References
- J. MARCH-LEUBA, “The Dynamic Behavior of Boiling Water Reactors,” PhD Thesis, The University of Tennessee (1984).
- A. H. NAYFEH and B. BALACHANDRAN, Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods, John Wiley & Sons, Ltd (1995).
- W. M. STACEY, “Linear Analysis of Xenon Spatial Oscillations,” Nucl. Sci. Eng., 30, 3, 453 (1967); https://doi.org/https://doi.org/10.13182/NSE67-A18406.
- G. L. GYOREY, “The Effect of Modal Interaction in the Xenon Instability Problem,” Nucl. Sci. Eng., 13, 4, 338 (1962); https://doi.org/https://doi.org/10.13182/NSE62-A26175.
- K. OBAIDURRAHMAN and J. B. DOSHI, “Spatial Instability Analysis in Pressurized Water Reactors,” Ann. Nucl. Energy, 38, 2–3, 286 (2011); https://doi.org/https://doi.org/10.1016/j.anucene.2010.10.015.
- V. KHALIMONCHUK and A. KUCHIN, “Xenon Fluctuations of Power in WWER-1000,” Proc. 13th Symp. Atomic Energy Research, Hungary (2003).
- G. L. GYOREY, “On the Theory of Xenon Induced Instabilities in Neutron Flux Distribution,” PhD Thesis, The University of Michigan (1960).
- A. CHAKRABORTY, S. SINGH, and M. P. S. FERNANDO, “Linear Stability Analysis of Spatial Xenon Oscillations Including Thermal Hydraulic Feedbacks,” presented at the 24th National and 2nd Int. ISHMT-ASTFE Heat and Mass Transfer Conf. (IHMTC-2017), Hyderabad, India, December 27–30, 2017, At BITS Pilani (2017).
- A. CHAKRABORTY, D. KUKRETY, and S. SINGH, “An Approach for Stability Analysis of Spatial Xenon Oscillations in Large Nuclear Reactors Considering Thermal Hydraulic Feedbacks,” Proc. Int. Conf. on Nuclear Engineering (ICONE), Ibaraki, Japan, May 19-24, 27, 2188 (2019).
- J. B. DOSHI, “Control of Spatial Xenon Oscillations in Large Power Reactors,” presented at Advances in Nuclear Analysis and Simulation (PHYSOR 2006), Vancouver, Canada, September 10–14, 2006.
- M. ZAIDABADI and G. R. ANSARIFAR, “Estimation of Axial Xenon Oscillations with Online Parameter Adaptation in the P.W.R Nuclear Reactors Using Lyapunov Approach Based on the Multipoint Kinetics Reactor Model,” Ann. Nucl. Energy, 108, 277 (2017); https://doi.org/https://doi.org/10.1016/j.anucene.2017.04.028.
- M. H. ESTEKI, G. R. ANSARIFAR, and M. ARGHAND, “Estimation of the Xenon Concentration and Delayed Neutrons Precursors Densities in the Pressurized-water Nuclear Reactors (PWR) with Sliding Mode Observer Considering Xenon Oscillations,” Ann. Nucl. Energy, 77, 1 (2015); https://doi.org/https://doi.org/10.1016/j.anucene.2014.10.041.
- W. M. STACEY, “Control of Xenon Spatial Oscillations,” Nucl. Sci. Eng., 38, 3, 229 (1969); https://doi.org/https://doi.org/10.13182/NSE69-A21157.
- A. P. TIWARI, B. BANYOPADHYAY, and G. GOVINDARAJAN, “Spatial Control of a Large Pressurized Heavy Water Reactor,” IEEE Trans. Nucl. Sci., 43, 2440 (1996); https://doi.org/https://doi.org/10.1109/23.531794.
- A. P. TIWARI, “Modeling and Control of a Large Pressurized Heavy Water Reactor,” PhD Thesis, Department of Electrical Engineering, Indian Institute of Technology Bombay (1999).
- S. R. SHIMJITH et al., “Spatial Stabilization of Advanced Heavy Water Reactor,” Ann. Nucl. Energy, 38, 7, 1545 (2011); https://doi.org/https://doi.org/10.1016/j.anucene.2011.03.008.
- S. R. SHIMJITH, A. P. TIWARI, and B. BANDYOPADHYAY, Modelling and Control of a Large Nuclear Reactor, Vol. 1, Springer (2012).
- A. CHAKRABORTY, S. SINGH, and M. P. S. FERNANDO, “A Novel Approach for Bifurcation Analysis of Out of Phase Xenon Oscillations Using Multipoint Reactor Kinetics,” Nucl. Eng. Des., 328, 333 (2018); https://doi.org/https://doi.org/10.1016/j.nucengdes.2017.12.037.
- A. CHAKRABORTY, S. SINGH, and M. P. S. FERNANDO, “An Improved Reduced Order Model for Nonlinear Stability Analysis of Spatial Xenon Oscillations,” Prog. Nucl. Energy, 116, 62 (2019); https://doi.org/https://doi.org/10.1016/j.pnucene.2019.03.043.
- A. DHOOGE, W. GOVAERTS, and Y. A. KUZNETSOV, “MATCONT: A MATLAB Package for Numerical Bifurcation Analysis of ODEs,” ACM Trans. Math. Softw., 29, 141 (June 2003); https://doi.org/https://doi.org/10.1145/779359.779362.
- S. H. STROGATZ, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering, Westview Press (2000).
- K. RADHAKRISHNAN and A. C. HINDMARSH, “Description and Use of LSODE, the Livermore Solver for Ordinary Differential Equations,” UCRL-ID-113855/NASA RP-1327, National Aeronautics and Space Administration, p. 122 (1993).