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Optimal Bayesian MCMC based fire brigade non-suppression probability model considering uncertainty of parameters

  • Kim, Sunghyun (Department of Disaster Prevention Engineering, Chungbuk National University) ;
  • Lee, Sungsu (School of Civil Engineering, Chungbuk National University)
  • Received : 2022.01.02
  • Accepted : 2022.03.12
  • Published : 2022.08.25

Abstract

The fire brigade non-suppression probability model is a major factor that should be considered in evaluating fire-induced risk through fire probabilistic risk assessment (PRA), and also uncertainty is a critical consideration in support of risk-informed performance-based (RIPB) fire protection decision-making. This study developed an optimal integrated probabilistic fire brigade non-suppression model considering uncertainty of parameters based on the Bayesian Markov Chain Monte Carlo (MCMC) approach on electrical fire which is one of the most risk significant contributors. The result shows that the log-normal probability model with a location parameter (µ) of 2.063 and a scale parameter (σ) of 1.879 is best fitting to the actual fire experience data. It gives optimal model adequacy performance with Bayesian information criterion (BIC) of -1601.766, residual sum of squares (RSS) of 2.51E-04, and mean squared error (MSE) of 2.08E-06. This optimal log-normal model shows the better performance of the model adequacy than the exponential probability model suggested in the current fire PRA methodology, with a decrease of 17.3% in BIC, 85.3% in RSS, and 85.3% in MSE. The outcomes of this study are expected to contribute to the improvement and securement of fire PRA realism in the support of decision-making for RIPB fire protection programs.

Keywords

Acknowledgement

This research was supported by a grant(2020-MOIS35-002) from the Development of Preparedness and Mitigation Technologies Linked to the Countermeasures on Natural Disasters funded by the Ministry of Interior and Safety (MOIS, Korea).

References

  1. Nuclear Regulatory Commission (NRC), Risk Methods Insights Gained from Fire Incidents, NUREG/CR-6738, Washington, D.C, 2001.
  2. International Atomic Energy Agency (IAEA), Experience Gained from Fires in Nuclear Power Plants: Lessons Learned, IAEA, Vienna, 2004. IAEA-TECDOC-1421.
  3. Nuclear Regulatory Commission (NRC), A Short History of Fire Safety Research Sponsored by the US, NUREG/BR-0364, Nuclear Regulatory Commission, Washington, DC, 2009a, pp. 1975-2008.
  4. Organization for Economic Cooperation and Development/Nuclear Energy Agency, Report on Fukushima Daiichi NPP Precursor Events, 1, NEA/CNRA/R.(OECD/NEA), 2014a.
  5. K. Hukki, J.E. Holmberg, Development of Management of Nuclear Power Plant Fire Situations, Probabilistic Safety Assessment and Management, 2004, pp. 376-382, https://doi.org/10.1007/978-0-85729-410-4_61.
  6. M. Schneider, An Account of Events in Nuclear Power Plants since the Chernobyl Accident in 1986, Greens in the European Parliament, 2007.
  7. Organization for Economic Cooperation and Development (OECD), CNRA Summary Report on Operating Experience Feedback Related to Fire Events and Fire Protection Programmes (Safety Analysis of Fire Operating Events), 3, NEA/CNRA/R, 2009.
  8. H.S. Han, J.O. Lee, C.H. Hwang, J.S. Kim, S.K. Lee, Assessment of the habitability for a cabinet fire in the main control room of nuclear power plant using sensitivity analysis, Fire Sci. Eng. 31 (2) (2017) 52-60, https://doi.org/10.7731/KIFSE.2017.31.2.052.
  9. Organization for Economic Cooperation and Development/Nuclear Energy Agency, CSNI Technical Opinion Paper # 17- Fire Probabilistic Safety Assessments for Nuclear Power Plants, OECD/NEA, 2019. Update: 2019.
  10. National Fire Protection Association (NFPA), Performance-Based Standard for Fire Protection for Light Water Reactor Electric Generating Plants, 805, NFPA, Quincy, Mass, 2006.
  11. Nuclear Regulatory Commission (NRC), EPRI/NRC-RES Fire PRA Methodology for Nuclear Power Facilities, 2, NUREG/CR-6850, Washington, D.C, 2005. Detailed Methodology.
  12. Nuclear Regulatory Commission (NRC), Fire Probabilistic Risk Assessment Methods Enhancements. Supplement, NUREG/CR-6850 and EPRI 1011989, NUREG/CR-6850 Supplement 1, Washington, DC, 2010, p. 1.
  13. S.H. Kim, S. Lee, Probabilistic non-suppression model of electrical fire in nuclear power plant using maximum likelihood estimation method, J. Korean Soc. Hazard Mitig. 20 (5) (2020) 123-134, https://doi.org/10.9798/KOSHAM.2020.20.5.123.
  14. Electric Power Research Institute (EPRI), Fire PRA Implementation Guide, EPRI/TR-105928, Palo Alto, 1995.
  15. Nuclear Regulatory Commission (NRC), Nuclear Power Plant Fire Ignition Frequency and Non-suppression Probability Estimation Using the Updated Fire Events Database, NUREG-2169, Washington, D.C, 2015.
  16. S.H. Kim, S. Lee, Maximum likelihood estimation of probabilistic nonsuppression model for OECD NPP electrical fire applying non-negative continuous distribution, Fire Saf. J. 122 (2021) 1-7, https://doi.org/10.1016/j.firesaf.2021.103323.
  17. J. Neville, U. Farradj, K. Zee, A. Lindeman, Insights gained from a review of fire PRA risk contribution by ignition frequency bins, in: Asian Symposium on Risk Assessment and Management, Paper, Ida., 2017. ASRAM2017-1102.
  18. Nuclear Regulatory Commission (NRC), Fire Protection for Nuclear Power Plant. Regulatory Guide 1.189, 2009. Washington, DC.
  19. Nuclear Regulatory Commission (NRC), Perspectives Gained from the Individual Plant Examination of External Events (IPEEE) Program - Final Report, NUREG, Washington, DC, 2002.
  20. Nuclear Energy Institute (NEI), Road Map for Attaining Realism on Fire PRAs, 2010. Washington, D.C.
  21. Organization for Economic Cooperation and Development/Nuclear Energy Agency, OECD/NEA), Use of OECD/Nea Data Project Products in Probabilistic Safety Assessment, Nea/CSNI/R(2014), 2014b.
  22. Korea Nuclear International Cooperation Foundation (KNICF), OECD/NEA Research Cooperation Survey Analysis, 2019.
  23. H. Shalabi, G. Hadjisophocleous, CANDU fire database. Review, CNL Nucl. Rev. 8 (2) (2019) 179-189, https://doi.org/10.12943/CNR.2017.00019.
  24. The Society of Fire Protection Engineers (SFPE), SFPE Handbook of Fire Protection Engineering, fifth ed., Springer, 2016.
  25. Nuclear Regulatory Commission (NRC), Guidance on the Treatment of Uncertainties Associated with PRAs in Risk-Informed Decision-Making, NUREG, Washington, DC, 2017.
  26. Electric Power Research Institute (EPRI), A Practical Approach for Addressing Uncertainty in Fire Probabilistic Risk Assessment Modeling, EPRI/TR-3002018268, Palo Alto, 2020.
  27. W.R. Gilks, S. Richardson, D.J. Spiegelhalter, Markov Chain Monte Carlo in Practice, Chapman & Hall, 1996.
  28. A. Gelman, J.B. Carlin, H.S. Stern, D.B. Dunson, A. Vehtari, D.B. Rubin, Bayesian Data Analysis, third ed., Chapman & Hall, 2013.
  29. G. Koop, Bayesian Econometrics, Wiley, 2003.
  30. D.S. Reis, J.R. Stedinger, Bayesian MCMC flood frequency analysis with historical information, J. Hydrol. 313 (1-2) (2005) 97-116, https://doi.org/10.1016/j.jhydrol.2005.02.028.
  31. Nuclear Regulatory Commission (NRC), Handbook of Parameter Estimation for Probabilistic Risk Assessment, NUREG/CR-6823, Washington, D.C, 2003.
  32. Y.M. Seo, K.B. Park, Uncertainty analysis for parameters of probability distribution in rainfall frequency analysis by bayesian MCMC and Metropolis Hastings algorithm, J. Environ. Sci. 20 (3) (2011) 329-340, https://doi.org/10.5322/JES.2011.20.3.329.
  33. C.P. Robert, G. Casella, Monte Carlo Statistical Methods, Springer Verlag, 1999.
  34. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, E. Teller, Equations of state calculations by fast computing machines, J. Chem. Phys. 21 (6) (1953) 1087-1092. https://doi.org/10.1063/1.1699114
  35. W.K. Hastings, Monte Carlo sampling methods using Markov chains and their applications, Biometrika 57 (1) (1970) 97-109. https://doi.org/10.1093/biomet/57.1.97
  36. Organization for Economic Cooperation and Development/Nuclear Energy Agency, Collection and Analysis of Fire Events (2010-2013)-Extensions in the Database and Applications, 14, NEA/CSNI/R. (OECD/NEA), 2015.
  37. B.B. Anjullo, T.T. Haile, A bayesian binary logistic regression approach in identifying factors associated with exclusive breastfeeding practices at arba minch town, south Ethiopia, Adv. Res. 17 (5) (2018) 1-14, https://doi.org/10.9734/AIR/2018/46020.
  38. I. Ntzoufras, Bayesian Modeling Using WinBUGS, John Wiley & Sons, 2009, https://doi.org/10.1002/9780470434567.
  39. M.S. Oh, Bayesian Data Analysis Using JAGS, Free academy, Paju, 2019.
  40. A. Gelman, D.B. Rubin, Inference from iterative simulation using multiple sequences, Stat. Sci. 7 (4) (1992) 457-472, https://doi.org/10.1214/ss/1177011136.
  41. S.P. Brooks, A. Gelman, General methods for monitoring convergence of iterative simulations, J. Comput. Graph Stat. 7 (4) (1998) 434-455, https://doi.org/10.1080/10618600.1998.10474787.
  42. M.K. Cowles, B.P. Carlin, Markov chain Monte Carlo convergence diagnostics: a comparative review, J. Am. Stat. Assoc. 91 (434) (1996) 883-904, https://doi.org/10.1080/01621459.1996.10476956.
  43. Y. He, A Probabilistic Model of Benefit-Cost Analysis for Highway Construction Projects, Purdue University Master Of Science Dissertation, West, Lafayette, Ind, 2015.
  44. Nuclear Regulatory Commission (NRC), Refining and Characterizing Heat Release Rates from Electrical Enclosures during Fire (RACHELLE-FIRE): 1, Peak Heat Release Rates and Effect of Obstructed Plume, NUREG-2178, Washington, DC, 2016.