Simulation-Informed Probabilistic Methodology for Common Cause Failure Analysis

Abstract Common Cause Failures (CCFs) are critical risk contributors in complex technological systems as they challenge multiple redundant systems simultaneously. To improve the CCF analysis in Probabilistic Risk Assessment (PRA), this research develops the Simulation-Informed Probabilistic Methodology (S-IPM) for CCFs. This new methodology utilizes simulation models of physical failure mechanisms to capture underlying causalities and to generate simulation-based data for the CCF probability estimation. To operationalize the S-IPM in PRA, a computational algorithm is developed that generates simulation-based estimates of CCF parameters and, using the Bayesian approach, integrates them with the data-driven CCF parameters (if relevant data available) from the existing PRA. This computational algorithm is equipped with the Probabilistic Validation that quantifies the degree of confidence in the simulation-based parameter estimates by characterizing and propagating epistemic uncertainty in multiple levels of analysis. The S-IPM can (i) provide more realistic CCF probability estimates by considering CCF data generated from simulations; (ii) reflect as-built, as-operated plant conditions, considering the updates in design, operational, and maintenance policies; and (iii) contribute to more effective prevention and mitigation of CCFs by providing “cause-specific” quantitative risk insights. The paper shows a case study that applies S-IPM to the CCFs of emergency service water pumps of NPPs.

[1]  M. Stein Large sample properties of simulations using latin hypercube sampling , 1987 .

[2]  Ali Mosleh,et al.  The Assessment of Probability Distributions from Expert Opinions with an Application to Seismic Fragility Curves , 1986 .

[3]  C. Atwood The binomial failure rate common cause model , 1986 .

[4]  Zahra Mohaghegh,et al.  A probabilistic physics-of-failure approach to common cause failures in reliability assessment of structures and components , 2011 .

[5]  Curtis L. Smith,et al.  Bayesian Inference for Probabilistic Risk Assessment: A Practitioner's Guidebook , 2011 .

[6]  Athena Zitrou,et al.  Developing soft factors inputs to common cause failure models , 2004 .

[7]  Andrew Thomas,et al.  WinBUGS - A Bayesian modelling framework: Concepts, structure, and extensibility , 2000, Stat. Comput..

[8]  Tomoki Miyamoto,et al.  SCC growth behaviors of austenitic stainless steels in simulated PWR primary water , 2012 .

[9]  Per Hokstad Common Cause and Dependent Failure Modeling , 1993 .

[10]  Zahra Mohaghegh,et al.  Analyzing Importance Measure methodologies for integrated Probabilistic Risk Assessment in Nuclear Power Plants , 2014 .

[11]  Ulrich Hauptmanns The multi-class binomial failure rate model , 1996 .

[12]  F. J. Davis,et al.  Illustration of Sampling‐Based Methods for Uncertainty and Sensitivity Analysis , 2002, Risk analysis : an official publication of the Society for Risk Analysis.

[13]  Per Hokstad,et al.  Common Cause Failure Modeling: Status and Trends , 2008 .

[14]  L. N. McCartney,et al.  A model to predict the evolution of pitting corrosion and the pit-to-crack transition incorporating statistically distributed input parameters , 2006 .

[15]  R. Gallucci Statistical Characterization of Cable Electrical Failure Temperatures Due to Fire for Nuclear Power Plant Risk Applications , 2017 .

[16]  Akira Yamaguchi,et al.  α-Decomposition for estimating parameters in common cause failure modeling based on causal inference , 2013, Reliab. Eng. Syst. Saf..

[17]  Karl N. Fleming,et al.  Location Dependent Loss of Coolant Accident Frequencies for Risk-Informed Resolution of Generic Safety Issue 191 , 2012 .

[18]  Sankaran Mahadevan,et al.  Separating the contributions of variability and parameter uncertainty in probability distributions , 2013, Reliab. Eng. Syst. Saf..

[19]  Andrew N. O'Connor A general cause based methodology for analysis of dependent failures in system risk and reliability assessments , 2013 .

[20]  Zahra Mohaghegh,et al.  Global importance measure methodology for integrated probabilistic risk assessment , 2020, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability.

[21]  Ronald L. Iman,et al.  The Repeatability of Uncertainty and Sensitivity Analyses for Complex Probabilistic Risk Assessments , 1991 .

[22]  Nathan Siu,et al.  Bayesian parameter estimation in probabilistic risk assessment , 1998 .

[23]  Mohammad Modarres,et al.  Development of probabilistic models to estimate fire-induced cable damage at nuclear power plants , 2009 .

[24]  Enrique Andres Lopez Droguett Methodology for the treatment of model uncertainty , 1999 .

[25]  M. D. McKay,et al.  A comparison of three methods for selecting values of input variables in the analysis of output from a computer code , 2000 .

[26]  Zahra Mohaghegh,et al.  Incorporating organizational factors into Probabilistic Risk Assessment (PRA) of complex socio-technical systems: A hybrid technique formalization , 2009, Reliab. Eng. Syst. Saf..

[27]  Justin Pence,et al.  Quantifying organizational factors in human reliability analysis using the big data-theoretic algorithm , 2015 .

[28]  Michael S. Eldred,et al.  OVERVIEW OF MODERN DESIGN OF EXPERIMENTS METHODS FOR COMPUTATIONAL SIMULATIONS , 2003 .

[29]  Gary Wu A Probabilistic-Mechanistic Approach to Modeling Stress Corrosion Cracking Propagation in Alloy 600 Components with Applications , 2011 .

[30]  A H Briggs,et al.  Constructing confidence intervals for cost-effectiveness ratios: an evaluation of parametric and non-parametric techniques using Monte Carlo simulation. , 1999, Statistics in medicine.

[31]  Dirk P. Kroese,et al.  Handbook of Monte Carlo Methods , 2011 .

[32]  Zahra Mohaghegh,et al.  Measurement techniques for organizational safety causal models: Characterization and suggestions for enhancements , 2009 .

[33]  Y. Kondo Prediction of Fatigue Crack Initiation Life Based on Pit Growth , 1989 .

[34]  Balbir S. Dhillon,et al.  COMMON-CAUSE FAILURES IN ENGINEERING SYSTEMS: A REVIEW , 1994 .

[35]  S. Kaplan,et al.  On The Quantitative Definition of Risk , 1981 .

[36]  Akira Yamaguchi,et al.  Quantitative common cause failure modeling for auxiliary feedwater system involving the seismic-induced degradation of flood barriers , 2014 .

[37]  Athena Zitrou,et al.  An Influence Diagram Extension of the Unified Partial Method for Common Cause Failures , 2007 .

[38]  Zahra Mohaghegh,et al.  Integrated PRA methodology to advance fire risk modeling for nuclear power plants , 2015 .

[39]  Zahra Mohaghegh,et al.  An integrated methodology for spatio-temporal incorporation of underlying failure mechanisms into fire probabilistic risk assessment of nuclear power plants , 2018, Reliab. Eng. Syst. Saf..

[40]  Zahra Mohaghegh,et al.  Risk-informed emergency response via spatio-temporal socio-technical risk analysis , 2015 .

[41]  Shipra Banik,et al.  Comparison of Some Parametric and Nonparametric Type One Sample Confidence Intervals for Estimating the Mean of a Positively Skewed Distribution , 2010, Commun. Stat. Simul. Comput..

[42]  A H Briggs,et al.  Pulling cost-effectiveness analysis up by its bootstraps: a non-parametric approach to confidence interval estimation. , 1997, Health economics.

[43]  David E. Burmaster,et al.  Assessment of Variability and Uncertainty Distributions for Practical Risk Analyses , 1994 .

[44]  Enrique López Droguett,et al.  Bayesian Methodology for Model Uncertainty Using Model Performance Data , 2008, Risk analysis : an official publication of the Society for Risk Analysis.

[45]  Zahra Mohaghegh,et al.  Modeling the interface of manual fire protection actions with fire progression in fire probabilistic risk assessment of nuclear power plants , 2017 .

[46]  Ali Mosleh,et al.  A general cause based methodology for analysis of common cause and dependent failures in system risk and reliability assessments , 2016, Reliab. Eng. Syst. Saf..

[47]  Scott Ferson,et al.  Model Validation under Both Aleatory and Epistemic Uncertainty. , 2007 .

[48]  Aris Christou,et al.  Physics-based common cause failure modeling in probabilistic risk analysis: A mechanistic perspective , 2011 .

[49]  Hans Janssen,et al.  Monte-Carlo based uncertainty analysis: Sampling efficiency and sampling convergence , 2013, Reliab. Eng. Syst. Saf..

[50]  Enrico Zio,et al.  A stochastic hybrid systems model of common-cause failures of degrading components , 2018, Reliab. Eng. Syst. Saf..

[51]  Toshimitsu Homma,et al.  A New Importance Measure for Sensitivity Analysis , 2010 .

[52]  Zahra Mohaghegh,et al.  Developing a new fire PRA framework by integrating probabilistic risk assessment with a fire simulation module , 2014 .

[53]  Ali Mosleh Common cause failures: An analysis methodology and examples , 1991 .

[54]  A. D. Swain,et al.  Handbook of human-reliability analysis with emphasis on nuclear power plant applications. Final report , 1983 .

[55]  Ali Mosleh Bayesian modeling of expert-to-expert variability and dependence in estimating rare event frequencies , 1992 .

[56]  Zahra Mohaghegh,et al.  Physics of failure, predictive modeling & data analytics for LOCA frequency , 2015, 2015 Annual Reliability and Maintainability Symposium (RAMS).

[57]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[58]  George Apostolakis,et al.  The foundations of models of dependence in probabilistic safety assessment , 1987 .

[59]  M. van der Borst,et al.  An overview of PSA importance measures , 2001, Reliab. Eng. Syst. Saf..

[60]  Min Zhang,et al.  Common cause failure model updating for risk monitoring in nuclear power plants based on alpha factor model , 2017 .

[61]  Justin Pence,et al.  Data-theoretic methodology and computational platform for the quantification of organizational mechanisms in probabilistic risk assessment , 2017 .

[62]  Adam Hapij,et al.  Refined Stratified Sampling for efficient Monte Carlo based uncertainty quantification , 2015, Reliab. Eng. Syst. Saf..

[63]  Zahra Mohaghegh,et al.  Global sensitivity analysis to rank parameters of stress corrosion cracking in the Spatio-Temporal Probabilistic Model of loss of coolant accident frequencies , 2017 .

[64]  Victor Y. Pan,et al.  Numerical methods for roots of polynomials , 2007 .

[65]  Justin Pence,et al.  On the incorporation of spatio-temporal dimensions into socio-technical risk analysis , 2015 .

[66]  Zahra Mohaghegh,et al.  A New Integrated Framework to Advance Fire Probabilistic Risk Analysis of Nuclear Power Plants , 2013 .

[67]  Jon C. Helton,et al.  Use of replicated Latin hypercube sampling to estimate sampling variance in uncertainty and sensitivity analysis results for the geologic disposal of radioactive waste , 2012, Reliab. Eng. Syst. Saf..

[68]  Zahra Mohaghegh,et al.  Incorporating organizational factors into probabilistic risk assessment of complex socio-technical systems: Principles and theoretical foundations , 2009 .

[69]  Justin Pence,et al.  Spatio-temporal socio-technical risk analysis methodology: An application in emergency response , 2017 .

[70]  Zahra Mohaghegh,et al.  Analyzing non-piping location-specific LOCA frequency for risk-informed resolution of generic safety issue 191 , 2015 .

[71]  B. D. Johnston A structured procedure for dependent failure analysis (DFA) , 1987 .

[72]  Justin Pence,et al.  Using GIS to integrate social factors with level 3 PRA for emergency response , 2015 .

[73]  G. Harris,et al.  Use of Monte Carlo methods in environmental risk assessments at the INEL: Applications and issues , 1996 .

[74]  Jon C. Helton,et al.  Characterization of subjective uncertainty in the 1996 performance assessment for the Waste Isolation Pilot Plant , 2000, Reliab. Eng. Syst. Saf..