Power series solutions of the reactor kinetics equations

Nuclear Science and Engineering

Volumn 122, Issue 3, 1996, Pages 407-416

  Basken, Jay ^a   Lewins, Jeffery D ^a,b  

^a University of Wisconsin Madison   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER WORKSTATIONS; CONVERGENCE OF NUMERICAL METHODS; FAST REACTORS; MATHEMATICAL MODELS; NUCLEAR REACTORS; NUMERICAL METHODS; PERSONAL COMPUTERS; PERTURBATION TECHNIQUES; SPREADSHEETS; TRANSIENTS;

POWER SERIES RECURRENCE RELATION; REACTOR KINETICS EQUATIONS; THERMAL REACTOR;

NEUTRONS;

EID: 0030104986     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE96-A24175     Document Type: Article

References (9)

1. J. D. LEWINS, Introduction to Nuclear Reactor Kinetics and Control, Pergamon, Oxford (1978).
2. R. R. COVEYOU and T. W. MULLIKEN, "Solution of the Equation N″ + (a + bt)N′ + (c + dt)N = 0," AECD-2407, Atomic Energy Commission (1948).
3. J. E. WILKINS, Jr., "The Behavior of a Reactor at Prompt Critical When the Reactivity is a Linear Function of Time," Nucl. Sci. Eng., 5, 207 (1959).
4. H. B. SMETS, "Reactor Dynamics at Low Power," Proc. 2nd Int. Conf. Peaceful Uses of Atomic Energy, 11, 237 (1958).
5. H. B. SMETS, "Exact Solutions of the Reactor Kinetics Equations," Bull. Acad. R. Belg., 3, 256 (1959).
6. D. L. HETRICK, Dynamics of Nuclear Reactors, American Nuclear Society, La Grange Park, Illinois (1993).
7. Z. AKCASU, "General Solution of the Reactor Kinetic Equations Without Feedback," Nucl. Sci. Eng., 3, 456 (1958).
8. J. MENNIG and T. AUERBACH, "The Application of Lie Series to Reactor Theory," Nucl. Sci. Eng., 28, 159 (1967).
9. J. D. LEWINS, "Reactivity Oscillations and Stability with Delayed Neutrons," Ann. Nucl. Energy, 22, 6, 411 (1995).