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Author : M. S. Chance
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (713 download)
Download or read book Ideal MHD Stability of Very High Beta Tokamaks written by M. S. Chance and published by . This book was released on 1990 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ideal MHD Stability of Very High Beta Tokamaks written by and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Achieving very high [beta] and high [beta]{sub p} simultaneously in tokamaks generally implies that the second stability region against ballooning modes must be accessed. They describe several approaches for doing this, which are characterized by the choice of constraints imposed on the equilibrium profiles and the cross-sectional shape of the plasma. The combination of high toroidal beta, restricting the current density to vanish at the edge of the plasma and maintaining a monotonic q profile, proves to be the most stringent. Consideration of equilibria with high [epsilon][beta]{sub p} but low [beta] facilitates accessibility with peaked pressure profiles and high values of q0. Allowing the pressure gradient and hence the current density to be finite at the plasma edge allows all surfaces to lie within the second stability regime. For free boundary plasmas with divertors, the divertor stabilized edge region remains in the first stability regime while the plasma core reaches into the second regime. Careful tailoring of the profiles must be used to traverse the unstable barrier commonly seen near the edge of these plasmas. The CAMINO code allows them to compute s-[alpha] curves for general tokamak geometry. These diagrams enable them to construct equilibria whose profiles are only constrained, at worst, to be marginally stable everywhere, but do not necessarily satisfy the constraints on the current or [beta]. There are theoretical indications that under certain conditions the external kinks possess a second region of stability at high q0 that is analogous to that of the ballooning modes. It is found that extremely accurate numerical means must be developed and applied to confidently establish the validity of these results.
Author : Hartmut Zohm
Publisher : John Wiley & Sons
ISBN 13 : 3527412328
Total Pages : 254 pages
Book Rating : 4.5/5 (274 download)
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.
Download or read book MHD Stability Limits on High-. Beta. Tokamaks written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Limitations on high-.beta. tokamaks are imposed by a number of ideal and resistive MHD instabilities. The present paper reports results on three such studies: (1) Numerical analysis using the Princeton PEST code on .beta. optimization of tokamaks for low toroidal mode numbers n; (2) analytic and numerical results on ideal ballooning modes with high n; and (3) analytic and numerical results on resistive ballooning modes at high n.
Author : D. Sherwell
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (13 download)
Download or read book Magnetohydrodynamic Stability Limits of a High Beta Tokamak with Superimposed Helical Fields, Ideal written by D. Sherwell and published by . This book was released on 1981 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeffrey P. Freidberg
Publisher : Cambridge University Press
ISBN 13 : 1107006252
Total Pages : 743 pages
Book Rating : 4.1/5 (7 download)
Download or read book Ideal MHD written by Jeffrey P. Freidberg and published by Cambridge University Press. This book was released on 2014-06-26 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive, self-contained, and clearly written, this book describes the macroscopic equilibrium and stability of high temperature plasmas.
Author :
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (95 download)
Download or read book A Large Beta, MHD Stability, Neutral Beam Heating Steady-state Tokamak written by and published by . This book was released on 1982 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Observation of Finite-. Beta. MHD Phenomena in Tokamaks written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Stable high-beta plasmas are required for the tokamak to attain an economical fusion reactor. Recently, intense neutral beam heating experiments in tokamaks have shown new effects on plasma stability and confinement associated with high beta plasmas. The observed spectrum of MHD fluctuations at high beta is clearly dominated by the n = 1 mode when the q = 1 surface is in the plasma. The m/n = 1/1 mode drives other n = 1 modes through toroidal coupling and n> 1 modes through nonlinear coupling. On PDX, with near perpendicular injection, a resonant interaction between the n = 1 internal kink and the trapped fast ions results in loss of beam particles and heating power. Key parameters in the theory are the value of q0 and the injection angle. High frequency broadband magnetic fluctuations have been observed on ISX-B and D-III and a correlation with the deterioration of plasma confinement was reported. During enhanced confinement (H-mode) discharges in divertor plasmas, two new edge instabilities were observed, both localized radially near the separatrix. By assembling results from the different tokamak experiments, it is found that the simple theoretical ideal MHD beta limit has not been exceeded. Whether this represents an ultimate tokamak limit or if beta optimized configurations (Dee- or bean-shaped plasmas) can exceed this limit and perhaps enter a second regime of stability remains to be clarified.
Author :
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (16 download)
Download or read book MHD Stability of Tokamak Plasmas written by and published by . This book was released on 1992 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper will give an overview of the some of the methods which are used to simulate the ideal MHD properties of tokamak plasmas. A great deal of the research in this field is necessarily numerical and the substantial progress made during the past several years has roughly paralleled the continuing availability of more advanced supercomputers. These have become essential to accurately model the complex configurations necessary for achieving MHD stable reactor grade conditions. Appropriate tokamak MHD equilibria will be described. Then the stability properties is discussed in some detail, emphasizing the difficulties of obtaining stable high [beta] discharges in plasmas in which the current is mainly ohmically driven and thus demonstrating the need for tailoring the current and pressure profiles of the plasma away from the ohmic state. The outline of this paper will roughly follow the physics development to attain the second region of stability in the PBX-M device at The Princeton Plasmas Physics Laboratory.
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Download or read book High Beta Tokamaks. [MHD Equilibrium, Stability, and Transport Calculations]. written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: MHD equilibrium, stability, and transport calculations are made to study the accessibility and behavior of ''high beta'' tokamak plasmas in the range .beta. approximately 5 to 15 percent. For next generation devices, beta values of at least 8 percent appear to be accessible and stable if there is a conducting surface nearby.
Author : Linjin Zheng
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627057072
Total Pages : 178 pages
Book Rating : 4.6/5 (27 download)
Download or read book Advanced Tokamak Stability Theory written by Linjin Zheng and published by Morgan & Claypool Publishers. This book was released on 2014-04-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the advanced stability theories for magnetically confined fusion plasmas, especially in tokamaks. As the fusion plasma sciences advance, the gap between the textbooks and cutting-edge researches gradually develops. This book fills in
Author : Glenn Bateman
Publisher : MIT Press (MA)
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.3/5 (91 download)
Download or read book MHD Instabilities written by Glenn Bateman and published by MIT Press (MA). This book was released on 1978 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (468 download)
Download or read book Begravelsesritual written by and published by . This book was released on 1910 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Goedbloed
Publisher : Cambridge University Press
ISBN 13 : 110857758X
Total Pages : 995 pages
Book Rating : 4.1/5 (85 download)
Download or read book Magnetohydrodynamics of Laboratory and Astrophysical Plasmas written by Hans Goedbloed and published by Cambridge University Press. This book was released on 2019-01-31 with total page 995 pages. Available in PDF, EPUB and Kindle. Book excerpt: With ninety per cent of visible matter in the universe existing in the plasma state, an understanding of magnetohydrodynamics is essential for anyone looking to understand solar and astrophysical processes, from stars to accretion discs and galaxies; as well as laboratory applications focused on harnessing controlled fusion energy. This introduction to magnetohydrodynamics brings together the theory of plasma behavior with advanced topics including the applications of plasma physics to thermonuclear fusion and plasma- astrophysics. Topics covered include streaming and toroidal plasmas, nonlinear dynamics, modern computational techniques, incompressible plasma turbulence and extreme transonic and relativistic plasma flows. The numerical techniques needed to apply magnetohydrodynamics are explained, allowing the reader to move from theory to application and exploit the latest algorithmic advances. Bringing together two previous volumes: Principles of Magnetohydrodynamics and Advanced Magnetohydrodynamics, and completely updated with new examples, insights and applications, this volume constitutes a comprehensive reference for students and researchers interested in plasma physics, astrophysics and thermonuclear fusion.
Author : Hollis Emmett Dalhed
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.:/5 (89 download)
Download or read book Ideal MHD Equilibrium and Stability of Tokamaks with Asymmetric Cross Section written by Hollis Emmett Dalhed and published by . This book was released on 1980 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book MHD Stability Properties of Bean-shaped Tokamaks written by and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the MHD stability properties of bean-shaped tokamak plasmas is presented. For ballooning modes, while increased indentation gives larger .beta. stable configurations, the existence and accessibility of the second stable region is sensitive to the pressure and safety factor profiles. The second stable region appears at lower .beta. values for large aspect ratio and moderately high q-values. Finite-Larmor-radius (FLR) kinetic effects can significantly improve the stability properties. For low q (
Author : John Wesson
Publisher : Oxford University Press
ISBN 13 : 0199592233
Total Pages : 828 pages
Book Rating : 4.1/5 (995 download)
Download or read book Tokamaks written by John Wesson and published by Oxford University Press. This book was released on 2011-10-13 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tokamak is the principal tool in controlled fusion research. This book acts as an introduction to the subject and a basic reference for theory, definitions, equations, and experimental results. The fourth edition has been completely revised, describing their development of tokamaks to the point of producing significant fusion power.
