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基于测试性D矩阵的多故障诊断与维修策略

田恒 段富海 樊亮 桑勇 史萌

田恒, 段富海, 樊亮, 等 . 基于测试性D矩阵的多故障诊断与维修策略[J]. 北京航空航天大学学报, 2018, 44(4): 802-809. doi: 10.13700/j.bh.1001-5965.2017.0225
引用本文: 田恒, 段富海, 樊亮, 等 . 基于测试性D矩阵的多故障诊断与维修策略[J]. 北京航空航天大学学报, 2018, 44(4): 802-809. doi: 10.13700/j.bh.1001-5965.2017.0225
TIAN Heng, DUAN Fuhai, FAN Liang, et al. Multiple fault diagnosis and maintenance strategy based on testability D matrix[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(4): 802-809. doi: 10.13700/j.bh.1001-5965.2017.0225(in Chinese)
Citation: TIAN Heng, DUAN Fuhai, FAN Liang, et al. Multiple fault diagnosis and maintenance strategy based on testability D matrix[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(4): 802-809. doi: 10.13700/j.bh.1001-5965.2017.0225(in Chinese)

基于测试性D矩阵的多故障诊断与维修策略

doi: 10.13700/j.bh.1001-5965.2017.0225
基金项目: 

航空科学基金 20150863003

详细信息
    作者简介:

    田恒  男, 博士研究生。主要研究方向:故障诊断与测试性分析

    段富海  男, 教授, 博士生导师。主要研究方向:可靠性与测试性的设计分析

    通讯作者:

    段富海, E-mail: duanfh@dlut.edu.cn

  • 中图分类号: TP206.3

Multiple fault diagnosis and maintenance strategy based on testability D matrix

Funds: 

Aeronautical Science Foundation of China 20150863003

More Information
  • 摘要:

    针对复杂的多故障诊断问题以及多故障直接处理方法实现的难点,在测试性D矩阵基础上,提出了一种基于单故障化的多故障诊断与维修策略(MFDMSTS)。首先,在多故障假设下引入析取运算,定义了可隔离单故障和可隔离多故障,据此定义将多故障转化为单故障,并将转化的单故障与测试集组成新的D矩阵;然后,运用单故障诊断算法处理新的D矩阵,得到最优诊断树;最后,针对诊断树的不同叶子节点,提出了多故障诊断与维修策略。实例验算表明:MFDMSTS能降低平均诊断费用和平均诊断步数,并大幅降低误修率。

     

  • 图 1  基于MFDMSTS和AO*的新D矩阵诊断树

    Figure 1.  Diagnostic tree of new D matrix based on MFDMSTS and AO*

    图 2  叶子节点s9的维修诊断树

    Figure 2.  Maintenance diagnostic tree of leaf node s9

    图 3  叶子节点s10的维修诊断树

    Figure 3.  Maintenance diagnostic tree of leaf node s10

    表  1  某电路系统的D矩阵[10]

    Table  1.   D matrix of a circuit system[10]

    故障状态 测试 概率
    t1 t2 t3 t4 t5
    f1 0 1 0 0 1 0.014
    f2 0 0 1 1 0 0.027
    f3 1 0 0 1 1 0.125
    f4 1 1 0 0 0 0.068
    f5 1 1 1 1 0 0.146
    下载: 导出CSV

    表  2  多故障单故障化的结果

    Table  2.   Results of translating multiple faults into single fault

    IFS 组合数 FIT 故障状态 概率p(FSi) 归一化概率p(si)
    f0 1 {{t2, t4}, {t1, t2, t3}, …, {t1, t2, t3, t4, t5}} s0 0.671 3
    f1 1 {{t4, t1}, {t3, t1}} s1 0.014 000 0.009 5
    f2 1 {{t2, t5}, {t2, t1}, {t1, t5}} s2 0.027 000 0.018 6
    f3 1 {{t2, t3}} s3 0.125 000 0.095 9
    f4 1 {{t3, t5}, {t4, t5}} s4 0.068 000 0.049 0
    f1f2 1 {{t1}} s5 0.000 378 0.000 3
    f2f3 1 {{t2}} s6 0.003 400 0.002 3
    f1f4 1 {{t3, t4}, {t4}} s7 0.000 950 0.000 6
    f1f3f4 3 {{t3}} s8 0.010 400 0.007 0
    f2f4f5 5 {{t5}} s9 0.162 000 0.129 8
    f1f2f3f4f5 16 s10 0.022 800 0.015 7
    总和 32 1.000 0
    下载: 导出CSV

    表  3  MFDMSTS得到的新D矩阵

    Table  3.   New D matrix obtained by MFDMSTS

    故障
    状态
    测试 概率
    t1 t2 t3 t4 t5
    s0 0 0 0 0 0 0.671 3
    s1 0 1 0 0 1 0.009 5
    s2 0 0 1 1 0 0.018 6
    s3 1 0 0 1 1 0.095 9
    s4 1 1 0 0 0 0.049 0
    s5 0 1 1 1 1 0.000 3
    s6 1 0 1 1 1 0.002 3
    s7 1 1 0 0 1 0.000 6
    s8 1 1 0 1 1 0.007 0
    s9 1 1 1 1 0 0.129 8
    s10 1 1 1 1 1 0.015 7
    下载: 导出CSV

    表  4  MFDMSTS、Sure3*和Sure3的诊断结果对比

    Table  4.   Comparison of diagnosis results among MFDMSTS, Sure3* and Sure3

    算法 Cost ND FDR/% FIR/%
    MFDMSTS 2.390 3.727 100 84.75
    Sure3* 2.515 3.727 100 84.75
    Sure3 2.528 4.154 100 85.46
    下载: 导出CSV

    表  5  MFDMSTS与Sure3的维修策略对比

    Table  5.   Comparison of maintenance strategy between MFDMSTS and Sure3

    多故障
    状态
    组合数 si中的
    组合故障
    MFDMSTS Sure3
    维修策略 误修率/% 维修策略 误修率/%
    s1, s2, s3, s4,
    s5, s6, s7
    1 f1, f2, f3, f4, f1f4, f2f3 直接维修检测的故障集 0 直接维修检的故障集 0
    s8 3 f3f4, f1f3, f1f3f4 维修f3f4,测试,维修f1,结束 0.12 维修f3,测试,维修f1,测试,维修f4 0
    s9 5 f5, f4f5, f2 f5, f2f4, f2f4f5 图 2 0.15 维修f2f4f5 12.95
    s10 16 f3f5, f1f5, f3 f4 f5, ,
    f1f2f3f4f5
    图 3 0.26 维修f1f2f3f4f5 1.57
    下载: 导出CSV

    表  6  某型惯导二次电源的D矩阵

    Table  6.   D matrix for secondary electrical power of an inertial navigation

    故障状态 测试 概率
    T1 T2 T3 T4 T5 T6
    F1 1 1 1 0 1 1 0.063
    F2 0 0 1 0 0 0 0.021
    F3 0 1 0 0 0 0 0.013
    F4 0 0 1 1 0 0 0.037
    F5 0 0 0 0 0 1 0.017
    F6 0 0 0 1 0 0 0.023
    F7 0 0 0 0 1 1 0.034
    F8 1 1 0 0 0 0 0.022
    F9 0 0 1 0 1 0 0.030
    下载: 导出CSV

    表  7  MFDMSTS与TEAMS仿真分析结果对比

    Table  7.   Comparison of analysis results between MFDMSTS and TEAMS simulation

    算法 Cost ND FDR/% FIR/% MR-avg/%
    MFDMSTS 4.22 5.45 100 82.69 0.012 8
    TEAMS 4.22 5.45 100 82.69
    下载: 导出CSV
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出版历程
  • 收稿日期:  2017-04-13
  • 录用日期:  2017-05-19
  • 刊出日期:  2018-04-20

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