电站两辅助设备冷贮备系统的可靠性分析  

Reliability analysis of the operator of two-different-units parallel repairable system

作　　者：张欣[1,2] 

机构地区：[1]燕京理工学院 [2]中国科学院数学与系统科学研究院

出　　处：《系统工程理论与实践》2013年第10期2615-2622,共8页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(11201007)

摘　　要：研究了由两个同型部件、一个转换开关和一个修理工组成的电站单元机组辅助设备的冷贮备系统.通过选取空间和定义算子,将模型方程转化成了抽象Cauchy问题.利用预解正算子和C_0半群理论,讨论了系统动态解的存在唯一性及其表达式.通过分析系统算子的谱分布,利用预解正算子和共尾理论得到系统的指数稳定性.在此基础上,用一个新的方法讨论了系统的稳态指标.The paper presents a cold standby system of power station consisting of two supplemental equipments, a single repairman and a switch. By choosing state space and defining operator of system, we transfer model into an abstract Cauchy problem. The unique existence and the expression of the system time-dependent solution are discussed by using Co semigroup theory and resolvent positive operator. By analyzing the spectra distribution of the system operator, the exponential stability is obtained by using the theory of cofinal and resolvent positive operator. An important reliability index is discussed with a new method.

关 键 词：可修系统 预解正算子 共尾 指数稳定性 

分 类 号：O226[理学—运筹学与控制论]