Coupling of density wave oscillations in parallel channels with high order modal kinetics: application to BWR out of phase oscillations

Abstract In this paper, we study the behavior of a system formed by two parallel channels coupled to a multimodal kinetics. The first problem that arises is the calculation of the reactivity coefficients for the higher modes. This problem is solved by means of the introduction of distribution factors for a given reactor region which depend on the involved modes. We have also performed a detailed analysis of the different instability types which can be obtained from the model changing the boundary conditions and the feedback gains of the fundamental and first harmonic modes.

[1]  John C. Lee,et al.  Singular perturbation analysis of limit cycle behavior in nuclear-coupled density-wave oscillations , 1987 .

[2]  Gumersindo Verdú,et al.  Non linear analysis of out of phase oscillations in boiling water reactors , 1996 .

[3]  G. Yadigaroglu,et al.  Fundamental and Higher-Mode Density-Wave Oscillations in Two-Phase Flow , 1972 .

[4]  Gumersindo Verdú,et al.  The implicit restarted Arnoldi method, an efficient alternative to solve the neutron diffusion equation , 1999 .

[5]  Allan F. Henry,et al.  SIMULATE-3 Pin Power Reconstruction: Methodology and Benchmarking , 1989 .

[6]  J. Thom,et al.  Prediction of pressure drop during forced circulation boiling of water , 1964 .

[7]  Gumersindo Verdú,et al.  On the regional oscillation phenomenon in BWR's , 2000 .

[8]  Jose March-Leuba,et al.  Dynamic Behavior of Boiling Water Reactors , 1984 .

[9]  John C. Lee,et al.  Phase Plane Analysis of Nuclear-Coupled Density-Wave Oscillations , 1989 .

[10]  W Wulff,et al.  Description and assessment of RAMONA-3B Mod. 0 Cycle 4: a computer code with three-dimensional neutron kinetics for BWR system transients , 1984 .

[11]  T. V. D. Hagen,et al.  Stability of natural circulation boiling water reactors : Part I. Description stability model and theoretical analysis in terms of dimensionless groups , 1998 .

[12]  Jose March-Leuba,et al.  Coupled thermohydraulic-neutronic instabilities in boiling water nuclear reactors: A review of the state of the art , 1993 .

[13]  Kengo Hashimoto,et al.  Linear modal analysis of out-of-phase instability in boiling water reactor cores , 1993 .