Optimal Control of Distributed Nuclear Reactors PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Optimal Control of Distributed Nuclear Reactors PDF full book. Access full book title Optimal Control of Distributed Nuclear Reactors by G.S. Christensen. Download full books in PDF and EPUB format.
Author: G.S. Christensen Publisher: Springer Science & Business Media ISBN: 1489936025 Category : Mathematics Languages : en Pages : 246
Book Description
This book is devoted to the mathematical optimization theory and modeling techniques that recently have been applied to the problem of controlling the shape and intensity of the power density distribution in the core of large nuclear reactors. The book has been prepared with the following purposes in mind: 1. To provide, in a condensed manner, the background preparation on reactor kinetics required for a comprehensive description of the main problems encountered in designing spatial control systems for nuclear reactor cores. 2. To present the work that has already been done on this subject and provide the basic mathematical tools required for a full understand ing of the different methods proposed in the literature. 3. To stimulate further work in this challenging area by weighting the advantages and disadvantages of the existing techniques and evaluating their effectiveness and applicability. In addition to coverage of the standard topics on the subject of optimal control for distributed parametersystems, the book includes, at amathemati cal level suitable for graduate students in engineering, discussions of con ceptsoffunctional analysis, the representation theory ofgroups, and integral equations. Although these topics constitute a requisite for a full understanding of the new developments in the area of reactor modeling and control, they are seidom treated together in a single book and, when they are, their presenta tion isoften directed to the mathematician.They are thus relatively unknown to the engineering community.
Author: G.S. Christensen Publisher: Springer Science & Business Media ISBN: 1489936025 Category : Mathematics Languages : en Pages : 246
Book Description
This book is devoted to the mathematical optimization theory and modeling techniques that recently have been applied to the problem of controlling the shape and intensity of the power density distribution in the core of large nuclear reactors. The book has been prepared with the following purposes in mind: 1. To provide, in a condensed manner, the background preparation on reactor kinetics required for a comprehensive description of the main problems encountered in designing spatial control systems for nuclear reactor cores. 2. To present the work that has already been done on this subject and provide the basic mathematical tools required for a full understand ing of the different methods proposed in the literature. 3. To stimulate further work in this challenging area by weighting the advantages and disadvantages of the existing techniques and evaluating their effectiveness and applicability. In addition to coverage of the standard topics on the subject of optimal control for distributed parametersystems, the book includes, at amathemati cal level suitable for graduate students in engineering, discussions of con ceptsoffunctional analysis, the representation theory ofgroups, and integral equations. Although these topics constitute a requisite for a full understanding of the new developments in the area of reactor modeling and control, they are seidom treated together in a single book and, when they are, their presenta tion isoften directed to the mathematician.They are thus relatively unknown to the engineering community.
Author: Rolando Nieva Gómez Publisher: ISBN: Category : Functional analysis Languages : en Pages : 0
Book Description
The minimum norm formalism of functional analysis is applied to the problem of controlling the neutron flux distribution in nuclear reactors. The application of the optimization technique is first described in terms of a general linear distributed parameter model. The general results thus obtained are later particularized to the specific case of a homogeneous slab reactor with the one-energy neutronic model. The reduction of distributed parameter systems into decoupled and more tractable subsystems is discussed. It is demonstrated how symmetry principles can facilitate the practical implementation of the optimization techniques to more realistic distributed models which may include for example reactor configurations in two or three dimensions. A new model expansion method is developed for solving the system of partial differential equations that describe the transient behavior of the most important fission product concentrations in thermal nuclear reactors.
Author: Kun Soo Chang Publisher: ISBN: Category : Automatic control Languages : en Pages : 106
Book Description
The synthesis of optimal control of distributed parameter processes governed by a system of simultaneous partial differential equations of the first-order in two independent and n dependent variables is considered. The theory on necessary conditions for optimal control, the computational algorithm based on the first-order variations, and the method of characteristics are applied to the optimal control of a plug-flow tubular reactor with non-linear chemical kinetics. Optimal response to oscillatory feed disturbances is also investigated. In some cases it may be desirable to operate under intentionally oscillatory input conditions. Extensive numerical computations are presented. (Author).
Author: Publisher: Elsevier ISBN: 0080955320 Category : Mathematics Languages : en Pages : 186
Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author: S. P. Banks Publisher: Elsevier ISBN: 1483151123 Category : Computers Languages : en Pages : 554
Book Description
Control of Distributed Parameter Systems covers the proceedings of the Second IFAC Symposium, Coventry, held in Great Britain from June 28 to July 1, 1977. The book focuses on the methodologies, processes, and techniques in the control of distributed parameter systems, including boundary value control, digital transfer matrix, and differential equations. The selection first discusses the asymptotic methods in the optimal control of distributed systems; applications of distributed parameter control theory of a survey; and dual variational inequalities for external eigenvalue problems. The book also ponders on stochastic differential equations in Hilbert space and their application to delay systems and linear quadratic optimal control problem over an infinite time horizon for a class of distributed parameter systems. The manuscript investigates the semigroup approach to boundary value control and stability of nonlinear distributed parameter systems. Topics include boundary control action implemented through a dynamical system; classical boundary value controls; stability of nonlinear systems; and feedback control on the boundary. The text also focuses on the functional analysis interpretation of Lyapunov stability; method of multipliers for a class distributed parameter systems; and digital transfer matrix approach to distributed system simulation. The selection is a dependable source of data for readers interested in the control of distributed parameter systems.
Author: G.S. Christensen
Author: G.S. Christensen
Author: Adel Abdel-Hamid El-Bassioni
Author: Ronald R. Mohler
Author: Rolando Nieva Gómez
Author: Kun Soo Chang
Author: Ronald R. Mohler![Optimal Control of Distributed Parameter Chemical Reactors [by] K.S. Chang PDF](https://books.google.com/books/content/images/frontcover/Co9UewAACAAJ?fife=w80-h100)
Author: Kun Soo Chang
Author: 
Author: Nam Zin Cho
Author: S. P. Banks