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

Abstract

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.