| 电站两辅助设备冷贮备系统的可靠性分析 |
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| 引用本文： | 张欣.电站两辅助设备冷贮备系统的可靠性分析[J].系统工程理论与实践,2013,33(10):2615-2622. |
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| 作者姓名： | 张欣 |
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| 作者单位： | 1. 燕京理工学院, 三河 065201;2. 中国科学院 数学与系统科学研究院, 北京 100190 |
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| 基金项目： | 国家自然科学基金(11201007) |
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| 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C0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.
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| 关 键 词： | 可修系统 预解正算子 共尾 指数稳定性 |
| 收稿时间： | 2012-11-11 |
Reliability analysis of the operator of two-different-units parallel repairable system |
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| ZHANG Xin.Reliability analysis of the operator of two-different-units parallel repairable system[J].Systems Engineering —Theory & Practice,2013,33(10):2615-2622. |
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| Authors: | ZHANG Xin |
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| Institution: | 1. Yanching Institute of Technology, Sanhe 065201, China;2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China |
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| Abstract: | 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 C0 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. |
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| Keywords: | repairable system resolvent positive operator cofinal exponential stability |
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