Nonlinear Dynamics and Stability of Boiling Water Reactors: Part 1 — Qualitative Analysis

March-Leuba, J.; Cacuci, Dan Gabriel; Pérez, R.B.

doi:10.13182/nse86-a17663

Cited by 133 publications

(19 citation statements)

References 7 publications

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“…From the results he made that the parametric effect studies are well established thoroughly toward regional instability parametric effect of the reactor core. Its purpose is to led to the understanding that the influence of the different parameters onto both core wide mode and regional mode stability (March-Leuba 1983, 1986a, b and 1993. With LAPUR code, He proposed a mechanism for out-of-phase power instability, which he took the sub-critical point kinetic method.…”

Section: Introductionmentioning

confidence: 99%

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BWR Parametric Sensitivity Effect of Regional Mode Instability on Stability Boundary

Hsieh

Lin

Wang

et al. 2008

JPES

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Both in-phase (core wide mode) instability and out-of-phase (regional mode) instability are of great concerns in BWR stability issues. Normally, decay ratios for regional mode oscillations are much less than those under core wide conditions. However, under certain observation mode, the regional mode instability has the phenomenon of power increasing in one half of the core and at the same time, it decrease in the other half, so it looks like that the average power remains essentially constant. This research presents a study of fractional change of decay ratio to evaluate parametric effects of regional mode instability on reload core design power/flow stability boundary for the Chinshan Nuclear Power Plant Unit 2 Cycle 21 (BWR4). Making use of LAPUR5.2 and SIMULATE-3 codes, we have established a methodology to conduct such out-of-phase stability analysis. Many important parameters, such as system pressure, core flow rates, moderator void fraction, fuel physical and geometrical properties, have strong influences on regional mode stability. Current investigations have shown that at some operation points along the stability boundary, certain parameters present more sensitive characteristics.

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Section: Introductionmentioning

confidence: 99%

“…And this method was based on the homogenous core buckling with reduced-order model. (March-Leuba and Blakeman, 1991). From Hotta (Hotta et al, 1997), he stated that decay ratio induced from the above-mentioned instability, which can be regard as the target of two feedback mechanisms for the core wide and regional mode.…”

Section: Introductionmentioning

confidence: 99%

BWR Parametric Sensitivity Effect of Regional Mode Instability on Stability Boundary

Hsieh

Lin

Wang

et al. 2008

JPES

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“…March-Leuba et al applied a reduced-order model employing the point neutron kinetics to the qualitative analysis for global limit cycle oscillations. 7) This work clarified the basic nonlinear behavior of BWRs across the linear stability threshold. With respect to the regional oscillation, Farawila employed the modal point kinetics, and attempted the similar research done by MarchLeuba.…”

Section: Introductionmentioning

confidence: 83%

Nonlinear Behavior under Regional Neutron Flux Oscillations in BWR Cores

Ikeda

Ama

Hashimoto

et al. 2001

Journal of Nuclear Science and Technology

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A three-dimensional time-domain core analysis code was applied to numerical simulations for an actual regional neutron flux oscillation observed in a commercial BWR core, in order to investigate potential nonlinear behavior in its coupled neutronic and thermohydraulic system. The present study shows existence of the nonlinear reactivity interaction between the fundamental and first azimuthal spatial harmonics modes of neutron flux distribution under the regional event. The spectrum analysis of the simulated data provides a unique result, that is, temporal harmonics peaks are excited at the even-and odd-order multiples of the characteristic resonance frequency in the fundamental and first spatial harmonics responses, respectively. The numerical simulation also shows that the strong nonlinearity of the coupled neutronic and thermohydraulic dynamics locally appears where the power unstably oscillates with large amplitudes, inducing the power shift and reactivity bias which are shown in the core-wide situation under the global oscillations. This contributes to suppression of the divergence of the local power oscillation, and also to development of the saturated self-limited cycles under the regional oscillations.

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“…(3) Bifurcation analyses usually carried out with lowdimensional models that are obtained after reducing the set of governing partial differential equations (PDEs) to a set of ordinary differential equations (ODEs) (Tsuji et al, 1993;March-Leuba et al, 1986a, 1986bMuñoz-Cobo and Verdú, 1991;van Bragt et al, 1999van Bragt et al, , 2000.…”

Section: Introductionmentioning

confidence: 99%

“…This model (March-Leuba, 1986) has been used earlier by March-Leuba et al (1986a) and Muñoz-Cobo and Verdú (1991). Current work exploits the efficiency of general-purpose bifurcation and dynamical system codes to explore semi-analytically and numerically much larger regions in parameter space than studied earlier.…”

Section: Introductionmentioning

confidence: 99%

Turning points and sub- and supercritical bifurcations in a simple BWR model

Rizwan-uddin

2006

Nuclear Engineering and Design

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Nonlinear Dynamics and Stability of Boiling Water Reactors: Part 1 — Qualitative Analysis

Cited by 133 publications

References 7 publications

BWR Parametric Sensitivity Effect of Regional Mode Instability on Stability Boundary

BWR Parametric Sensitivity Effect of Regional Mode Instability on Stability Boundary

Nonlinear Behavior under Regional Neutron Flux Oscillations in BWR Cores

Turning points and sub- and supercritical bifurcations in a simple BWR model

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