Method and Mathematical Model of Suppressing Forced Vibrations in Single Conductors of High-Power Transmission Lines

IF 0.7 4区 材料科学 Q4 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Strength of Materials Pub Date : 2024-05-08 DOI:10.1007/s11223-024-00629-5
V. P. Legeza
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Abstract

A new method to suppress the galloping of electric conductors in high-power transmission lines based on isochronous roller vibration dampers is proposed. The mathematical model of the dynamic process of suppressing the conductor galloping was constructed, including the interaction effect of the damper and string of insulators as a bearing body. This model differs from the previous ones since it accounts for the string rotation together with the damper due to its deviation from the vertical and special shaping of the damper grooves. The mathematical vibration protection model was devised with two nonlinear differential equations, which, after their linearization and integration, can find the amplitude-frequency response equation in the linear statement of the problem. The formula was analytically derived for the natural vibration frequency of the working body center of mass in the isochronous damper, which does not include the roller radius. The critical control damper parameters, which affect the suppressing quality and efficiency of forced conductor vibrations, are defined. The graph-numerical method was advanced to determine the optimum parameters of the damper adjustment. The damper offers the advantage of its natural frequency independence of the working body amplitude. This property provides high adjustment accuracy of its parameters and best performance over the low-frequency range. The isochronous damper can greatly decrease the conductor galloping level: the angle of the insulator string deviation from the vertical can be reduced fivefold.

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抑制大功率输电线路单导体受迫振动的方法和数学模型
提出了一种基于等速滚柱减振器的抑制大功率输电线路中导体滑行的新方法。构建了抑制导体滑行动态过程的数学模型,包括阻尼器与作为承载体的绝缘子串的相互作用效应。该模型不同于以往的模型,因为它考虑到了绝缘子串因偏离垂直方向和阻尼器沟槽的特殊形状而与阻尼器一起旋转的情况。振动保护数学模型由两个非线性微分方程组成,经过线性化和积分后,可以在问题的线性陈述中找到幅频响应方程。通过分析得出了等速阻尼器中工作体质心的自然振动频率公式,其中不包括滚筒半径。定义了影响强制导体振动抑制质量和效率的关键控制阻尼器参数。采用图形-数值方法确定了阻尼器调节的最佳参数。阻尼器的优势在于其固有频率与工作体振幅无关。这一特性使其参数调节精度高,在低频范围内性能最佳。等速阻尼器可大大降低导线的驰度:绝缘子串偏离垂直方向的角度可减少五倍。
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来源期刊
Strength of Materials
Strength of Materials MATERIALS SCIENCE, CHARACTERIZATION & TESTING-
CiteScore
1.20
自引率
14.30%
发文量
89
审稿时长
6-12 weeks
期刊介绍: Strength of Materials focuses on the strength of materials and structural components subjected to different types of force and thermal loadings, the limiting strength criteria of structures, and the theory of strength of structures. Consideration is given to actual operating conditions, problems of crack resistance and theories of failure, the theory of oscillations of real mechanical systems, and calculations of the stress-strain state of structural components.
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