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架空导线受力分析的数学模型──牛顿法在架空导线受力分析中的应用
引用本文:冀振国 王秀鸾. 架空导线受力分析的数学模型──牛顿法在架空导线受力分析中的应用[J]. 电力学报, 1996, 11(1): 57-63
作者姓名:冀振国 王秀鸾
作者单位:[1]太原电力高等专科学校 [2]山西电力中心调度局
摘    要:本文对架空导线的空间分布曲线、弧长和受力分析作了严格、完整的数学推证,并对导线承受拉力的计算方法──牛顿法进行了分析、论证,得出用于程序计算的数学模型;它比常规的幂级数前两项的近似算法既快,又准确。使架空导线受力分析的计算方法向前推进了一大步。

关 键 词:导线悬链线方程  导线拉力

The Mathematical Model of Pulling Force Analysis of Line Strung Neuton Method Used In Pulling Fovce Analysis Of Line Strung
Ji Zhengguo. The Mathematical Model of Pulling Force Analysis of Line Strung Neuton Method Used In Pulling Fovce Analysis Of Line Strung[J]. Journal of Electric Power, 1996, 11(1): 57-63
Authors:Ji Zhengguo
Affiliation:Ji Zhengguo(Taiyuan Institute of Electric Power)Wang xiuluan(The dispatching centre of electricity power system of SHAN XI)
Abstract:The paper makes a strict and complete mathematical proof of the distribute curveand the arc length of the overhead wire,and the analysis of accetance of power. It obtains amathematical model for program calculation by the analysis and proof of the calculationmuthod ──Newton Method of aueptano of pulling force of the line strung,which is fasterand more acurate than the conventional algarithm of the preoding two items of power series.It makes a great step forward to the calallation method of the analysis of power of the over-head wire
Keywords:Catenary equation of line strung  pulling force of line strung  
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