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Author : H. R. Strauss
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (713 download)
Download or read book Stability of High Beta Tokamaks to Ballooning Modes written by H. R. Strauss and published by . This book was released on 1979 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stability of High Beta Tokamaks to Ballooning Modes written by and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Ballooning modes are found to possess a second stable regime for high beta. The range of unstable beta values depends on the details of the equilibrium, and in particular, on shear, which can be strongly stabilizing.
Download or read book Ballooning-mode Stability of Bean-shaped Cross Sections for High-. Beta. Tokamak Plasmas written by and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Indentation of a tokamak plasma on its inner major radius side is shown to be strongly beneficial for achieving high-.beta. stability against ballooning modes. Using a set of reasonable equilibrium profiles, it is found that moderate indentation provides accessibility to the second region of stability. Ohmic equilibrium configurations which exhibit the second stability region have not yet been found.
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 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.
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Author : M. S. Chance
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (355 download)
Download or read book Ballooning Mode Stability of Bean-shaped Cross Sections for High-[beta] Tokamak Plasmas written by M. S. Chance and published by . This book was released on 1983 with total page 14 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.
Download or read book Stability Limit on Beta in a Tokamak Using the Collisionless Energy Principle written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: It is shown that use of the collisionless, rather than MHD, energy principle has little effect on the limiting .beta. for stability of a tokamak against ballooning modes.
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 : Hiroshi Naitou
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.3/5 (91 download)
Download or read book Energetic Particle Stabilization of Ballooning Modes in a Finite-aspect-ratio Tokamak written by Hiroshi Naitou and published by . This book was released on 1986 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (893 download)
Download or read book Stability of High. Beta. Large Aspect Ratio Tokamaks written by and published by . This book was released on 1991 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: High [beta]([beta]{much gt} [epsilon]/q2) large aspect ratio ([epsilon] {much gt} 1) tokamak equilibria are shown to be always stable to ideal M.H.D. modes that are localized about a flux surface. Both the ballooning and interchange modes are shown to be stable. This work uses the analytic high [beta] large aspect ratio tokamak equilibria developed by Cowley et.al., which are valid for arbitrary pressure and safety factor profiles. The stability results make no assumption about these profiles or the shape of the boundary. 14 refs., 4 figs.
Download or read book Ballooning Mode Second Stability Region for Sequences of Tokamak Equilibria written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical study of several sequences of tokamak equilibria derived from two flux conserving sequences confirms the tendency of high n ideal MHD ballooning modes to stabilize for values of the plasma beta greater than a second critical beta, for sufficiently favorable equilibria. The major stabilizing effect of increasing the inverse rotational transform profile q(Psi) for equilibria with the same flux surface geometry is shown. The unstable region shifts toward larger shear d ln q/d ln .gamma. and the width of the region measured in terms of the poloidal beta or a pressure gradient parameter, for fixed shear, decreases. The smaller aspect ratio sequences are more sensitive to changes in q and have less stringent limits on the attainable value of the plasma beta in the high beta stable region. Finally, the disconnected mode approximation is shown to provide a reasonable description of the second high beta stability boundary.
Download or read book Stability Limitations on High-beta Tokamaks written by and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The MHD equilibrium and stability limitations on the maximum pressure achievable by means of the flux-conserving tokamak concept are investigated. Stability criteria associated with ballooning effects appear to provide the most stringent limitation.
Author : H. Naitou
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.3/5 (91 download)
Download or read book Limit of Possible Operation of Crescent and Bean Shaped Tokamaks written by H. Naitou and published by . This book was released on 1987 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Download or read book Survey of Linear MHD Stability in Tokamak Configurations. [Beta Ratio]. written by and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The results found by MHD stability studies for both low-beta and high-beta tokamaks are reviewed. The stability against kink-ballooning modes in equilibria surrounded by vacuum or a layer of force free currents is considered. Internal kink modes and the relation to interchange modes, which should be considered after external kink modes are suppressed, are surveyed. (MOW).
Download or read book High Beta Plasmas in the PBX Tokamak written by and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Bean-shaped configurations favorable for high .beta. discharges have been investigated in the Princeton Beta Experiment (PBX) tokamak. Strongly indented bean-shaped plasmas have been successfully formed, and beta values of over 5% have been obtained with 5 MW of injected neutral beam power. These high beta discharges still lie in the first stability regime for ballooning modes, and MHD stability analysis implicates the external kink as responsible for the present .beta. limit.
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
