References
- R. E. UHRIG, Random Noise Techniques in Nuclear Reactor Systems, Ronald Press (1970).
- I. PÁZSIT, Z. F. KUANG, and A. PRINJA, “A Unified Theory of Zero Power and Power Reactor Noise via Backward Master Equations,” Ann. Nucl. Energy, 29, 2, 169 (2002); https://doi.org/10.1016/S0306-4549(01)00029-9.
- M. M. R. WILLIAMS, Random Processes in Nuclear Reactors, Pergamon Press (1974).
- I. PÁZSIT and L. PÁL, Neutron Fluctuations: A Treatise on the Physics of Branching Process, Elsevier Print (2008).
- T. YAMAMOTO, “Implementation of a Frequency-Domain Neutron Noise Analysis Method in a Production Level Continuous Monte Carlo Code: Verification and Applications in a BWR,” Ann. Nucl. Energy, 115, 494 (2018); https://doi.org/10.1016/j.anucene.2018.02.008.
- D. R. HARRIS, “Stochastic Fluctuations is a Power Reactror,” WAPD-TM-290, U.S. Atomic Energy Commission (1958).
- L. PÁL and I. PÁZSIT, “Theory of Neutron Noise in a Temporally Fluctuating Multiplying Medium,” Nucl. Sci. Eng., 155, 3, 425 (2007); https://doi.org/10.13182/NSE07-A2674.
- M. A. RODRIGUEZ and L. PESQUERA, “Stability Analysis of Linear Reactor Systems with Reactivity Fluctuations,” J. Nucl. Sci. Technol., 21, 10, 797 (1984); https://doi.org/10.1080/18811248.1984.9731115.
- J. HAYES and E. ALLEN, “Stochastic Point-Kinetic Equations in Nuclear Reactor Dynamics,” Ann. Nucl. Energy, 32, 572 (2005); https://doi.org/10.1016/j.anucene.2004.11.009.
- M. M. R. WILLIAMS, “The Kinetic Behaviour of Simple Neutronic Systems with Randomly Fluctuating Parameters,” J. Nucl. Eng., 25, 563 (1971); https://doi.org/10.1016/0022-3107(71)90051-7.
- G. TH. ANALYTIS, “Investigation of the Space-Dependent Global Component of the Neutron-to-Inlet Coolant Temperature Fluctuations Transfer Function,” Ann. Nucl. Energy, 5, 597 (1978); https://doi.org/10.1016/0306-4549(78)90034-8.
- I. PÁZSIT and G. TH. ANALYTIS, “Theoretical Investigation of the Neutron Noise Diagnostics of the Two-Dimensional Control Rod Vibrations in PWR,” Ann. Nucl. Energy, 7, 3, 171 (1980); https://doi.org/10.1016/0306-4549(80)90082-1.
- K. SAITO, “Analytical Study of Operating Reactor Noise on a Single Channel and Single Phase Flow Model,” J. Nucl. Sci. Technol., 10, 5, 259 (1973); https://doi.org/10.1080/18811248.1973.9735418.
- G. STEIN and C. DUBI, “Stabilization of the Stochastic Point Reactor Kinetics Equation Through Power Feedback,” Eur. Phys. J. Plus, 135 (2020); https://doi.org/10.1140/epjp/s13360-020-00215-z.
- U. ROHDE et al., “Neutron Noise Observation in German KWU Built PWRs and Analyses with the Reactor Dynamics Code DYN3D,” Ann. Nucl. Energy, 112, 715 (2018); https://doi.org/10.1016/j.anucene.2017.10.033.
- D. CHIONIS et al., “PWR Neutron Noise Phenomenology: Part I—Simulation of Stochastic Phenomena with SIMULATE-3K,” Proc. PHYSOR 2018, Cancun, Mexico, April 22–26, 2018.
- D. CHIONIS et al., “PWR Neutron Noise Phenomenology: Part II—Qualitative Comparison Against Plant Data,” Proc. PHYSOR 2018, Cancun, Mexico, April 22–26, 2018.
- H. MALMIR and N. VOSOUGHI, “Neutron Noise Induced by Fluctuations of the Boric Acid Content in Pressurized Water Reactors,” Proc. PHYSOR 2014, Kyoto, Japan, September 28– October 3, 2014.
- K. SAITO, “Source Papers in Reactor Noise,” Prog. Nucl. Energy, 3, 3, 157 (1979); https://doi.org/10.1016/0149-1970(79)90018-0.
- A. M. WEINBERG and H. C. SCHWEINLER, “Theory of Oscillating Absorber in a Chain Reactor,” Phys. Rev., 74, 8, 851 (1948); https://doi.org/10.1103/PhysRev.74.851.
- A. BEN-ADBENNOUR, R. EDWARDS, and K. LEE, “LQG/LTR Robust Control of Nuclear Reactors with Improved Temperature Performance,” IEEE Trans. Nucl. Sci., 39, 2286 (Nov. 1992); https://doi.org/10.1109/23.211438.
- F. HAGHIGHAT, T. E. UNNY, and M. CHANDRASHEKAR, “Stochastic Modeling of Transient Heat Flow Through Walls,” J. Sol. Energy Eng., 107, 202 (1985); https://doi.org/10.1115/1.3267679.
- C. DUBI and R. ATAR, “Modeling Neutron Count Distribution in a Subcritical Core by Stochastic Differential Equations,” Ann. Nucl. Energy, 111, 608 (2018); https://doi.org/10.1016/j.anucene.2017.09.040.
- Z. GAJIC and M. T. J. QURESHI, “Lyapunov Matrix Equation in System Stability and Control,” Mathematics in Science and Engineering, No. 195, Academic Press (1995).
- E. GILAD et al., “Sensitivity of Power Spectral Density Techniques to Numerical Parameters in Analyzing Neutron Noise Experiments,” Prog. Nucl. Energy, 101, 288 (Nov. 2017); https://doi.org/10.1016/j.pnucene.2017.03.019.
- P. KLOEDEN and E. PLATEN, Numeric Solutions to Stochastic Differential Equations, “ Applications of Mathematics,” Chap. 23, Springer (1992, 1995, 1999).