An Efficient Approximate Evaluation Method For Reliability Of Large Cold Standby System

A cold standby system refers to a standby system in which one or more primary components are online and the remaining components are in standby.The system has the advantages of high reliability and low operating cost,and is widely used in key fields such as aerospace,nuclear power plants,and high-performance computing systems.Efficient analysis of the reliability of the system is very important to predict whether the reliability of the system meets the design requirements.The traditional analysis method is slightly insufficient in applicability,because each component in the cold standby system may obey the distribution of different parameters.And when the number of components in the system is large or multiple primary components are involved,the state of the system is complex and diverse,it increases the difficulty of reliability analysis.However,the efficiency of existing analytical methods is not satisfactory.This paper studies the efficient approximate calculation of the reliability of cold standby systems,and compares the proposed method with the existing methods.The main research contents are as follows:(1)For 1-out-of-n cold standby systems with different failure time distributions of components: an efficient approximation method based on Lyapunov’s central limit theorem is proposed;experimental analysis is carried out to study the accuracy and calculation of the efficient approximation method;the applicability of this method is analyzed when there is switching time and switching failure.(2)For k-out-of-n cold standby systems with different failure time distributions of primary components: an efficient approximation method based on the central limit theorem and state process is proposed;carry out case verification and data analysis,analyze the accuracy and computational efficiency of the efficient approximation method;the main factors affecting the accuracy of the method and the corresponding effect are analyzed;the applicability of this method is analyzed when there is switching failure.