摘要
为充分考虑多因素影响下的系统可靠性及其相关性质,将基本事件的发生概率用其n个影响因素作为变量构成的函数Pdi(x)表示,将系统顶事件的发生概率PT从只能计算定值扩展到由其n个影响因素和PT组成的n+1维空间上研究。构建的空间曲面能将实际的故障树系统结构问题转化为数学系统问题。定义了多维空间故障树的相关概念,并根据上述思想研究电气元件系统的故障概率空间,详述在使用时间t和使用温度c等2个因素影响下,相关各概率空间的构造过程。结果表明,针对该空间曲面进行积分,能够得到概率重要度及关键重要度的分布;将该曲面分别对c和t求导,能够得到系统故障概率的变化趋势。
In order to analyze the reliability of a system affected by multiple-factors and its related prop- erties, the probabilities of the basic events were expressed by P~ （x） , which is the function of n influence factors of the basic events. In this way, the research of the system top event probability Pr was extended from a constant value to n ＋ 1 dimensional space considering n influence factors and Pr. The system struc- ture problem of the fault tree was transformed into the a problem of mathematical space. Multi-dimensional space fault accident tree related concepts were defined. Failure probability space of an electrical system was researched. The related spaces construction process was explained with considering the two main fac- tors affecting the system, working temperature and working time. The results show that the probability importance and the key importance can be obtained by integrating the space surface, and that the change trends of the failure probability can be indicated by deriving the surface with respect to the time and the temperature.
出处
《中国安全科学学报》
CAS
CSCD
北大核心
2013年第4期32-37,62,共7页
China Safety Science Journal
关键词
故障树
多维空间
故障概率分布
数学分析
系统分析
fault tree
multimathematical anal-dimensional space
distribution of fault probability
ysis
system analysis
