一种基于超长弹性细杆模型的大截面导线弧垂计算方法  

A method for sag calculation of conductor with large section based on super long thin elastic rod model

作　　者：彭波[1] 赵彬[2] 刘彬[2] 展雪萍[2] 杨加伦[2] 董玉明[2] 

机构地区：[1]国家电网公司,北京100031 [2]中国电力科学研究院,北京100055

出　　处：《电测与仪表》2018年第4期70-73,共4页Electrical Measurement & Instrumentation

基　　金：国家电网公司科技项目(GC71-16-006);国家自然科学基金资助项目(51678548)

摘　　要：随着特高压工程建设的大规模开展,具有载流量大、力学性能稳定等优势的大截面导线逐步应用于实际线路建设中。准确而合理地对该类型导线进行弧垂计算,是近年来线路设计与防振防舞工作面临的重要问题之一。文中充分考虑大截面导线的抗弯特性,采用超长弹性细杆模型的常扭率曲率方程,利用谐波平衡法计算了单档内导线曲率的分布函数,并结合Frenet-Serret矢量方程进行数值积分求解,得到导线的静态构形。经与悬链线公式和试验测试结论等结果比较,验证了文中方法的优势和有效性。With the development of large-scale ultra-high-voltage transmission projects,conductors with large section had been gradually applied to various transmission lines construction,which actually had obvious advantages in both big current carrying capacity and stable dynamics properties. Exactly and reasonably presenting the static configuration and sag of lines became one of the most important questions in designing of lines and anti-vibration works. In this paper,characteristics of bending stiffness of conductors with large section had been carefully considered. The equation with constant torsion curvature of super thin elastic rod model had been used,on this basis,the curvature distribution function of single conductor within the span had been calculated through the harmonic balance method. Combing with numerical integration solution of Frenet-Serret vector equations,the static configuration of conductor was obtained.The advantages and effectiveness of the proposed method were verified by comparing catenary formula with the test results.

关 键 词：超长弹性细杆 输电线路 大截面导线 弧垂 非线性动力学 

分 类 号：TM726.1[电气工程—电力系统及自动化]