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Monday, August 3, 2020 | History

3 edition of A study of reactivity changes in the AGN-20l reactor using perturbation theory found in the catalog.

A study of reactivity changes in the AGN-20l reactor using perturbation theory

by David Alan Sager

  • 14 Want to read
  • 21 Currently reading

Published by Naval Postgraduate School in Monterey, California .
Written in English

    Subjects:
  • Polyethylene,
  • Extrapolation,
  • Nuclear reactors,
  • Perturbation (Mathematics),
  • Samarium,
  • Cores,
  • Computer programs

  • About the Edition

    The effects of fuel burnup, fission product poisoning, and hydrogen moderator density variation on reactivity in the AGN-201 reactor are considered. A modified one-group perturbation theory is developed and applied to changes in parameters resulting from a change in hydrogen moderator density. An equation for the reactivity change is obtained for three models: a bare cylindrical core, a bare core using extrapolated dimensions, and a reflected core. These three equations are then used to predict values of the reactivity increase resulting from interchanging in a new 3/4 inch thick fuel disk with comparable fuel disks presently in the core. The results obtained by a digital computer solution of the reactivity equations reveal that the increase in reactivity varies from 0.4392 to 0.7707%, depending upon the core model and position of the old disk within the core. Because the license of the Naval Postgraduate School does not permit a value of excess reactivity above 0.40%, it is concluded that a simple interchange of disks in this manner would produce too large a value of excess reactivity.

    Edition Notes

    StatementDavid Alan Sager
    ContributionsNaval Postgraduate School (U.S.)
    The Physical Object
    FormatElectronic resource
    Pagination92 p.
    Number of Pages92
    ID Numbers
    Open LibraryOL25129335M
    OCLC/WorldCa636108078

    The doppler temperature coefficient is the rate at which reactivity changes with the effective fuel temperature. (dp/dT, pcm/Deg F) The amount of doppler broadening per degree change in temp lowers as the fuel temperature increases. Rate of change in self shielding is less at higher temps. The optimization algorithm combines a two energy group, two-dimensional coarse-mesh finite difference diffusion theory neutronics model to simulate core conditions, a perturbation theory approach to determine reactivity, flux, power and burnup changes as a function of assembly shuffling, and Monte Carlo integer programming to select the optimal.

    reference theta pinch reactor (rtpr): a study of a pulsed high-beta fusion reactor based on the theta pinch. Abstract. Values for reactivity effects are required both for transient safety analysis and for control requirements during normal operation. Reactivity effects of importance in fast reactor design and safety include (1) effects of dimensional changes in core geometry, (2) the Doppler effect, (3) effects of sodium density changes or loss of sodium, and (4) long-term reactivity loss from fuel.

    Reactivity Feedback Perturbation Theory Evaluation of Reactivity Temperature. Reactor Stability Measurement of Reactor Transfer Functions Reactor Transients with Feedback Reactor Fast Excursions Numerical Methods 6 Fuel Burnup Changes in Fuel Composition Samarium. theory as by 3-group theory for the equivalent bare reactor. The reason for this stress on 3-group theory is the fact that a convolution of 2 diffu­ sion kernels gives a better representation of the experimental slowing-down density in water than does the single diffusion kernel of 2-group theory.


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A study of reactivity changes in the AGN-20l reactor using perturbation theory by David Alan Sager Download PDF EPUB FB2

Thesis Advisor(s): Marto, P. Full text of "A study of reactivity changes in the AGNl reactor using perturbation theory" See other formats N PS ARCHIVE SAGER, D.

A STUDY OF REACTIVITY CHANGES IN THE AGN REACTOR USING PERTURBATION THEORY by David Alan Sager DUDLEY KNOX LIBRARY NAVAL POSTGRADUATE SCHOOL MONTEREY, CA United States Naval Postgraduate School THESIS A STUDY OF REACTIVITY CHANGES.

A study of reactivity changes in the AGNl reactor using perturbation theory. and hydrogen moderator density variation on reactivity in the AGN reactor are considered. A modified one-group perturbation theory is developed and applied to changes in parameters resulting from a change in hydrogen moderator density.

An equation for the Author: David Alan Sager. The perturbation theory also predicts that peak neutron flux, reactor power, and wave velocity change almost in direct proportion to each other (see Section 7 of the work (Khotyayintsev et al., ), and accordingly, Fig.

1 shows also variation of the reactor power or peak neutron flux (in appropriate units) with the effective absorber density : Volodymyr M. Khotyayintsev, Olena M. Khotyayintseva, Artem V. Aksonov, Volodymyr Gulik, Volodymyr M. The present study also shows that the use of exact perturbation based reactivity worths introduce no significant changes in the safety behaviour of metal fuel reactor compared to that with the use.

The use of a gas coolant in a fast-spectrum reactor makes it possible to eliminate the reactivity feedback effects that arise from density changes or changes of state in the coolant. This chapter discusses the considerations affecting the choice of the coolant, moderator, and fuel element design for gas-cooled reactors.

Abstract. Since the beginning of nuclear reactor physics studies, perturbation theory has played an important role. As well known, it was first proposed by Wigner (1) as early as to study fundamental quantities such as the reactivity worths of different materials.

This first formulation, which we shall call CPT for conventional perturbation theory, is based on well known quantum mechanics. The first part of the book covers basic reactor physics, including, but not limited to nuclear reaction data, neutron diffusion theory, reactor criticality and dynamics, neutron energy distribution, fuel burnup, reactor types and reactor safety.

this text is ideal for use in numerous courses and for self-study by professionals in basic. Analysis of reactivity changes during the operation of a nuclear power plant Abstract: Innuclear reactors were operating for electricity generation in the world.

More than 60% of all reactors were represented by pressurized water reactors. One of the most modern reactors of this type is the AP reactor, developed by.

Reactor criticality. A – a supercritical state; B – a critical state; C – a subcritical state. In preceding chapters, the classification of states of a reactor according to the effective multiplication factor – k eff was introduced.

The effective multiplication factor – k eff is a measure of the change in the fission neutron population from one neutron generation to the subsequent. perturbation does not change the reactivity even though it results in a flux perturbation.

As mentioned above, in the point kinetics equa tions derived using the initial λ –mode adjoint flux as. 5 Chapter 1 Nuclear reactors and nuclear reactions Principle of a nuclear reactor In a nuclear reactor certain very heavy nuclei (e.g 92U) can be split into two fragments by neutrons, whereby a relatively large amount of energy is released and, moreover, a few new.

Medium-time phenomena are phenomena in which significant changes in reactor properties occur over the course of several hours to a few days. Xe poisoning is an example of a medium-time phenomenon. Long-time phenomena are phenomena in which significant changes in reactor prop-erties occur over months or even years.

The perturbation theory has been introduced in reactor physics in the 50s, and one can find a classical presentation in the Weinberg and Wigner book (see also). This is the perturbation theory applied to the of the critical reactor, and Usachev gave a comprehensive development in an article published at the Geneva conference of THEORY The reactor model used here assumes that the kinetic equations are spatially independent and that one group of delayed neutrons can be used in the absence of an external source and feedback effects.

The reactor kinetic equations for arbitrarily varying reactivity insertions can. Perturbation Theory Evaluation of Reactivity Temperature Coefficients Perturbation Theory Sodium Void Effect in Fast Reactors Doppler Effect in Fast Reactors Fuel and Structure Motion in Fast Reactors Fuel Bowing Representative Fast Reactor Reactivity Coefficients Reactor Stability the kinetics of a chemical reaction in this type of reactor (as well as the special case when it is run as a batch reactor).

It can conveniently be used to study the effects of varying the process conditions such as reaction temperature, reactor volume, stirring rate, feed rate etc. on reaction kinetics. Representative Thermal Reactor Reactivity Coefficients. Startup Temperature Defect.

Perturbation Theory Evaluation of Reactivity Temperature Coefficients. Perturbation Theory. Sodium Void Effect in Fast Reactors. Doppler Effect in Fast Reactors. Fuel and Structure Motion in Fast Reactors. Fuel Bowing.

Introduction to Reactor Physics. Ben Rouben, AECL 2 C + O2 → CO2 (2) comes from a change in mass: the mass of the carbon dioxide molecule is smaller than the sum of the masses of the carbon and oxygen molecules. But the difference is extremely small.

Chemical energy comes from changes in atoms and molecules (e.g. 2). () Nuclear Reactor Theory and Reactor Analysis In Part 1 “Elements of Nuclear Reactor Theory”, we study an overview of nuclear reactors and how nuclear energy is extracted from reactors.

Here, nuclear energy means the energy released in nuclear fission. This occurs because of the absorption of neutrons by fissile material. The sample reactivity worth was measured at the center core which was surrounded with a pseudo-homogeneous fuel to avoid the heterogeneity effect.

In order to use a simple perturbation theory, samples of different thicknesses were used so that the results .These are best obtained using perturbation theory since the determination of them by direct calculation is cumbersome and likely to take a prohibitive amount of computer time.

For the calculation of the sensitivities of spectra at the centre of critical or near critical systems to changes in the group cross sections, the programs SWAN-DP (ref.Reactor Theory (Operations) 1 SUBCRITICAL MULTIPLICATION Subcritical multiplication is the phenomenon that accounts for the changes in neutron flux that takes place in a subcritical reactor due to reactivity changes.

It is important to understand subcritical multiplication in order to understand reactor response to changes in conditions.