架空线应力弧垂曲线的Matlab实现

Matlab realization of stress-curve or hang-down-arc-curve of overhead line

架空输电线路应力弧垂曲线为线路杆塔设计、计算、施工提供技术资料。针对传统的绘制方法存在效率低、质量差等缺点,通过对应力和弧垂的计算及过程分析、考虑了控制气象条件的主要因素、根据架空线状态方程的特点、采用牛顿迭代法、应用Matlab语言编制了架空线应力和弧垂的计算程序。依据该程序,输入线路的基本参数和迭代初值即可迅速而准确地计算出应力和弧垂值。结合实例绘制了应力弧垂曲线。结果表明该方法可以极大地提高应力和弧垂的计算精度,有效克服人为误差,简化线路设计工作,提高线路设计效率和质量。建议应用在架空输电线路施工和运行中。

Stress-curve or hang-down-arc-curve of the overhead transmission line provided technical materials for the design of tower-line and construction calculation.The traditional drawing method had some shortcomings, including low efficiency and poor quality,etc. Aiming at the fact, through analyzing the calculation and process of stress and hang-down-arc, considering the main factors of control climate condition, according to the characteristics of state equation of overhead line, and adopting newton iteration method, the calculation program of stress and hang-down-arc of overhead line was compiled by MATLAB language. Based on the program, in case that the basic parameters and iterative initial value of the line were input, the stress and hang-down-arc could be calculated quickly and accurately. Finally, the stress-curve or hang-down-arc-curve was drawn with example. The results indicate that this method can greatly improve the calculating accuracy of the stress and hang-down-arc, effectively overcome the artificial error, simplify design work of line, and improve the efficiency and quality of line design. The method presented in this paper can be applied in the construction and operation of the overhead transmission line.