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Type: Journal article
Title: Cross-section parameterization of the pebble bed modular reactor using the dimension-wise expansion model
Author: Zivanovic, R.
Bokov, P.
Citation: Annals of Nuclear Energy, 2010; 37(12):1763-1773
Publisher: Pergamon-Elsevier Science Ltd
Issue Date: 2010
ISSN: 0306-4549
Statement of
Rastko Živanović and Pavel M. Bokov
Abstract: This paper discusses the use of the dimension-wise expansion model for cross-section parameterization. The components of the model were approximated with tensor products of orthogonal polynomials. As we demonstrate, the model for a specific cross-section can be built in a systematic way directly from data without any a priori knowledge of its structure. The methodology is able to construct a finite basis of orthogonal polynomials that is required to approximate a cross-section with pre-specified accuracy. The methodology includes a global sensitivity analysis that indicates irrelevant state parameters which can be excluded from the model without compromising the accuracy of the approximation and without repetition of the fitting process. To fit the dimension-wise expansion model, Randomised Quasi-Monte-Carlo Integration and Sparse Grid Integration methods were used. To test the parameterization methods with different integrations embedded we have used the OECD PBMR 400 MW benchmark problem. It has been shown in this paper that the Sparse Grid Integration achieves pre-specified accuracy with a significantly (up to 1-2 orders of magnitude) smaller number of samples compared to Randomised Quasi-Monte-Carlo Integration. © 2010 Elsevier Ltd. All rights reserved.
Keywords: Neutron cross-section parameterization
Monte-Carlo Integration
Sparse Grid Integration
Global sensitivity analysis
Rights: Copyright © 2010 Elsevier Ltd. All rights reserved.
DOI: 10.1016/j.anucene.2010.06.017
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Electrical and Electronic Engineering publications

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