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Monday, May 18, 2020 | History

2 edition of Stability analysis of nuclear reactors using Liapunov"s Second Method found in the catalog.

Stability analysis of nuclear reactors using Liapunov"s Second Method

by Fernando Antonio D"Alessio-Ipinza

  • 335 Want to read
  • 4 Currently reading

Published by Naval Postgraduate School .
Written in English

    Subjects:
  • Mechanical engineering

  • ID Numbers
    Open LibraryOL25327728M

    We use the obtained model in the controller design process and use the Lyapunov method to perform a stability analysis of the closed-loop system. We simulate the proposed reduced-order fractional-order sliding mode controller (ROFOSMC) using Matlab/Simulink, and its performance is compared with that of a reduced order integer-order sliding mode Cited by: 9. There are currently around 78 Nuclear Power Plants (NPP) in the world based on Boiling Water Reactors (BWR). The current parameter to assess BWR instability issues is the linear Decay Ratio (DR). However, it is well known that BWRs are complex non-linear dynamical systems that may even exhibit chaotic dynamics that normally preclude the use of the DR when the BWR is working at a specific Cited by: 2.

    Mathematical Methods in Nuclear Reactor Dynamics covers the practical and theoretical aspects of point-reactor kinetics and linear and nonlinear reactor dynamics. The book, which is a result of the lectures given at the University of Michigan, is composed of seven chapters. Routh-Hurwitz Stability Criterion Linear Stability Analysis of. Nuclear Reactor Design and Analysis. This note will focus on the basics of nuclear reactor design. Topics covered includes: Design, and Licensing, Reactors and Core Concepts, Heating, Fuel, and Fuel Element Analysis, Reactor Flow and Pump Sizing, Introductory Neutronics, Six Factor Formula, Neutron Transport, Neutron Kinetics, Power Conversion Systems, Nuclear Safety and Nuclear Safety Analysis.

    @article{osti_, title = {Nuclear reactor analysis}, author = {Duderstadt, J J and Hamilton, L J}, abstractNote = {This comprehensive introduction covers the fundamental scientific principles governing nuclear fission reactors and the methods used in modern nuclear reactor analysis and design. The book is divided into four parts: Part 1 presents a relatively elementary and qualitative. 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 Author: Turan B. Enginol.


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Stability analysis of nuclear reactors using Liapunov"s Second Method by Fernando Antonio D"Alessio-Ipinza Download PDF EPUB FB2

StabilityAnalysisofNuclearReactors Using Liapunov'sSecondMethod by FernandoAntonioD 'Alessio-Ipinza Lieutenant,PeruvianNavy B.S.M.E.,NavalPostgraduateSchool, In this paper, a general methodology has been developed for the linear stability analysis of nuclear reactors using the lumped reactor model.

The reactor kinetics has been modelled using the point. The results of an analysis for the stability of a nuclear reactor are shown in Fig. 1, where we show the variation of Lyapunov exponents with respect to the fuel concentration and thereby clarify the reactor super critical domain.

The Lyapunov exponent takes negative values around the Cited by: 8. Stability analysis of nuclear reactors using Liapunov's Second Method. By Fernando Antonio. D'Alessio-Ipinza The response of the reactor to a particular feedback is analyzed by using Liapunov's Second Method to specify stability regimes.

Both, the point-kinetics model and the distributed parameters system are : Fernando Antonio. D&#;Alessio-Ipinza. Dynamics and stability for nuclear reactors have a relativ ely short history—about 50 years.

V arious models were considered and analyzed in hundreds of papers and do zens of. The stability analysis of a natural circulation integrated self-pressurized water reactor is investigated by the Lyapunov approach.

The analysis of the pressurized water reactors (PWRs), particularly the integrated self-pressurized water reactors, is essential in keeping the neutronic and thermal-hydraulic parameters of the system : A.F.

Pilehvar, M.H. Esteki, G.R. Ansarifar, A. Hedayat. Introduction. Considering that the safety of a nuclear system is closely relevant to its stability, predicting its instability becomes of utmost importance and so, many practical and theoretical studies have been performed on the subject in the recent decades (Morales-Sandoval and Hernandez-Solis,Lewins and Ngcobo, ).On the other side, having a glance on the neutron energy cross Author: M.

Shayesteh, S. Behnia, A. Abdi Saray. The second half of the book deals with the two main topics of interest related to operating reactors – reactor kinetics/dynamics, and in-core fuel management. Additional chapters have been added to expand and bring the material up-to-date and include the utilization of more computer codes.

The nonlinear stability of a two-temperature reactor is investigated using the high power describing function and Nyquist stability criterion with particular attention to the existence and. Applications of Lyapunov Methods in Stability. February ; variations of initial concentrations of the reactor input substances, modifications of environment thermodynamic parameters.

These authors concluded that the use of both the dominant Lyapunov exponent method and the SOCI method, with the Savitzky–Golay filtering method, for the analysis of BWR APRM signals should be complementary to the linear methods.

Stability analysis in nuclear reactors using Lyapunov exponents was applied to study the fuel by: 9. his textbook is intended to be an introduction to nuclear reactor kinetics, dynamics and stability for students of energy engineering and applied sciences as well as for professionals working in the nuclear field.

The basic aspects of transient behavior of nuclear reactors are presented with focus on how to solve practical by: 3.

The nonlinear stability analysis of boiling water nuclear reactors (BWRs) is conducted with the aid of so-called advanced, well validated, system codes and an advanced reduced order model to build. Linear and Non-Linear Stability Analysis in Boiling Water Reactors: The Design of Real-Time Stability Monitors presents a thorough analysis of the most innovative BWR reactors and stability phenomena in one accessible book presents a summary of existing literature on BWRs to give early career engineers and researchers a solid background in the field, as well as the latest research.

Nuclear reactor physics is the core discipline of nuclear engineering. and research applications for nuclear reactors. The second edition of this successful comprehensive textbook and reference on basic and advanced nuclear reactor physics has been completely updated, revised and enlarged to include the latest developments.

SciTech Book. They used Lyapunov's Second Method, and showed that a sufficient condition of stability is that the reactor be stable without delayed neutrons precursors. Chernick () reported the results of his work on space-independent xenon oscillations in a nuclear reactor.

He modeled the reactor using a set of ODEs, and carried out linear and nonlinear analyses to study the stability of the fundamental by: 2. The first part looks at basic reactor physics, including, but not limited to nuclear reactions, diffusion theory, reactor dynamics, fuel burnup and reactor safety.

The second part then deals with such physically and mathematically more advanced topics as neutron transport theory, resonance absorption and neutron thermalization.

A new Lyapunov function for the nonlinear reactor system was constructed by adding nonlinear terms to that of the linear system. The result enables one to determine the region of stability and indicates the proper feedback function which would insure the global stability of the by: 5.

Reactor Stability Reactor Transfer Function with Reactivity Feedback. Stability Analysis for a Simple Feedback Model. Threshold Power Level for Reactor Stability. More General Stability Conditions. Power Coefficients and Feedback Delay Time Constants.

Measurement of Reactor Transfer Functions Rod Oscillator Method. Mathematical Methods in Nuclear Reactor Dynamics covers the practical and theoretical aspects of point-reactor kinetics and linear and nonlinear reactor dynamics. The book, which is a result of the lectures given at the University of Michigan, is composed of seven Edition: 1.

The non-linear stability of a nuclear reactor system with two-temperature feedback has been analysed. Using Welton's criterion as well as Liapounov's second method, it has been shown that if the delayed temperature coefficient lies between certain limits of opposite signs, the system will be globally and asymptotically stable.

It has also been proved that the region of global stability in the Cited by: 1.Space–Time Neutron Kinetics. Prof. Weston M. Stacey. Georgia Institute of Technology, Nuclear & Radiological Engineering, Atlantic Drive, NW, Atlanta, GA ‐, USA Classical Linear Stability Analysis.

Lyapunov's Method. Lyapunov's Method for Distributed Parameter Systems. Control. Variational Methods of Control Theory.Lecture Notes on Nonlinear Systems and Control Spring Semester ETH Zurich Peter Al Hokayem and Eduardo Gallestey ABB Switzerland, Ltd.

Segelhof 1K CH, Baden-D attwil -hokayem,[email protected] Size: 3MB.