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Technical Paper

Power Series Solutions of the Reactor Kinetics Equations

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Pages 407-416 | Published online: 12 May 2017

References

  • J. D. LEWINS, Introduction to Nuclear Reactor Kinetics and Control, Pergamon, Oxford (1978).
  • 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).
  • 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).
  • H. B. SMETS, “Reactor Dynamics at Low Power,” Proc. 2nd Int. Conf. Peaceful Uses of Atomic Energy, 11, 237 (1958).
  • H. B. SMETS, “Exact Solutions of the Reactor Kinetics Equations,” Bull. Acad. R. Belg., 3, 256 (1959).
  • D. L. HETRICK, Dynamics of Nuclear Reactors, American Nuclear Society, La Grange Park, Illinois (1993).
  • Z. AKCASU, “General Solution of the Reactor Kinetic Equations Without Feedback,” Nucl. Sci. Eng., 3, 456 (1958).
  • J. MENNIG and T. AUERBACH, “The Application of Lie Series to Reactor Theory,” Nucl. Sci. Eng., 28, 159 (1967).
  • J. D. LEWINS, “Reactivity Oscillations and Stability with Delayed Neutrons,” Ann. Nucl. Energy, 22, 6, 411 (1995).

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