直击雷防护相关问题探讨

运用数学推导的方法,对多支不等高避雷针保护范围的计算方法进行了探讨,提出了用数学方法解决这一问题的思路,为编写计算机程序解决这一难题提供了理论依据。这一问题的解决关键是建立一个数学模型,求解出由3支不等高避雷针的针尖所托起的虚拟的滚球的空间位置。因为针尖的空间位置是已知的,所以可以由几何学的相关知识建立一个三元二次方程组,通过解这个方程组的方法来求解避雷针的保护范围。另外,还对用滚球法的理论来计算避雷带的安装高度作了简要分析。

Some Issues in Protection of Direct Lightning Strikes

Exploration is made of the solution for computing the protection coverage of multiple unequal-height discharging rods by means of a mathematical method,and the mathematical solution to the problem is presented,which set the theoretical basis for computer programming for solving the problem.The establishment of the mathematic model for computing the position of the virtual ball supported by three unequal-height discharging rods is the key to the problem.Because the position of the rod tips is known,the quadratic equations with three variables are established according to the related geomorphic principles to obtain the protection coverage of discharging rods.A brief analysis is also made of the computation of the mounting height of the lightning protection belt according to the principles of the rolling-ball method.