Magnetohydrodynamic Stability of Tokamaks

Magnetohydrodynamic Stability of Tokamaks
Author: Hartmut Zohm
Publisher: John Wiley & Sons
Total Pages: 254
Release: 2015-02-09
Genre: Science
ISBN: 3527412328

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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.

Theory of Tokamak Plasmas

Theory of Tokamak Plasmas
Author: R.B. White
Publisher: Elsevier
Total Pages: 374
Release: 2017-01-31
Genre: Science
ISBN: 1483293262

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This is a graduate textbook on tokamak physics, designed to provide a basic introduction to plasma equilibrium, particle orbits, transport, and those ideal and resistive magnetohydrodynamic instabilities which dominate the behavior of a tokamak discharge, and to develop the mathematical methods necessary for their theoretical analysis.

Stability and Transport in Magnetic Confinement Systems

Stability and Transport in Magnetic Confinement Systems
Author: Jan Weiland
Publisher: Springer Science & Business Media
Total Pages: 235
Release: 2012-06-27
Genre: Science
ISBN: 1461437431

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Stability and Transport in Magnetic Confinement Systems provides an advanced introduction to the fields of stability and transport in tokamaks. It serves as a reference for researchers with its highly-detailed theoretical background, and contains new results in the areas of analytical nonlinear theory of transport using kinetic theory and fluid closure. The use of fluid descriptions for advanced stability and transport problems provide the reader with a better understanding of this topic. In addition, the areas of nonlinear kinetic theory and fluid closure gives the researcher the basic knowledge of a highly relevant area to the present development of transport physics.

Magnetic Control of Tokamak Plasmas

Magnetic Control of Tokamak Plasmas
Author: Marco Ariola
Publisher: Springer
Total Pages: 208
Release: 2016-02-23
Genre: Technology & Engineering
ISBN: 3319298909

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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.

MHD Stability for a Class of Tokamak Equilibria With Fixed Boundary

MHD Stability for a Class of Tokamak Equilibria With Fixed Boundary
Author: W Kerner
Publisher: Legare Street Press
Total Pages: 0
Release: 2023-07-18
Genre:
ISBN: 9781020788390

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MHD Stability for a Class of Tokamak Equilibria with Fixed Boundary is a comprehensive study of the stability of tokamak plasmas. W Kerner provides an in-depth analysis of magnetohydrodynamics and discusses the stability of tokamak plasmas with a fixed boundary. This book is an essential reference for physicists and engineers working in the field of fusion energy. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Ideal MHD

Ideal MHD
Author: Jeffrey P. Freidberg
Publisher: Cambridge University Press
Total Pages: 743
Release: 2014-06-26
Genre: Science
ISBN: 1107006252

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Comprehensive, self-contained, and clearly written, this book describes the macroscopic equilibrium and stability of high temperature plasmas.