PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Self-consistent diverted tokamak equilibria with nonzero edge current |
Shi Bing-Ren(石秉仁)† |
Southwestern Institute of Physics, Chengdu 610041, China |
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Abstract The semi-analytical method, previously used to construct model double-null and single-null diverted tokamak equilibria (Bingren Shi, Plasma Phys. Control Fusion/ 50 (2008) 085006, 51 (2009) 105008, Nucl. Fusion/ 51 (2011) 023004), is extended to describe diverted tokamak equilibria with nonzero edge current, including the Pfirsch-Schlüter(PS) current. The PS current density is expressed in a way suitable to describe a diverted tokamak configuration in the near separatrix region. The model equilibrium is expressed by only two terms of the exact separable solutions of the Grad-Shafranov equation, one of which is governed by a homogeneous ordinary differential equation, and the other by an inhomogeneous one. The particular merits of such a model configuration are that the internal region inside the separatrix and a suitable scrape-off layer can be simultaneously described by this exact solution. To investigate the physics in the region near the X-point, the magnetic surfaces can be satisfactorily described by approximate hyperbolic curves.
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Received: 01 August 2011
Revised: 02 September 2011
Accepted manuscript online:
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PACS:
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52.55.Fa
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(Tokamaks, spherical tokamaks)
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52.55.Rk
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(Power exhaust; divertors)
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Fund: Project supported by the National Magnetic Confinement Fusion Science Program of China (Grant No. 2009GB101002). |
Corresponding Authors:
Shi Bing-Ren,Shibr@swip.ac.cn
E-mail: Shibr@swip.ac.cn
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Cite this article:
Shi Bing-Ren(石秉仁) Self-consistent diverted tokamak equilibria with nonzero edge current 2012 Chin. Phys. B 21 045203
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