A bifurcation analysis of boiling water reactor on large domain of parametric spaces

Pandey, V. C.; Singh, Suneet

doi:10.1016/j.cnsns.2016.01.018

Cited by 16 publications

(2 citation statements)

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“…This model also indicated that these limit cycle oscillations can become unstable-when increasing the heat transfer from the reactor to the coolant-and can undergo period-doubling bifurcations causing oscillatory (from periodic to aperiodic) time evolutions of the state variables (power, delayed neutron precursors, reactivity, coolant void fraction, and fuel temperature). The reduced-order model introduced by March-Leuba, Cacuci, and Perez [45] has generated great interest in the scientific community, inspiring investigations of the stability limits for in-phase and out-of-phase oscillation modes and the nature of the underlying bifurcations in the various state functions, as exemplified by [48][49][50][51][52][53][54][55].…”

Section: High-order Sensitivity and Uncertainty Analysis Of Nonlinear...mentioning

confidence: 99%

“…The results of the sensitivity and uncertainty analyses presented in Section 4.1 are obtained by applying the first-order particularization of the n th -CASAM-N [42], the general form of which is reviewed in Section 4.2. The work of March-Leuba, Cacuci, and Perez [45] has inspired several related models of BWR-dynamics [46][47][48][49][50][51][52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

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Overview of Arbitrarily High-Order Adjoint Sensitivity and Uncertainty Quantification Methodology for Large-Scale Systems

Cacuci

2022

Energies

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This work reviews from a unified viewpoint the concepts underlying the “nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems” (nth-CASAM-L) and the “nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems” (nth-CASAM-N) methodologies. The practical application of the nth-CASAM-L methodology is illustrated for an OECD/NEA reactor physics benchmark, while the practical application of the nth-CASAM-N methodology is illustrated for a nonlinear model of reactor dynamics that exhibits periodic and chaotic oscillations. As illustrated both by the general theory and by the examples reviewed in this work, both the nth-CASAM-L and nth-CASAM-N methodologies overcome the curse of dimensionality in sensitivity analysis. The availability of efficiently and exactly computed sensitivities of arbitrarily high order can lead to major advances in all areas that need such high-order sensitivities, including data assimilation, model calibration, uncertainty reduction, and predictive modeling.

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