电站两辅助设备冷贮备系统主算子的性质

Property of the Primary Operator of Two Supplemental Equipments Cold Standby System of Power Station

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.通过选取空间及定义算子,将模型方程转化成了Banach空间中的抽象Cauchy问题.通过分析系统主算子的谱分布,求出主算子的谱上界.利用预解正算子及共尾理论,证明了主算子的谱上界和增长界相等.

The paper presents a cold standby system of power station consisting of two supplemental equipments,a single repairman and a swith.By choosing state space and defining operators of system,we transfer model into an abstract Cauchy problem.By analyzing the spectra distribution of the primary operator,the spectrum bound of the primary operator is obtained.And the spectrum bound is equal to the growth bound of the primary operator.