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Ahmed E. Aboanber

Other affiliations: Qassim University
Bio: Ahmed E. Aboanber is an academic researcher from Tanta University. The author has contributed to research in topics: Delayed neutron & Eigenvalues and eigenvectors. The author has an hindex of 14, co-authored 35 publications receiving 542 citations. Previous affiliations of Ahmed E. Aboanber include Qassim University.

Papers
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Journal ArticleDOI
TL;DR: In this paper, a method based on Pade approximations is applied to the solution of the point kinetics equations with a time varying reactivity, which is applicable equally well to nonlinear problems, where the reactivity depends on the neutron density through temperature feedback.
Abstract: A method based on the Pade approximations is applied to the solution of the point kinetics equations with a time varying reactivity. The technique consists of treating explicitly the roots of the inhour formula. A significant improvement has been observed by treating explicitly the most dominant roots of the inhour equation, which usually would make the Pade approximation inaccurate. Also the analytical inversion method which permits a fast inversion of polynomials of the point kinetics matrix is applied to the Pade approximations. Results are presented for several cases of Pade approximations using various options of the method with different types of reactivity. The formalism is applicable equally well to non-linear problems, where the reactivity depends on the neutron density through temperature feedback. It was evident that the presented method is particularly good for cases in which the reactivity can be represented by a series of steps and performed quite well for more general cases.

66 citations

Journal ArticleDOI
TL;DR: In this paper, a method based on the analytical inversion of polynomials of the point kinetics matrix is applied to the solution of the reactor kinetics equations, which is found to be very fast and accurate, and has the ability to reproduce all the features of transients.
Abstract: A method based on the analytical inversion of polynomials of the point kinetics matrix is applied to the solution of the reactor kinetics equations. This method permits a fast inversion of polynomials by going temporarily to the complex plane. Several cases using various options of the method are presented for comparison. The method developed was found to be very fast and accurate, and has the ability to reproduce all the features of transients, including prompt jump. The analysis of the assumption of constant parameters, reactivity, and source, during a time step, are included. It is concluded that the method provides a fast and accurate computational technique for the point kinetics equations with step reactivity.

64 citations

Journal ArticleDOI
TL;DR: In this article, the point reactor kinetics equations of reactor are solved analytically in the presence of delayed neutron with Newtonian feedback for different types of reactivity input using a straightforward recurrence relation of a power series.

55 citations

Journal ArticleDOI
TL;DR: In this article, the point reactor kinetics equations are reduced to a differential equation in matrix form and the coefficients of the series have been obtained from a straightforward recurrence relation, and numerical evaluation is performed by PWS (power series solution) code written in Visual FORTRAN for a personal computer.

44 citations

Journal ArticleDOI
TL;DR: In this paper, a general expression for a special type of functions has been introduced, which allows us to approximate the exponential function in an economical manner, and the different cases of Pade approximation are perturbed so that the resulting approximations have a smaller minimum maximum error on the desired interval especially at large transient time steps.

34 citations


Cited by
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Journal ArticleDOI
01 May 1978
TL;DR: In this article, the authors have considered the interests of both scientists and practising engineers, in addition to serving the needs of the academia, in order to avoid lengthy and repetitive discussions, that are available in many standard text books on reactor physics.
Abstract: This is cne of the r-are text books written in the discipline of Nuclear Reactor Analysis, where the author has considered the interests of both scientists and practising engineers, in addition to serving the needs of the academia. The most attractive feature of this book is a balanced treatment of theory and practice of the subject matter. The theoretical foundations of the reactor design methods are explained with simplified definitions and relevant practical illustrations. The author scans through quickly the traditional aspects of the so-called reactor physics and takes the reader through the details of the analytical aspects in a conventional manner. Hcwever, there is a definite departure from the classical method of approach in order to avoid lengthy and repetitive discussions, that are available in many standard text books on reactor physics. The chief departure fran tradition is the priority accorded to the treatment of the energy part of the problems as opposed to the spatial Dart normally devoted to by other authors . A similar unorthodox approach has been applied while dealing with the solution of the various equations by giving priority to computer oriented mrethods as opposed to the classical solutions.

507 citations

Journal ArticleDOI
TL;DR: In this paper, a fractional point-neutron kinetics model for the dynamic behavior in a nuclear reactor is derived and analyzed, which retains the main dynamic characteristics of the neutron motion in which the relaxation time associated with a rapid variation in the neutron flux contains fractional order.

116 citations

Dissertation
01 Dec 2003
TL;DR: A numerical procedure to efficiently calculate the solution to the point kinetics equation in nuclear reactor dynamics is described and investigated and is proved to converge with order h2 where h is the time step.
Abstract: A numerical procedure to efficiently calculate the solution to the point kinetics equation in nuclear reactor dynamics is described and investigated. Piecewise constant approximations of the reactivity and source functions are made. The resulting system of linear differential equations is solved exactly over each time step. The method is proved to converge with order h2 where h is the time step. The procedure is tested using a variety of initial conditions, data, and reactivity functions. The computational results indicate that the method is efficient and accurate.

103 citations