A Full Radius Gyrokinetic Stability Analysis for Large Aspect Ratio Finite-[beta] Tokamaks PDF Download
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Author: Rajaraman Ganesh
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ISBN:
Category :
Languages : en
Pages : 33
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![A Full Radius Gyrokinetic Stability Analysis for Large Aspect Ratio Finite-[beta] Tokamaks PDF](https://books.google.com/books/content/images/frontcover/ILGoXwAACAAJ?fife=w80-h100)
Author: Rajaraman Ganesh
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ISBN:
Category :
Languages : en
Pages : 33
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Author:
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Category :
Languages : en
Pages : 33
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Author: Steven C. Cowley
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Category :
Languages : en
Pages : 26
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Author:
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Category :
Languages : en
Pages : 27
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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.
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Category :
Languages : en
Pages : 11
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Author:
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Category :
Languages : en
Pages : 5
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Author: Hong Qin
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ISBN:
Category : Tokamaks
Languages : en
Pages : 27
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Author:
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ISBN:
Category :
Languages : en
Pages : 46
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An analytic solution of the high? (?{bar?}{sub p} -?q2/? {much gt} 1) equilibrium of a large aspect ratio tokamak is presented. Two arbitrary flux functions, the pressure profile p and the safety factor profile q , specify the equilibrium. The solution splits into two asymptotic regions: the core region where? is a function of the major radius alone and a narrow boundary layer region adjoining the conducting wall. The solutions in the two regions are asymptotically matched to each other. For monotonic pressure profiles, the Shafranov shift is equal to the minor radius. For? much bigger than one, the solution contains a region (in place of the magnetic axis) of zero magnetic field and constant pressure. At high? the quantity?{sub I}, which is essentially proportional to the pressure over the total current squared, is largely independent of pressure. We discuss the important ramifications of limited?{sub I} for high? reactors. Generalizations to shaped cross sections and hollow pressure profiles are outlined. We also consider the problem of equilibrium reconstruction in the high {beta} regime. 8 refs., 7 figs.
Author: Canh Ngoc Nguyen
Publisher:
ISBN:
Category : Tokamaks
Languages : en
Pages : 372
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Models for large scale instabilities in tokamaks are developed, and they are tested together with models for transport and other physical processes by comparing the results of BALDUR integrated predictive modeling simulations with experimental data from tokamaks. Simulations are carried out for the low aspect ratio tokamaks, Mega Ampere Spherical Tokamak and the National Spherical Torus Experiment, to test the applicability of models that were developed for conventional tokamaks. The results indicate that neoclassical transport dominates over anomalous transport in the inner third of the plasma. Sawtooth oscillations, which are the result of an instability that periodically redistributes the central part of the plasma profiles, play a significant role by radially spreading the neutral beam injection heating profiles across the broad sawtooth mixing region. Two models for sawtooth oscillations, the Porcelli and the Kadomtsev models, are combined and tested against experimental data from the Joint European Torus and the Tokamak Fusion Test Reactor. Most of the sawtooth crashes are triggered by the m = 1 resistive internal kink mode in the semi-collisional regime. The median sawtooth period increases with increasing magnetic reconnection fraction. The best overall agreement with experimental data is obtained with a magnetic reconnection fraction of approximately 55%. Finally, plasma pressure effects are included in a quasi-linear model for saturated tearing modes, which are instabilities that produce magnetic islands. The model is used in a stand-alone code, and in the BALDUR code, to calculate the widths of saturated magnetic islands in tokamak plasmas with arbitrary cross-section and plasma pressure. The widths of tearing mode islands increase with decreasing aspect ratio and with increasing elongation. Also, the island widths increase when the gradient of the current density increases at the edge of the islands or when the current density inside the islands is suppressed. The widths oscillate in time in response to periodic sawtooth crashes. Local enhancements in the transport produced by magnetic islands have a noticeable effect on global plasma confinement in simulations of low aspect ratio, high beta tokamaks, where saturated tearing mode islands can occur with widths greater than 15% of the plasma minor radius.
Author: Jonathan Edward Menard
Publisher:
ISBN:
Category : National Spherical Torus Experiment (Project).
Languages : en
Pages : 8
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