Safety Factor Profile Control in a Tokamak

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Publisher : Springer Science & Business Media
ISBN 13 : 3319019589
Total Pages : 105 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Safety Factor Profile Control in a Tokamak by : Federico Bribiesca Argomedo

Download or read book Safety Factor Profile Control in a Tokamak written by Federico Bribiesca Argomedo and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of the Safety Factor Profile in a Tokamak uses Lyapunov techniques to address a challenging problem for which even the simplest physically relevant models are represented by nonlinear, time-dependent, partial differential equations (PDEs). This is because of the spatiotemporal dynamics of transport phenomena (magnetic flux, heat, densities, etc.) in the anisotropic plasma medium. Robustness considerations are ubiquitous in the analysis and control design since direct measurements on the magnetic flux are impossible (its estimation relies on virtual sensors) and large uncertainties remain in the coupling between the plasma particles and the radio-frequency waves (distributed inputs). The Brief begins with a presentation of the reference dynamical model and continues by developing a Lyapunov function for the discretized system (in a polytopic linear-parameter-varying formulation). The limitations of this finite-dimensional approach motivate new developments in the infinite-dimensional framework. The text then tackles the construction of an input-to-state-stability Lyapunov function for the infinite-dimensional system that handles the medium anisotropy and provides a common basis for analytical robustness results. This function is used as a control-Lyapunov function and allows the amplitude and nonlinear shape constraints in the control action to be dealt with. Finally, the Brief addresses important application- and implementation-specific concerns. In particular, the coupling of the PDE and the finite-dimensional subsystem representing the evolution of the boundary condition (magnetic coils) and the introduction of profile-reconstruction delays in the control loop (induced by solving a 2-D inverse problem for computing the magnetic flux) is analyzed. Simulation results are presented for various operation scenarios on Tore Supra (simulated with METIS) and on TCV (simulated with RAPTOR). Control of the Safety Factor Profile in a Tokamak will be of interest to both academic and industrially-based researchers interested in nuclear energy and plasma-containment control systems, and graduate students in nuclear and control engineering.

Nuclear Fusion

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Publisher :
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4.:/5 (6 download)

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Book Synopsis Nuclear Fusion by :

Download or read book Nuclear Fusion written by and published by . This book was released on 2001-11 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fusion Science and Technology

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Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Fusion Science and Technology by :

Download or read book Fusion Science and Technology written by and published by . This book was released on 2009 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Problem of the Stability Of Motion

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Publisher : CRC Press
ISBN 13 : 9780748400621
Total Pages : 284 pages
Book Rating : 4.4/5 (6 download)

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Book Synopsis General Problem of the Stability Of Motion by : A M Lyapunov

Download or read book General Problem of the Stability Of Motion written by A M Lyapunov and published by CRC Press. This book was released on 1992-08-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes more widely accessible the text of Lyapunov's major memoir of the general problem of the stability of motion. Translated by A. T. Fuller (University of Cambridge), the work is now available for the first time in the English language, and marked the centenary of the Russian publication in the late 1800s. Including a biography of Lyapunov and a comprehensive bibliography of his work, this excellent volume will prove to be of fundamental interest to all those concerned with the concept of the stability of motion, boundaries of stability, and with nonlinear dynamics.

Nonlinear Systems Analysis

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Publisher : SIAM
ISBN 13 : 9780898719185
Total Pages : 515 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Nonlinear Systems Analysis by : M. Vidyasagar

Download or read book Nonlinear Systems Analysis written by M. Vidyasagar and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.

Robust Nonlinear Control Design

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Publisher : Springer Science & Business Media
ISBN 13 : 0817647597
Total Pages : 268 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Robust Nonlinear Control Design by : Randy A. Freeman

Download or read book Robust Nonlinear Control Design written by Randy A. Freeman and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This softcover book summarizes Lyapunov design techniques for nonlinear systems and raises important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here.

Nonlinear Dynamical Control Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1475721013
Total Pages : 427 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Nonlinear Dynamical Control Systems by : Henk Nijmeijer

Download or read book Nonlinear Dynamical Control Systems written by Henk Nijmeijer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.

Nonlinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1475731086
Total Pages : 690 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Nonlinear Systems by : Shankar Sastry

Download or read book Nonlinear Systems written by Shankar Sastry and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.

Numerical Simulation and Optimal Control in Plasma Physics

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Author :
Publisher : Bordas Editions
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Simulation and Optimal Control in Plasma Physics by : Jacques Blum

Download or read book Numerical Simulation and Optimal Control in Plasma Physics written by Jacques Blum and published by Bordas Editions. This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytic Semigroups and Optimal Regularity in Parabolic Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3034805578
Total Pages : 437 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Analytic Semigroups and Optimal Regularity in Parabolic Problems by : Alessandra Lunardi

Download or read book Analytic Semigroups and Optimal Regularity in Parabolic Problems written by Alessandra Lunardi and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones. Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived. The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in parabolic partial differential equations and systems. It gives a comprehensive overview on the present state of the art in the field, teaching at the same time how to exploit its basic techniques. - - - This very interesting book provides a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and how this theory may be used in the study of parabolic partial differential equations; it takes into account the developments of the theory during the last fifteen years. (...) For instance, optimal regularity results are a typical feature of abstract parabolic equations; they are comprehensively studied in this book, and yield new and old regularity results for parabolic partial differential equations and systems. (Mathematical Reviews) Motivated by applications to fully nonlinear problems the approach is focused on classical solutions with continuous or Hölder continuous derivatives. (Zentralblatt MATH)

Iter Physics

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Publisher : World Scientific
ISBN 13 : 9814678686
Total Pages : 248 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Iter Physics by : C Wendell Horton, Jr

Download or read book Iter Physics written by C Wendell Horton, Jr and published by World Scientific. This book was released on 2015-06-25 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The promise of a vast and clean source of thermal power drove physics research for over fifty years and has finally come to collimation with the international consortium led by the European Union and Japan, with an agreement from seven countries to build a definitive test of fusion power in ITER. It happened because scientists since the Manhattan project have envisioned controlled nuclear fusion in obtaining energy with no carbon dioxide emissions and no toxic nuclear waste products.This large toroidal magnetic confinement ITER machine is described from confinement process to advanced physics of plasma-wall interactions, where pulses erupt from core plasma blistering the machine walls. Emissions from the walls reduce the core temperature which must remain ten times hotter than the 15 million degree core solar temperature to maintain ITER fusion power. The huge temperature gradient from core to wall that drives intense plasma turbulence is described in detail.Also explained are the methods designed to limit the growth of small magnetic islands, the growth of edge localized plasma plumes and the solid state physics limits of the stainless steel walls of the confinement vessel from the burning plasma. Designs of the wall coatings and the special 'exhaust pipe' for spent hot plasma are provided in two chapters. And the issues associated with high-energy neutrons — about 10 times higher than in fission reactions — and how they are managed in ITER, are detailed.

Hydraulics in Civil and Environmental Engineering

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Publisher : CRC Press
ISBN 13 : 1000395642
Total Pages : 682 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Hydraulics in Civil and Environmental Engineering by : Andrew Chadwick

Download or read book Hydraulics in Civil and Environmental Engineering written by Andrew Chadwick and published by CRC Press. This book was released on 2021-06-07 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text, now in its sixth edition, combines a thorough coverage of the basic principles of civil engineering hydraulics with a wide-ranging treatment of practical, real-world applications. It now includes a powerful online resource with worked solutions for chapter problems and solution spreadsheets for more complex problems that may be used as templates for similar issues. Hydraulics in Civil and Environmental Engineering is structured into two parts to deal with principles and more advanced topics. The first part focuses on fundamentals, such as hydrostatics, hydrodynamics, pipe and open channel flow, wave theory, physical modelling, hydrology and sediment transport. The second part illustrates engineering applications of these principles to pipeline system design, hydraulic structures, river and coastal engineering, including up-to-date environmental implications, as well as a chapter on computational modelling, illustrating the application of computational simulation techniques to modern design, in a variety of contexts. New material and additional problems for solution have been added to the chapters on hydrostatics, pipe flow and dimensional analysis. The hydrology chapter has been revised to reflect updated UK flood estimation methods, data and software. The recommendations regarding the assessment of uncertainty, climate change predictions, impacts and adaptation measures have been updated, as has the guidance on the application of computational simulation techniques to river flood modelling. Andrew Chadwick is an honorary professor of coastal engineering and the former associate director of the Marine Institute at the University of Plymouth, UK. John Morfett was the head of hydraulics research and taught at the University of Brighton, UK. Martin Borthwick is a consultant hydrologist, formerly a flood hydrology advisor at the UK’s Environment Agency, and previously an associate professor at the University of Plymouth, UK.

Magnetic Control of Tokamak Plasmas

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Publisher : Springer
ISBN 13 : 3319298909
Total Pages : 208 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Magnetic Control of Tokamak Plasmas by : Marco Ariola

Download or read book Magnetic Control of Tokamak Plasmas written by Marco Ariola and published by Springer. This book was released on 2016-02-23 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a complete treatment of work done to resolve the problems of position-, current-, and shape-control of plasma in tokamak-type (toroidal) devices being studied as a potential means of commercial energy production by nuclear fusion. Modelling and control are both detailed, allowing non-expert readers to understand the control problem. Starting from the magneto-hydro-dynamic equations, all the steps needed for the derivation of plasma state-space models are enumerated with frequent recall of the basic concepts of electromagnetics. The control problem is then described, beginning with the control of current and position—vertical and radial—control and progressing to the more challenging shape control. The solutions proposed vary from simple PIDs to more sophisticated MIMO controllers. The second edition of Magnetic Control of Tokamak Plasmas contains numerous updates and a substantial amount of completely new material covering areas such as: • modelling and control of resistive wall modes—the most important non-axisimmetric mode; • the isoflux approach for shape control; • a general approach for the control of limiter plasmas; • the use of inner vessel coils for vertical stabilization; and • significantly enhanced treatment of plasma-shape control at JET, including experimental results and introducing a method implemented for operation in the presence of current saturations. Whenever possible, coverage of the various topics is rounded out with experimental results obtained on currently existing tokamaks. The book also includes a presentation of the typical actuators and sensors used for control purposes in tokamaks. Some mathematical details are given in the appendices for the interested reader. The ideas formulated in this monograph will be of great practical help to control engineers, academic researchers and graduate students working directly with problems related to the control of nuclear fusion. They will also stimulate control researchers interested more generally in the advanced applications of the discipline. Advances in Industrial Control aims to report and encourage the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control.

Masters Theses in the Pure and Applied Sciences

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Publisher : Springer
ISBN 13 : 9780306341205
Total Pages : 320 pages
Book Rating : 4.3/5 (412 download)

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Book Synopsis Masters Theses in the Pure and Applied Sciences by : Wade H. Shafer

Download or read book Masters Theses in the Pure and Applied Sciences written by Wade H. Shafer and published by Springer. This book was released on 1976 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Masters Theses in the Pure and Applied Sciences was first conceived, published, and dis· seminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) *at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the ac· tivity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volume were handled by an international publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 20 (thesis year 1975) a total of 10,374 theses titles from 28 Canadian and 239 United States universities. We are sure that this broader base for theses titles reported will greatly enhance the value of this important annual reference work. The organization of Volume 20 is identical to that of past years. It consists of theses titles arranged by discipline and by university within each discipline.

Radio Frequency Power in Plasmas

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Author :
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Radio Frequency Power in Plasmas by : Donald B. Batchelor

Download or read book Radio Frequency Power in Plasmas written by Donald B. Batchelor and published by American Institute of Physics. This book was released on 1992 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the Ninth Topical Conference on [title], held in Charleston, SC, August 1991, comprise invited and contributed papers on topics in the areas of electron cyclotron range of frequencies, lower hybrid range of frequencies, ion cyclotron range of frequencies, current drive, RF technol

Lower Hybrid Current Drive Experiments in the HT-7 Tokamak

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Author :
Publisher : Nova Novinka
ISBN 13 : 9781616688646
Total Pages : 0 pages
Book Rating : 4.6/5 (886 download)

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Book Synopsis Lower Hybrid Current Drive Experiments in the HT-7 Tokamak by : Zhongyong Chen

Download or read book Lower Hybrid Current Drive Experiments in the HT-7 Tokamak written by Zhongyong Chen and published by Nova Novinka. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The achievement of steady state operation and long pulse is one of the major challenges in the tokamak plasmas. One of the most effective means to sustain tokamak steady state operation is non-inductive current drive (NICD) by lower hybrid (LH) wave. Lower hybrid current drive (LHCD) as an effective NICD tool has been demonstrated in many tokamaks. LHCD is used to modify the plasma current profile to improve the MHD stability, or used in conjunction with ion Bernstein wave (IBW) to achieve high performance discharge. The achievement of high current drive efficiency is of primary importance since it determines the required power that must be recycled to sustain the plasma current. This book discusses the lower-hybrid current drive experiences currently being done in regards to HT-7 tokamaks.

Magnetohydrodynamic Stability of Tokamaks

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Publisher : John Wiley & Sons
ISBN 13 : 3527412328
Total Pages : 254 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Magnetohydrodynamic Stability of Tokamaks by : Hartmut Zohm

Download or read book Magnetohydrodynamic Stability of Tokamaks written by Hartmut Zohm and published by John Wiley & Sons. This book was released on 2015-02-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the gap between general plasma physics lectures and the real world problems in MHD stability. In order to support the understanding of concepts and their implication, it refers to real world problems such as toroidal mode coupling or nonlinear evolution in a conceptual and phenomenological approach. Detailed mathematical treatment will involve classical linear stability analysis and an outline of more recent concepts such as the ballooning formalism. The book is based on lectures that the author has given to Master and PhD students in Fusion Plasma Physics. Due its strong link to experimental results in MHD instabilities, the book is also of use to senior researchers in the field, i.e. experimental physicists and engineers in fusion reactor science. The volume is organized in three parts. It starts with an introduction to the MHD equations, a section on toroidal equilibrium (tokamak and stellarator), and on linear stability analysis. Starting from there, the ideal MHD stability of the tokamak configuration will be treated in the second part which is subdivided into current driven and pressure driven MHD. This includes many examples with reference to experimental results for important MHD instabilities such as kinks and their transformation to RWMs, infernal modes, peeling modes, ballooning modes and their relation to ELMs. Finally the coverage is completed by a chapter on resistive stability explaining reconnection and island formation. Again, examples from recent tokamak MHD such as sawteeth, CTMs, NTMs and their relation to disruptions are extensively discussed.