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Nonlinear Reactor Stability Analysis with Arbitrary Feedback

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Abstract

In this investigation a sufficient condition for the asymptotic stability of a reactor in terms of the equilibrium power level and delayed neutron parameters is presented. This criterion is somewhat more general than various stability criteria proposed by different authors previously, as is clarified later in this paper.

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References

  1. Z. Akçasu, G. S. Lellouche, and L. M. Shotkin, “Mathematical Methods in Nuclear Reactor Dynamics”, Academic Press (1971).

    Google Scholar 

  2. T. B. Enginol, Boğaziçi University Publication, 36/001, (1975); for a summary in English, see also Boğaziçi Univ. J., 3:187, (1975).

    Google Scholar 

  3. N. N. Bogoljubov and J. A. Mitropolski, “Asymptotische Methoden in der Nichtlinearen Schwinggungen”, Akademie Verlag (1965).

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  4. M. Urabe, “Nonlinear Autonomous Oscillations”, Academic Press, (1967).

    MATH  Google Scholar 

  5. T. B. Enginol, On The Asymptotic Stability of Nuclear Reactors with Arbitrary Feedback, Nucl. Sci. Eng., 90:231 (1985).

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  6. T. A. Welton, Systems Kinetics, in “Proc. Symp. Applied Mathematics”, vol. XI, American Mathematical Society (1961).

    Google Scholar 

  7. Z. Akçasu and A. Dalfes, A Study of Nonlinear Reactor Dynamics, Nucl. Sci. Eng., 8:2 (1960).

    Google Scholar 

  8. Z. Akçasu and P. Akhtar, On the Asymptotic Stability of Nuclear Reactors with Arbitrary Feedback, J. Math. Phys. 11:115 (1970).

    Article  ADS  Google Scholar 

  9. T. Şener and V. Altin, Comparison of Two Criteria for Reactor Asymptotic Stability, Turkish J. Nucl. Sci., 10:3, (1983).

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  10. N. Minorsky, “Nonlinear Oscillations”, Van Nostrand Reinhold Company (1970).

    Google Scholar 

  11. T. A. Welton, Kinetics of Stationary Reactor Systems, in “Proc. 1st Int. Conf. Peaceful Uses of Atomic Energy,” vol. 5, United Nations, New York, (1956).

    Google Scholar 

  12. V. Altin and T. B. Enginol, to be published.

    Google Scholar 

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© 1989 Plenum Press, New York

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Enginol, T.B. (1989). Nonlinear Reactor Stability Analysis with Arbitrary Feedback. In: Muñoz-Cobo, J.L., Difilippo, F.C. (eds) Noise and Nonlinear Phenomena in Nuclear Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5613-4_34

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  • DOI: https://doi.org/10.1007/978-1-4684-5613-4_34

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5615-8

  • Online ISBN: 978-1-4684-5613-4

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