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On the limitations of linear power reactor noise analysis: A point kinetics approach

Ayyoubzadeh, S. M ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1016/j.anucene.2016.12.007
  3. Publisher: Elsevier Ltd , 2017
  4. Abstract:
  5. A novel method is introduced which allows the higher order perturbative solution of a linear operator with a time variant coefficient. This method employs a form of raising and lowering operators which generate higher and lower order harmonics from a given harmonic. The analysis has been applied to the point kinetics equations with a monotone oscillatory reactivity to place bounds on the relative error of the linearization method frequently employed in the power reactor noise techniques. As a result, the maximum permissible reactivity amplitude for a given reactor as a function of frequency has been obtained such that regular power reactor noise methods remain accurate enough. Three benchmarks in subcritical and critical configurations show the accuracy of this method. © 2016 Elsevier Ltd
  6. Keywords:
  7. Linear perturbation range of validity ; Parametrically excited ; Point kinetics ; Power reactor noise ; Second order noise ; Kinetics ; Mathematical operators ; Linear perturbations ; Power reactor ; Second orders ; Reactor cores
  8. Source: Annals of Nuclear Energy ; Volume 102 , 2017 , Pages 124-133 ; 03064549 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0306454916302092