线性熵的系统故障熵模型及其时变研究

为研究系统故障在不同因素叠加时体现的总体规律、故障变化程度和故障信息量，提出系统故障熵的概念。基于线性熵的线性均匀度特性，推导了多因素相被划分为两状态时的线性熵模型。认为线性熵可以表征系统故障熵，进而研究了系统故障熵的时变特征。对连续时间间隔内的不同因素状态叠加下系统故障进行统计，得到系统故障概率分布，绘制系统故障熵时变曲线。从结果来看至少可以完成3项任务:从变化规律得到考虑不同因素影响下的系统故障熵变化情况，系统故障熵的总体变化规律，系统可靠性的稳定性。此研究可应用于类似情况下的各领域故障及数据分析。

System fault entropy model and its time-varying based on linear entropy

The concept of system fault entropy is proposed to study the general rule, fault variation degree, and the fault information of the system fault under different superposed factors. A linear entropy model with a multifactor phase divided into two states is derived based on the linear uniformity of the linear entropy. The linear entropy can represent the system fault entropy; thus, the time-varying characteristics of the system fault entropy can be studied. The system fault probability distribution is obtained by counting the faults under the superposition of different factor states in continuous time intervals. Then, the time-varying curve of the system fault entropy is drawn. The results show that at least three tasks can be completed: 1) Obtaining the change of the system fault entropy under different factors from the change law. 2) Obtaining the general change rule of the system fault entropy. 3) Studying the stability of the system reliability. The research results can be applied to fault and data analyses in various fields in similar cases.