Affiliations: [a]
College of Physics and Electronics Science, Shanxi Datong University, Datong, Shanxi, China
| [b]
College of Mathematics and Statistics Science, Shanxi Datong University, Datong, Shanxi, China
Correspondence:
[*]
Corresponding author. Baoliang Liu, College of Mathematics and Statistics Science, Shanxi Datong University, Datong, Shanxi 037009, China. E-mail: baoliang521@163.com.
Abstract: A system undergoes a failure process in which the internal degradation and external loads are independent and compete with each other. In the reliability model of competitive failure, the threshold of failure is often a dynamic process that changes with time. Based on this, this paper constructs a model in which the failure threshold is an uncertain Liu process and applies it to the competitive failure reliability process, where soft and hard failure thresholds are modeled by different Liu processes. In the absence of a large amount of failure data, uncertainty theory is used as a tool to analyze the belief reliability and mean time to failure of the system. Taking gas-insulated substation (GIS) as an example, the effect of parameters on belief reliability is analyzed, and the reliability under Liu process threshold and constants threshold is compared, which shows the validity of the prosed model.
Keywords: Belief reliability, uncertain failure threshold, uncertain liu process, uncertainty theory
