论文:2015,Vol:33,Issue(1):57-62
引用本文:
袁燎原, 章卫国, 刘洋, 刘小雄. 混合余度传感器系统的可靠性建模与分析[J]. 西北工业大学学报
Yuan Liaoyuan, Zhang Weiguo, Liu Yang, Liu Xiaoxiong. Reliability Modeling and Analysis of Hybrid Redundancy Sensor[J]. Northwestern polytechnical university

混合余度传感器系统的可靠性建模与分析
袁燎原, 章卫国, 刘洋, 刘小雄
西北工业大学自动化学院, 陕西西安 710072
摘要:
针对混合余度传感器系统,分别对故障过程和诊断过程进行建模,集成建立系统的半马尔可夫过程可靠性模型。通过代数模型与补充变量法的结合,提出了一种定量分析方法,采用代数模型法将系统模型简化为故障模式的逻辑和,应用补充变量法求解约简后的半马尔可夫过程,推导了基于分布函数的时序故障概率计算公式,用于各故障模式的定量概率求解。通过算例分析,并与典型方法进行比较,体现了模型的通用性以及定量分析方法的准确与简便。
关键词:    混合余度系统    可靠性建模与分析    半马尔可夫过程    代数模型    补充变量法   
Reliability Modeling and Analysis of Hybrid Redundancy Sensor
Yuan Liaoyuan, Zhang Weiguo, Liu Yang, Liu Xiaoxiong
Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
We establish the reliability models of component failure and fault diagnosis processes of a hybrid redundancy sensor and integrate the reliability model with the semi-Markov processes. We propose the quantitative analysis method to combine the algebraic model with the supplementary variables. Then we use the algebraic model to reduce the reliability model to the logical sum of failure modes and the supplementary variable method to solve the reduced semi-Markov processes. Finally we use the distribution functions to deduce the time-sequential failure probability calculation formulas, which are used to seek the probability solutions of various failure modes. The numerical analysis and the comparison with other typical methods show the generality of the reliability model and the accuracy and convenience of the quantitative analysis method.
Key words:    calculations    distribution functions    failure analysis    failure modes    fault tolerance    Monte Carlo methods    mathematical models    Markov processes    probability    redundancy    reliability analysis    sensors    time delay    algebraic model    reliability model    supplementary variable method   
收稿日期: 2014-09-16     修回日期:
DOI:
基金项目: 国家自然科学基金(61374032)及陕西省自然科学基金(2013JQ8026)资助
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作者简介: 袁燎原(1988-),西北工业大学博士生,主要从事飞行控制系统传感器的信息融合与容错方法设计的研究。
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