两档输电线路的非线性耦合振动特性研究

发布时间：2018-08-11 16:03

【摘要】：随着我国经济和社会的高速发展，对电力能源的需求量也越来越大。“十二五规划”指出电力工业的发展目标是从全国联网向建立智能电网的发展阶段转变。可靠、有效和安全的电力供应是保证社会生产和生活正常运转的重要物质技术基础，关系到社会稳定与国家安全。输电线路的覆冰与脱冰对电力安全的供应带来极大的威胁。因此有必要研究输电导线在覆冰与脱冰过程中的静力学与动力学特性，从而指导输电线路的建设与维护，增强输电线路抵御各种灾害的能力。脱冰跳跃引起的输电线路面内非线性振动问题与输电线路的固有振动特性有关。基于以上考虑，本论文在孤立档动力学理论建模的基础之上，建立两档输电线路面内非线性振动的理论分析模型，旨在研究输电线路耦合振动的机理。全文各章围绕此中心问题展开研究，主要内容包括： (1)通过对输电线路各部件力学性能的深入认识，得到了输电线路简化的力学分析模型。其次，总结归纳输电线路在静力作用下的初始构形公式即抛物线公式和悬链线公式。 (2)利用输电导线初始构形的简化公式（抛物线公式），以两档输电导线组成的一个耐张段作为研究对象，根据牛顿定律和弹性力学方法，建立两档输电导线面内振动的偏微分方程。运用伽辽金方法得到两档输电线路非线性耦合振动的常微分方程组。 (3)运用数值计算软件求解两档输电导线非线性耦合方程组，得到系统在不同结构参数和初始条件下振动的位移时程曲线。数值分析结果揭示了两档输电导线之间的耦合振动机理，，发现了避免或减少输电导线面内耦合振动的有效途径，探讨了两档输电线路系统的1:1和2:1非线性内共振现象。
[Abstract]:With the rapid development of economy and society in our country, the demand for electric energy is increasing. The 12th Five-Year Plan points out that the development goal of electric power industry is to change from national networking to the establishment of smart grid. Reliable, effective and safe power supply is an important material and technical basis to ensure the normal operation of social production and daily life, which is related to social stability and national security. The icing and deicing of transmission lines pose a great threat to the power supply. Therefore it is necessary to study the static and dynamic characteristics of transmission lines in the process of icing and deicing so as to guide the construction and maintenance of transmission lines and enhance the ability of transmission lines to resist various disasters. The in-plane nonlinear vibration of transmission lines caused by deicing and jumping is related to the inherent vibration characteristics of transmission lines. Based on the above considerations, a theoretical analysis model of in-plane nonlinear vibration of two transmission lines is established on the basis of the dynamics theory of isolated transmission lines. The purpose of this paper is to study the mechanism of coupling vibration of transmission lines. The main contents of this paper are as follows: (1) the simplified mechanical analysis model of transmission line is obtained by deeply understanding the mechanical properties of each component of transmission line. Secondly, The initial configuration formula of transmission line under static action, namely parabola formula and catenary formula, is summarized. (2) by using the simplified formula of transmission wire initial configuration (parabola formula), the transmission line is composed of two transmission conductors. As an object of study, Based on Newton's law and elastic method, a partial differential equation of in-plane vibration of two transmission lines is established. The Galerkin method is used to obtain the ordinary differential equations of nonlinear coupled vibration of two-stage transmission lines. (3) the nonlinear coupled equations of two-stage transmission lines are solved by numerical calculation software. The displacement history curves of the system under different structural parameters and initial conditions are obtained. The numerical results reveal the mechanism of coupling vibration between two transmission lines, find an effective way to avoid or reduce the in-plane coupling vibration of transmission lines, and discuss the nonlinear resonance phenomenon of 1:1 and 2:1 in the two-stage transmission line system.
【学位授予单位】：湖南科技大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TM751;TU311.3

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