摘要
电介质中的电枝击穿过程是当前国际上研究的重要课题。本文试以一维链段上的随机步动为基础,计算在直链高分子电介质中的电枝生长时间与电枝长度关系,交链高分子电介质中的电枝生长时间与电枝长度关系。计算结果与对应介质中的实测结果进行了比较,结果符合得相当好.说明本文提出的电枝击穿过程的思考在不太强的发散电扬中是可取的.这对如何减少电枝击穿危害是有益的.
At present,the electrical tree breaking process in the insulatic mate- rial is one of important subject of researches in the world.In this paper, the author tries to calculate the relation between the generating time and the generating length of an electrical tree in the linear segment polymer and in the cross segment polymer by means of analytic method of ran- dom and restricted walks. While comparing with experimental data,the author found that the analytic results agreed completely with these data.This illustrates that the author's proposal for interpretation of an electric tree breaking process is right when the divergent electric field is not intensive.This is helpful to how to reduce the impairment of electric tree break.
关键词
电介质
电枝击穿
随机步动
高分子
electric tree break
random walks
mean firstpassage time
renormalized vertex
propagated function
without touching function
routed probability
generating function.
