悬挂式母线短路时动应力的数值计算

本文采用1]、2]中提出的分布参数动力法来计算短路时母线相间应力(即动稳定)。此法如实的把母线看做质量、弹性、阻尼都是分布的樑,因而能更正确地反映母线的动态特性。3]中考虑了多跨、弹性支持、内阻尼(铝材内部摩擦)、外阻尼(空气阻力)等因素。本文在3]的基础上又多考虑了一项水平拉力的作用,可同时算出母线的动应力和动态支点反力。描述上述物理问题的数学模型为一五阶抛物型方程。本文采用有限差分法进行数值求解。计算结果表明:加上一不大的水平拉力后(和其它物理量比较而言),对计算结果影响不大。文中还对显示格式的计算稳定性条件进行了推导。结果表明:加上水平拉力后,计算稳定性的要求不变。

THE NUMEIRCAL CALCULATION OF DYNAMIC STRESS OF HUNGSNG CONDUCTIVE LINE IN SHORT CIRCUIT CONDITION

This paper used the method of distributive parameter's dynamic in1]、2] to calculate the phase-to-phase stress of conductive line in short circuit condition(i. e. dynamic stability). This method strictly according to the facts that conductive line as a thin beam, it's quality elasticity, resistance all was distribution. Therefore, it could depite the dynamic feature of conductive line more precisely In3] one considered many step、elastic constrain、inner-resistance (inner friction of Aluminium material)、extra-resistance (atmospheric resistance) e. t.al. This paper considers a horizontal stress based on3], may calculate stress of dynamic state and inverse stress of dynamic state of fulcrum.The mathematical problem, which was depicting above physical problem, was a partial differential equation of parabolic type in five orders. This paper get a numerical solution that could use difference method. Numerical results shows:when the conductive line in short circuit condition was increasing a little horizontal stress, (constract with other quatity), the numerical results only has a little shift.This paper also analyze the computational stability condition of explicit difference schme. It's results shows:when increasing a horizontal stress, the computational stability condition as same as before.