Title :
Global Sensitivity Analysis in a Multi-State Physics Model of Component Degradation Based on a Hybrid State-Space Enrichment and Polynomial Chaos Expansion Approach
Author :
Rocco, Claudio M. ; Zio, Enrico
Author_Institution :
Univ. Central de Venezuela, Caracas, Venezuela
Abstract :
This paper extends previous works related to the assessment of component degradation, through Markov multi-state physic models. The extension includes the evaluation of the effects of uncertain parameters in the model, and the definition of their importance with respect to their influence on the output of the model. Global Sensitivity Analysis (GSA) is selected as the technique because it enables us to 1) consider the simultaneous effects of parameters variations, and 2) to define importance indexes that allow a ranking of the components. GSA requires a large number of evaluations for specific points, identified by an appropriate design of experiment. To avoid the many costly evaluations, a meta-model is built based on polynomial chaos expansion (PCE). A PCE is a multi-dimensional polynomial approximation of the model with coefficients determined by evaluating the model in a reduced set of predetermined points. Importance index values are then derived directly from the PCE. Because, in the problem considered, the model provides the time-dependent behavior of the state probabilities, the importance indexes are also functions of time. An application is presented, related to the cracking process in an Alloy 82/182 dissimilar metal weld in the primary coolant system of a nuclear power plant.
Keywords :
Markov processes; fission reactor coolants; polynomial approximation; sensitivity analysis; stress corrosion cracking; Alloy 82/182 dissimilar metal weld; GSA; Markov multistate physic models; PCE; component degradation; cracking process; global sensitivity analysis; hybrid state-space enrichment; importance index; multidimensional polynomial approximation; nuclear power plant; polynomial chaos expansion; primary coolant system; Analytical models; Chaos; Computational modeling; Indexes; Markov processes; Physics; Polynomials; Degradation; global sensitivity analysis; inhomogeneous continuous time Markov chain; multi-state physics model; parameter uncertainty; polynomial chaos expansion; state-space enrichment;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2013.2284737