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Improved Calculation Of Sag For A Conductor Supported At Unequal Heights

机译:高度不等的导体下垂的改进计算

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The sag of conductors of an overhead line is determined from the horizontal tension at the lowest point of the conductors. In a conductor supported at unequal heights the lowest point is calculated, together with the horizontal tension, from hyperbolic expressions using an iterative procedure. In practice the hyperbolic functions are usually approximated by their first two terms. While the results are close to the actual values some differences may arise because the approximate methods may not converge to the exact values. The Newton Raphson sag method presented in the paper applies the Newton Raphson method to obtain fast convergence to the exact values. It is inherently more accurate than the classical iterative procedure based on approximating the hyperbolic functions; and the convergence criterion may be set as small as required. The method is also applicable to a conductor supported at equal heights.
机译:架空线的导体垂度由导体最低点的水平张力确定。在不等高支撑的导体中,使用迭代过程根据双曲线表达式计算最低点以及水平张力。实际上,双曲函数通常由其前两个项来近似。当结果接近实际值时,可能会出现一些差异,因为近似方法可能无法收敛到精确值。本文提出的牛顿拉夫森下陷法应用牛顿拉夫森法来快速收敛到精确值。从本质上讲,它比基于近似双曲函数的经典迭代过程更准确;收敛准则可以根据需要设置得很小。该方法也适用于以相同高度支撑的导体。

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