输电线路非线性耦合振动的动力学模型与分析

Modeling and Analysis of Nonlinear Coupled Vibration of Transmission Line System

考虑输电导线几何非线性效应,将直线塔绝缘子串简化为一个转动的刚体,推导了两档导线平面内相互耦合的非线性振动方程。研究了不同工况下两档导线的耦合振动特性和能量传递机理,当两档导线的固有频率满足特定的关系时,系统会引起共振。分析了阻尼的位置和大小对导线衰减振动的影响,在导线上施加阻尼的减振控制效果远优于在绝缘子串处施加阻尼的效果。该研究结果可为输电导线系统的减振设计提供理论依据和参考。

The nonlinear coupled in-plane vibration equations of two spans transmission line system were derived,in which the geometric nonlinearity of transmission line was considered,and the insulator string of straight tower was simplified to a rotation rigid body.The characteristic of nonlinear coupling vibration and the mechanism of energy transfer were studied under different working conditions.When the natural frequencies of two spans transmission lines have a certain relationship,the system resonance is triggered.The influences of damping coefficient of damper and its location on attenuated vibration of transmission line were analyzed,and the dampers installed on transmission line can obtain stronger vibration control effect than on insulator string.The studied results provide a theoretical base for further investigating the design of transmission line system for vibration reduction.