摘要
电气几何理论(EGM)理论认为雷电先导进入接闪杆周边划分的不同空域是接闪杆拦截雷电先导成功与否的决定因素,并且被保护物的侧击空域是反映被保护物发生侧击概率的重要因子.利用高等数学中极坐标积分的方法并利用数学软件Matlab推导出侧击空域体积模型公式,并对模型公式进行分析得出结论:①侧击空域体积与被保护物高度、接闪杆与被保护物距离成正比,与接闪杆高度成反比;②随接闪杆与其保护范围内物体两者之间距离增大,侧击空域先从0增大到最大值后减小至0.
Based on the eleetrogeometric model （EGM） theory, the access of a lightning leader into the air- space around a lightning rod determines whether the lightning rod will successfully intercept the lightning stroke, and the side stroke airspace of the protected object is an important factor affecting shielding failure rate. In the present study, the volume model formula of side stroke airspace is deduced according to double integrals in polar coordinates and the mathematical software MATLAB. Through a discussion of the for- mula, the following conclusions are drawn： （1） The volume of side stroke airspace is in direct proportion to the height of the protected object and the distance between the lightning rod and the protected object, and in inverse proportion to the height of the lightning rod. （2） With the increase in the distance between the lightning rod and the protected object, the volume of side stroke airspace increases to a maximum which can be calculated from 0 firstly and decreases to 0 afterward.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第11期184-188,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(41175003)
