The assessment of the destruction probability for equipment or pipeline elements of nuclear power plants is typically carried out on the basis of postulated defectiveness, expressed as a dependence of the probability of a residual defect following inspection and repair and determined by the data of non-destructive testing of similar objects. Therefore, using new inspection results, the probability of destruction must be refined so as to take account of both the history of observations of uniform inspected objects and new information about the studied object. The paper represents a method for refining the destruction probability of a structural element by updating its postulated defectiveness, as developed using a procedure based on Bayes’ formula. The likelihood function is defined to vary the contribution of both initial and new inspection data.
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References
NP-084-15, Rules for Inspection of Base Metal, Welded Joints, and Surfacing during the Operation of Equipment, Pipelines, and Other Elements of Nuclear Power Plants, Rostekhnadzor, Moscow (2015).
N. A. Makhutov and D. O. Reznikov, “Estimating the probability of fatigue failure using Bayes’ procedures,” Deform. Razrush. Mater. Mekh. Deform. Razrush., No. 12, 2–10 (2021).
M. Hamada, A. Wilson, C. Reese, and H. Martz, Bayesian Reliability, Springer Ser. in Statistics, NY (2008).
V. N. Volchenko, Probability and Certainty of Estimating the Quality of Metal Products, Metallurgiya, Moscow (1979).
A. F. Getman, Theories and Technology of Ensuring the Strength of Technical Objects, Nestor-Istoriya, Moscow (2019).
D. A. Kuzmin, A. Yu. Kuz’michevskii, and M. V. Vertashenok, “Residual defectiveness and probability of defects with a size exceeding the permissible value,” Stroit. Mekh. Inzh. Konstr. Sooruzh., 16, No. 5, 414–423 (2020).
D. A. Kuzmin and M. V. Vertashenok, “The probability of defects leading to the destruction of a pressure vessel without a leak,” Stroit. Mekh. Inzh. Konstr. Sooruzh., 17, No. 2, 199–213 (2021).
GOST R 58328-2018, Pipelines of Nuclear Power Plants. The Concept of the “Leak before Destruction,” Standartinform, Moscow (2018).
Yu. G. Matvienko, D. A. Kuzmin, D. O. Reznikov, and V. V. Potapov, “Estimating the probability of the fatigue failure of structural elements taking into account the statistical spread of the material strength mechanical characteristics and residual defectiveness,” Probl. Mashinostr. Nadezhn. Mashin, No. 4, 26–36 (2021).
PNAE G-10-032-92, Rules for Inspection of Welded Joints in the Elements of NPP Localizing Safety Systems, NTTs YaRB, Moscow (2000).
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Translated from Atomnaya Énergiya, Vol. 133, No. 2, pp. 81–87, August, 2022.
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Kuzmin, D.A., Vertashenok, M.V. Refining the Postulated Defectiveness of NPP Equipment and Pipelines Using Bayesian Procedures. At Energy 133, 84–91 (2022). https://doi.org/10.1007/s10512-023-00977-6
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DOI: https://doi.org/10.1007/s10512-023-00977-6