcation canonical form of the traverse equation of motion is solved in polar coordinates with the help of the normal form theory. Finally, the numerical solution is used to verify the calculation results. The results show that the proposed theoretical model can effectively predict the initial stability of ice-covered transmission lines and the variation characteristics of the galloping response in the parameter space of the initial wind attack angle of wind speed.
【作者单位】：浙江大学结构工程研究所;河南省电力公司电力试验研究院;
【基金】：国家自然科学基金项目(51178424,51378468)~~
【分类号】：TM75

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