The present study explores the effects of void-reactivity feedback and neutron interaction on the nonlinear phenomena of a seven-nuclear-coupled boiling channel system with a constant total flow rate. The results show that the void-reactivity feedback and the neutron interaction both have significant effects on the nonlinear characteristics of this system. The complex nonlinear phenomena may depend on the magnitudes of the void-reactivity coefficient and neutron interaction parameter. The results demonstrate that complex nonlinear phenomena, i.e. various complex periodic oscillations and complex chaotic oscillations, can appear in the present system as the variations over certain values of void-reactivity coefficient and neutron interaction parameter under some specific operating states. These imply multiple complex periodic and chaotic attractors, with very interesting and peculiar shapes on the phase space, exist in this system.
Cite this paper
J. Lee, "The Effects of Void-Reactivity Feedback and Neutron Interaction on the Nonlinear Dynamics of a Nuclear-Coupled Boiling System," International Journal of Modern Nonlinear Theory and Application
, Vol. 2 No. 4, 2013, pp. 235-243. doi: 10.4236/ijmnta.2013.24034
 Rizwan-uddin and J. J. Dorning, “A Chaoic Attractor in a Periodically Forced Two Phase Flow System,” Nuclear Science and Engineering, Vol. 100, No. 4, 1988, pp. 393-404.
 A. Clausse and R. T. Lahey Jr., “An Investigation of Periodic and Strange Attractors in Boiling Flows Using Chaos Theory,” Proceedings of the Ninth International Heat Transfer Conference, Vol. 2, Jerusalem, 19-24 August 1990, pp. 3-8.
 Y. N. Lin, J. D. Lee and C. Pan, “Nonlinear Dynamics of a Nuclear-Coupled Boiling Channel with Forced Flows,” Nuclear Engineering and Design, Vol. 179, No. 1, 1998, pp. 31-49. http://dx.doi.org/10.1016/S0029-5493(97)00242-2
 J. D. Lee and C. Pan, “Nonlinear Analysis for a Nuclear-Coupled Two-Phase Natural Circulation Loop,” Nuclear Engineering and Design, Vol. 235, No. 5, 2005, pp. 613-626. http://dx.doi.org/10.1016/j.nucengdes.2004.09.008
 G. V. Durga Prasad and M. Pandey, “Stability Analysis and Nonlinear Dynamics of Natural Circulation Boiling Water Reactors,” Nuclear Engineering and Design, Vol. 238, No. 1, 2008, pp. 229-240. http://dx.doi.org/10.1016/j.nucengdes.2007.05.004
 C. Y. Wu, S. B. Wang and C. Pan, “Chaotic Oscillations in Low Pressure Two-Phase Natural Circulation Loop under Low Power and High Inlet Subcooling Conditions,” Nuclear Engineering and Design, Vol. 162, No. 2-3, 1996, pp. 223-232. http://dx.doi.org/10.1016/0029-5493(95)01127-7
 M. Aritomi, S. Aoki and A. Inoue, “Instabilities in Parallel Channel of Forced-Convection Boiling Upflow System (II) Experimental Results,” Journal of Nuclear Science and Technology, Vol. 14, No. 2, 1977, pp. 88-96. http://dx.doi.org/10.1080/18811248.1977.9730730
 A. Satoh, K. Okamoto and H. Madarame, “Instability of Single-Phase Natural Circulation under Double Loop System,” Chaos, Solitons & Fractals, Vol. 9, No. 9, 1998, pp. 1575-1585. http://dx.doi.org/10.1016/S0960-0779(97)00117-3
 J. D. Lee and C. Pan, “Dynamic Analysis of Multiple Nuclear-Coupled Boiling Channels Based on a MultiPoint Reactor Model,” Nuclear Engineering and Design, Vol. 235, No. 22, 2005, pp. 2358-2374. http://dx.doi.org/10.1016/j.nucengdes.2005.05.031
 J. D. Lee and C. Pan, “Periodic and Chaotic Oscillations in the Nuclear-Coupled Boiling Channel System Subject to Strong Void-Reactivity Feedbacks,” Annals of Nuclear Energy, Vol. 36, No. 5, 2009, pp. 793-801. http://dx.doi.org/10.1016/j.anucene.2009.01.016
 Taiwan Power Company, “Preliminary Safety Analysis Report,” Lungmen Nuclear Power Station Units 1 & 2, Taipei, Taiwan, 1997.
 J. D. Lee and C. Pan, “Dynamics of Multiple Parallel Boiling Channel Systems with Forced Flows,” Nuclear Engineering and Design, Vol. 192, No. 1, 1999, pp. 31-44. http://dx.doi.org/10.1016/S0029-5493(99)00085-0
 D. Kahaner, C. Moler and S. Nash, “Numerical Methods and Software,” Prentice Hall, Upper Saddle River, 1989.
 T. S. Parker and L. O. Chua, “Practical Numerical Algorithms for Chaotic Systems,” Chapter 7, Springer, New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3486-9
 F. C. Moon, “Chaotic and Fractal Dynamics, an Introduction for Applied Scientists and Engineers,” Wiley, New York, 1992, pp. 358-359.