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Determination of Reactor Dynamic Parameters Using Correlation Equation

Bahrami Babaheydari, Farzad | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54152 (46)
  4. University: Sharif University of Technology
  5. Department: Energy Engineering
  6. Advisor(s): Vosoughi, Naser
  7. Abstract:
  8. Effective delayed neutrons fraction is one of important reactor dynamic parameters. Prompt neutrons decay constant is one of another reactor dynamic parameters that for its relation with effective delayed neutrons fraction is important. The Feynman- alpha method is one of famous methods in noise analysis. In this method, prompt neutrons decay constant can be obtained by obtaining variance to mean ratio of a detector counts in different time windows and fitting a specific formula to these ratios. In previous applied works, required data of Feynman- alpha method were obtaining mainly by experimental data or Monte Carlo simulations. In experimental way, detectors with high efficiency are needed that is a disadvantage for this way. In Monte Carlo simulations in order to variance reduction usually number of tracked particles is increased that causes long run time. In this thesis we try to obtain required mean and variance for Feynman- alpha method and consequently obtain prompt neutrons decay constant with neutron transport equation and neutron correlation equation numerical solving by finite difference method for a determined geometry in both near critical and deeply subcritical states. With mentioned equations solving, finally prompt neutrons decay constant value for near critical state obtained 178.8 s^(-1) and for deeply subcritical state obtained 2792 s^(-1) that for near critical state has 2.48% relative error and for deeply subcritical state has 5.47% relative error and obtained results have good agreement with results of previous carried out works. Prompt neutrons generation time and effective delayed neutrons fraction were obtained too that have relative error 5.38% and 6.86% respectively
  9. Keywords:
  10. Neutron Correlation Equation ; Reactor Dynamic Parameters ; Neutron Transport ; Prompt Neutrons Decay Constant ; Feynman-Alpha Method

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