Nonlinear analysis for a nuclear-coupled two-phase natural circulation loop

Nuclear Engineering and Design

Volumn 235, Issue 5, 2005, Pages 613-626

  Lee, Jin Der ^a   Pan, Chin ^b  

^a CHIN MIN INSTITUTE OF TECHNOLOGY   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICS; FEEDBACK CONTROL; FRACTALS; MATHEMATICAL MODELS; SYSTEM STABILITY;

CHAOTIC ATTRACTORS; NATURAL CIRCULATION LOOPS; NUCLEAR FEEDBACK; VOID-REACTIVITY FEEDBACK;

NUCLEAR ENGINEERING;

EID: 31744449623     PISSN: 00295493     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nucengdes.2004.09.008     Document Type: Article

References (20)

1. 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 Jerusalum 1990 3 8
2. K. Fukuda, and T. Kobori Classification of two-phase flow instability by density wave oscillation model J. Nucl. Sci. Technol. 16 1979 95
3. Jeng, H.R., Pan, C., 1994. Multiple steady-state solutions for a two-phase natural circulation loop with subcooled boiling. In: Proceedings of the 4th International Topical Meeting on Nuclear Thermal Hydraulics, Operations and Safety, vol. 2, paper 53-c.
4. D. Kahaner, C. Moler, and S. Nash Numerical Methods and Software 1989 Prentice Hall
5. J.D. Lee, and C. Pan Effect of the feedwater temperature variations on BWR stability Nucl. Sci. J. 37 2000 1 21 (Taiwan)
6. Y.N. Lin, and C. Pan Nonlinear analysis for a natural circulation boiling channel Nucl. Eng. Des. 152 1994 349 360
7. Y.N. Lin, J.D. Lee, and C. Pan Nonlinear dynamics of a nuclear-coupled boiling channel with forced flow Nucl. Eng. Des. 179 1998 31 49
8. J. March-Leuba, D.G. Cacuci, and R.B. Perez Nonlinear dynamics and stability of boiling water reactors: part I - qualitative analysis Nucl. Sci. Eng. 93 1986 111 123
9. F.C. Moon Chaotic and Fractal Dynamics, An Introduction for Applied Scientists and Engineers 1992 Wiley New York pp. 358-359
10. T.S. Parker, and L.O. Chua Practical Numerical Algorithms for Chaotic Systems 1989 Springer New York (Chapter 7)
11. Rizwan-Uddin, and J.J. Dorning Some nonlinear dynamics of a heated channel Nucl. Eng. Des. 93 1986 1 14
12. Rizwan-Uddin, and J.J. Dorning A chaoic attractor in a periodically forced two-phase flow system Nucl. Sci. Eng. 100 1988 393 404
13. G. Su, D. Jia, K. Fukuda, and Y. Guo Theoretical and experimental study on density wave oscillation of two-phase natural circulation of low equilibrium quality Nucl. Eng. Des. 215 2002 187 198
14. Taiwan Power Company, 1992. Kuosheng Nuclear Power Station Units 1 and 2. Final safety analysis report. Taipei, Taiwan.
15. Taiwan Power Company, 1997. Lungmen Nuclear Power Station Units 1 and 2. Preliminary safety analysis report. Taipei, Taiwan.
16. D.D.B. Van Bragt, and T.H.J.J. van der Hagen Stability of natural circulation boiling water reactors: part-II - parametric study of coupled neutronic-thermohydraulic stability Nucl. Technol. 121 1998 52
17. D.D.B. Van Bragt, Rizwan-Uddin, and T.H.J.J. van der Hagen Nonlinear analysis of a natural circulation boiling water reactor Nucl. Sci. Eng. 131 1999 23 44
18. Van Bragt, D.D.B., 1999b. Analytical modeling of boiling water reactor dynamics. Ph.D. Thesis. Department of Reactor Physics of the Interfaculty Reactor Institute, Delft University of Technology.
19. F.S. Wang, L.W. Hu, and C. Pan Thermal and stability analysis of a two-phase natural circulation loop Nucl. Sci. Eng. 117 1994 33 46
20. 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 Nucl. Eng. Des. 162 1996 223 232