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Author : Andrey Martynov
Publisher :
ISBN 13 :
Total Pages : 101 pages
Book Rating : 4.:/5 (853 download)
Download or read book Ideal MHD Stability of Tokamak Plasmas with Moderate and Low Aspect Ratio written by Andrey Martynov and published by . This book was released on 2005 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Author : Jonathan Edward Menard
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (713 download)
Download or read book Unified Ideal Stability Limits for Advanced Tokamak and Spherical Torus Plasmas written by Jonathan Edward Menard and published by . This book was released on 2003 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jonathan Edward Menard
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (713 download)
Download or read book Aspect Ratio Scaling of Ideal No-wall Stability Limits in High Bootstrap Fraction Tokamak Plasmas written by Jonathan Edward Menard and published by . This book was released on 2003 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Daniel Berger
Publisher :
ISBN 13 :
Total Pages : 95 pages
Book Rating : 4.:/5 (636 download)
Download or read book Numerical Computations of the Ideal Magnetohydrodynamic Stability of Small Aspect Ratio Tokamaks written by Daniel Berger and published by . This book was released on 1977 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dependence of Ideal MHD Kink and Ballooning Modes on Plasma Shape and Profiles in Tokamaks written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive numerical studies of ideal MHD instabilities have been carried out to gain insight into the parametric dependence of critical .beta.'s in tokamaks. The large number of interrelated equilibrium quantities involved in establishing a critical .beta. has demanded a careful, systematic survey in order to isolate this dependence. The results of this survey establish the scaling with geometrical quantities including aspect ratio, elongation, and triangularity in the parameter regimes appropriate for both current and reactor-sized plasmas. A moderate dependence on the pressure profile and a strong variation with the current profile is found. The principal result is that for aspect ratio R/a approximately equal to 3, critical .beta.'s are of the order of 2% for circular cross sections and 5% for plasmas with elongation K approximately equal to 2; somewhat higher values could be achieved with more optimal shaping. Finally, sequences of equilibria have been analyzed to compare critical .beta. as a function of toroidal mode number n. We conclude that the infinite-n analytic ballooning theory provides a sufficient condition for ideal MHD internal mode stability. Low-n free boundary modes appear to set a lower limit.
Author : Jonathan Edward Menard
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (713 download)
Download or read book Aspect Ratio Scaling of Ideal No-wall Stability Limits in High Bootstrap Fraction Tokamak Plasmas written by Jonathan Edward Menard and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Manickam
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.:/5 (844 download)
Download or read book Ideal Magnetohydrodynamic Stability Properties of Pressure-driven Modes in Low Shear Tokamaks written by J. Manickam and published by . This book was released on 1987 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.B. White
Publisher : Elsevier
ISBN 13 : 1483293262
Total Pages : 374 pages
Book Rating : 4.4/5 (832 download)
Download or read book Theory of Tokamak Plasmas written by R.B. White and published by Elsevier. This book was released on 2017-01-31 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Ideal MHD Stability Properties of Pressure-driven Modes in Low Shear Tokamaks written by and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The role of shear in determining the ideal MHD stability properties of tokamaks is discussed. In particular, we assess the effects of low shear within the plasma upon pressure-driven modes. The standard ballooning theory is shown to break down, as the shear is reduced and the growth rate is shown to be an oscillatory function of n, the toroidal mode number, treated as a continuous parameter. The oscillations are shown to depend on both the pressure and safety-factor profiles. When the shear is sufficiently weak, the oscillations can result in bands of unstable n values which are present even when the standard ballooning theory predicts complete stability. These instabilities are named ''infernal modes.'' The occurrence of these instabilities at integer n is shown to be a sensitive function of q-axis, raising the possibility of a sharp onset as plasma parameters evolve. 20 refs., 31 figs.
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.
Author : Michael J. Gerver
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (191 download)
Download or read book Access to the Second Stability Region in a High Shear, Low Aspect Ratio Tokamak written by Michael J. Gerver and published by . This book was released on 1988 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Author :
Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.:/5 (31 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability and Additional Heating Properties of Spherical Tokamak Plasmas on Start written by and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutral beam heating has recently been installed on the START tight aspect ratio or 'spherical tokamak' (R/a greater than or equal to 1.2), using equipment loaned by Oak Ridge National Laboratory, USA. This has led to significant improvements in plasma performance - for example, an increased Murakami parameter, n(c)R/B. High central (similar to 48%) and volume averaged (similar to 8.5%) beta-values have been obtained. Calculations show that Troyon scaling still holds at low aspect ratio (with coefficients similar to 4 for ballooning modes, similar to 5 for link modes), indicating that the START device should reach still higher values of beta. It is found that the limiting edge-q rises for aspect ratios less than approximately 1.5, in agreement with theoretical calculations. Energy confinement at low aspect ratio is as good as, or better than, most H-mode scalings from conventional devices (up to twice ITER-93H) - with NBI there is no evidence so far for a power degradation (although P-NBI less than or equal to 1.5P(OH)). In both Ohmic and NBI plasmas, the scrape-off layer (SOL) in double null geometry is narrow, providing a valuable test of SOL models. As reported previously, START is resilient against current-terminating disruptions. It does, however, have more benign internal reconnection events when approaching density and current limits which show the initial features of a disruption (e.g, transient I-p rise and beta(p) fall). A model based on helicity conservation shows that, at tight aspect ratio, smaller falls (and sometimes rises) in edge-q result from falls in beta(p) and I-i, suggesting a possible explanation for the resilience to disruptions of START.
