• NUCLEAR TECHNIQUES
  • Vol. 45, Issue 12, 120604 (2022)
Shaoxuan WANG1、2, Zhixian LIN1、2, Daochuan GE1、*, Jie WU1, and Jie YU1
Author Affiliations
  • 1Institute of Nuclear Energy Safety Technology, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, China
  • 2University of Science and Technology of China, Hefei 230026, China
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    DOI: 10.11889/j.0253-3219.2022.hjs.45.120604 Cite this Article
    Shaoxuan WANG, Zhixian LIN, Daochuan GE, Jie WU, Jie YU. Reliability numerical simulation for startup time and startup failure of cold redundancy system in nuclear power plant[J]. NUCLEAR TECHNIQUES, 2022, 45(12): 120604 Copy Citation Text show less
    Dynamic logic gates (a) Cold spare gate, (b) Sequence-enforcing gate, (c) Functional-dependence gate
    Fig. 1. Dynamic logic gates (a) Cold spare gate, (b) Sequence-enforcing gate, (c) Functional-dependence gate
    Sequence failure logic diagram for case:
    Fig. 2. Sequence failure logic diagram for case:
    Flow chart of Monte Carlo numerical simulation of DFTs based on minimum cut sequence sets
    Fig. 3. Flow chart of Monte Carlo numerical simulation of DFTs based on minimum cut sequence sets
    Sequence failure logic diagram for case:A1→AA10A2→⋯→A̲Ai-10A̲i,a→⋯→AAn-10An
    Fig. 4. Sequence failure logic diagram for case: A1AA10A2A̲Ai-10A̲i,aAAn-10An
    Sequence failure logic diagram for case:A1→AA10A2→⋯→A̲Ai-10A̲i,w→⋯→AAn-10An
    Fig. 5. Sequence failure logic diagram for case: A1AA10A2A̲Ai-10A̲i,wAAn-10An
    Modeling method of equipment startup time and startup failure in DFT based on Monte Carlo numerical simulation
    Fig. 6. Modeling method of equipment startup time and startup failure in DFT based on Monte Carlo numerical simulation
    System diagram of simplified power supply for nuclear power plant
    Fig. 7. System diagram of simplified power supply for nuclear power plant
    DFT model of EDGs[13]
    Fig. 8. DFT model of EDGs[13]
    Comparison of EDGs failure probability (a) Failure probability comparison, (b) Effect of equipment startup time on EDGs failure probability
    Fig. 9. Comparison of EDGs failure probability (a) Failure probability comparison, (b) Effect of equipment startup time on EDGs failure probability
    The sensitivity change curve of equipment parameters
    Fig. 10. The sensitivity change curve of equipment parameters
    Frequency histogram of EDGs failure probability
    Fig. 11. Frequency histogram of EDGs failure probability
    Effect of startup characteristics on EDGs failure probability (a) Probability under different start time, (b) ln(θ) under different start time
    Fig. 12. Effect of startup characteristics on EDGs failure probability (a) Probability under different start time, (b) ln( θ) under different start time

    设备名称

    Equipment name

    失效率

    Failure rate / h

    启动失效概率

    Probability of startup failure

    启动时间

    Startup time / h

    A10.019 9
    A20.019 9
    B10.019 90.023 60.2
    B20.019 90.023 60.2
    SDG0.019 90.023 60.5
    LHA4.73×10-7
    LHB4.73×10-7
    Table 1. Failure information of EDGs

    参数名称

    Parameters name

    PB1PB2PSDGλLHAλA1λA2λLHBλB1λB2λSDG
    2 hSX19.0818.1342.381.0387.3288.021.024.985.191.80
    Rank45392110768
    24 hSX2.092.173.381.0037.8938.450.9918.5418.7215.44
    Rank87692110435
    Table 2. Sensitivity index of EDGs equipment parameters
    设备名称Equipment name启动时间均值Average startup time Δt / h标准差Standard deviation
    B10.20.066 7
    B20.20.066 7
    SDG0.50.166 7
    Table 3. Distribution parameters of startup-time

    发生概率

    Probability of

    occurrence

    均值

    Mean

    均值置信区间(95%)

    Mean confidence

    interval (95%)

    标准差

    Standard deviation

    标准差置信区间(95%)

    Standard deviation confidence

    interval (95%)

    EDGs6.459×10-4(6.445~6.474)×10-42.325×10-5(2.227~2.432)×10-5
    Table 4. Results of parameters evaluations
    设备名称Equipment name启动常数Startup constants
    B10.004 72
    B20.004 72
    SDG0.011 8
    Table 5. Startup constants of equipment
    Shaoxuan WANG, Zhixian LIN, Daochuan GE, Jie WU, Jie YU. Reliability numerical simulation for startup time and startup failure of cold redundancy system in nuclear power plant[J]. NUCLEAR TECHNIQUES, 2022, 45(12): 120604
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