RESEARCH ON PARAMETER ANALYSIS AND DESIGN OF TRANSMISSION LINE-ANTI-GALLOPING DAMPER SYSTEM
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摘要: 针对目前覆冰导线舞动频发现状，提出了一种通过在导线靠近输电塔位置处设置阻尼器来减振耗能从而实现输电线路舞动抑制的方法。基于Hamilton原理运用多阶伽辽金函数推导得到了导线-阻尼器系统的广义运动方程，并以某750 kV单档八分裂输电线路为例进行运动方程特征值分析，得到了导线-阻尼器系统的动力特性，探索了导线的垂度参数、阻尼器安装位置、阻尼系数及刚度系数等对系统等效阻尼比的影响，阻尼器安装位置越靠近跨中，系统的最大阻尼比提升效果越明显，两侧对称安装阻尼器可以有效地减小最优阻尼系数。采用数值算例和有限元数值仿真技术比较了粘滞阻尼器与负刚度阻尼器(NSD)对导线系统的减振效果，并针对NSD提出了参数的优化设计方法。研究表明：相比传统阻尼器，NSD可以在较低阻尼系数下有效地提高系统各阶的最大阻尼比，且能够明显降低导线系统的自振频率；系统所能达到的一阶最大阻尼比对NSD安装位置的变化不敏感；通过有限元仿真证实了，基于NSD的输电导线阻尼器设置方案相较于传统阻尼器方案具有更好的防舞性能。Abstract: In view of the current frequent occurrence of iced conductors galloping, a method for suppressing galloping of transmission lines is proposed, which is achieved by installing dampers at a position where the conductor is close to the transmission tower to reduce vibration and increase energy consumption. Based on the Hamilton principle, the generalized motion equation of the conductor-damper system is derived using multi-order Galerkin functions. Taking a 750 kV single-span 8-bundled transmission line as an example, the eigenvalue analysis of the motion equation is carried out, and the dynamic characteristics of conductor-damper system are obtained. The influence of conductor sag parameters, damper installation position, damping coefficient and stiffness coefficient on the equivalent damping ratio of the system is explored. The closer the installation position of the damper to the middle of the span, the more obvious the improvement effect of the maximum damping ratio of the system; and the symmetrical installation of the damper can effectively reduce the optimal damping coefficient. Numerical examples and finite element numerical simulations are used to compare the vibration damping effects between traditional viscous dampers and negative stiffness dampers (NSD) on the conductor system, and a parameter optimization design method is proposed for NSD. Research shows that, compared with traditional viscous dampers, NSD can effectively increase each order’s maximum damping ratio of the system at a lower damping coefficient, and significantly reduce the natural frequency of the system as well. The maximum first-order damping ratio is not sensitive to the change of the installation position of NSD. The finite element simulation proves that the NSD has better anti-galloping performance than traditional viscous damper schemes.
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Key words:
- transmission line /
- NSD /
- equivalent damping ratio /
- anti-galloping /
- numerical simulation /
- eigenvalue
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图 3 不同伽辽金阶数下的系统一阶等效阻尼比
Figure 3. First-order equivalent damping ratio of system under different Galerkin orders
图 4 不同垂度参数下的一阶等效阻尼比
Figure 4. First-order equivalent damping ratio of system under different sag parameters
图 5 不同垂度参数下的系统高阶等效阻尼比
Figure 5. High-order equivalent damping ratios under different sag parameters
图 6 不同阻尼器安装形式下的系统一阶等效阻尼比
Figure 6. The first-order equivalent damping ratio of the system under different installation forms of dampers
图 7 不同阻尼器安装位置下的系统动力特性
Figure 7. Dynamic characteristics of the system under different damper installation positions
图 8 不同垂度参数下的系统动力特性
Figure 8. Dynamic characteristics of system under different sag parameters
图 9 不同NSD安装位置下的系统动力特性
Figure 9. Dynamic characteristics of system under different NSD installation positions
图 11 各风攻角下的舞动临界阻尼比
Figure 11. Critical damping ratio of galloping under various wind attack angles
图 12 两种阻尼器对系统阻尼比的提升情况
Figure 12. The improvement of damping ratio by two kinds of dampers
图 13 77°风攻角下安装阻尼器前后防舞效果对比
Figure 13. Comparison of anti-galloping effects before and after installing dampers under 77° wind attack angle
图 14 171°风攻角下安装阻尼器前后防舞效果对比
Figure 14. Comparison of anti-galloping effects before and after installing dampers under 171° wind attack angle
表 1 子导线物理参数表
Table 1. Physical parameters of sub-conductors
参数 数值 裸导线直径D/m 0.03 分裂半径R/m 0.5226 初始阻尼比ξy, ξz, ξθ/(%) 0.22/0.22/1.42 轴向刚度AE/kN 34 560 裸导线线密度ρ/(kg/m) 1.68 覆冰最大厚度hice/mm 10/15/20/25/30 额定拉断力Tmax/kN 128.10 转动惯量I/(kg·m2/m) 0.001 59 y轴静距Sy/(kg·m/m) 0.00 z轴静矩Sz/(kg·m/m) 0.0035 注：转动惯量、y轴静距、z轴静距均为单位长度的物理量。 
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表 2 防舞阻尼器设计参数
Table 2. Design parameters of anti-galloping damper
设计参数 粘滞阻尼器 NSD 刚度/(N/m) 0
7120−8000 阻尼/(N·s/m) 4160 安装位置/m xd1=xd2=L/10
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