Reactor Kinetics and Dynamics

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Code Completion Credits Range Language
17KID Z,ZK 4 2P+2C Czech
Ondřej Huml (guarantor)
Ondřej Huml (guarantor)
Department of Nuclear Reactors

Reactor kinetics, delayed neutrons, mean neutron lifetime, asymptotic period. Zero-power reactor dynamics - Formulation of short-term kinetics equations, delayed neutron parameters, simplified solutions. Zero-power reactor transfer function. Reactivity coefficients for different reactor configurations, temperature coefficients, temperature feedback, reactor stability, linear and nonlinear kinetics. Heat transfer in reactors, reactor dynamics. Mathematical model of power reactor with temperature feedback, simplified models of reactor dynamics, computer models of reactor dynamics.

Syllabus of lectures:

1.Dynamics of zero-power reactor (short-term kinetics) (6 lectures): Equations of reactor kinetics, Integral form of kinetic equations, Analytical solution of kinetic equations, Simplified form of kinetic equations, Transfer function of a zero-power reactor, Frequency response of zero-power reactor.

2.Influence of temperature changes on reactor reactivity (1 lecture)

3.Mathematical model of power reactor (3 lectures): Heat transfer in nuclear power reactors, Mathematical model of reactor with temperature feedback, Simplified models of reactor dynamics.

4.Non-stationary heat transfer in the core - decomposed parameters (2 lectures): Analytical solution of non-stationary equation of heat conduction, Analytical solution of non-stationary equation of fuel channel.

Syllabus of tutorials:

The exercises are composed of analytical examples from the lectures, important formulas are derived. There is a brief introduction to numerical methods of solving differential equations. Numerical simulation of some transition processes and their comparison with analytical solution are performed. At least two exercises take the form of measuring the most important dynamic processes at the VR 1 reactor, including comparison with theoretical results.

Study Objective:
Study materials:

Key references:

[1]Lamarsh J. R., Baratta A. J.: Introduction to Nuclear Engineering, Pearson, 2017, ISBN 978-0-134-57005-1

[2]Hebert A.: Applied Reactor Physics. Quebec: Presses internationales Polytechnique, 2016. ISBN 978-2553016981

Recommended references:

[3]Kropš S.: Temelin Low Power Tests, NUSIM 2001, České Budějovice, 2001

[4]Stacey W. M.: Nuclear Reactor Physics, WILEY-VCH Verlag GmbH & Co. KgaA, Weinheim, 2007, ISBN 978-3-527-40679-1

[5]Lamarsh J.R.: Introduction to Nuclear Reactor Theory. LaGrange Park:ANS, 2002. ISBN 978-0894480409

Time-table for winter semester 2020/2021:
Time-table is not available yet
Time-table for summer semester 2020/2021:
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The course is a part of the following study plans:
Data valid to 2021-03-05
For updated information see http://bilakniha.cvut.cz/en/predmet6304806.html