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The Solution of Equilibrium Equation in Tokamak with Fixed Boundary

Author: WangGuiHua
Tutor: GongXueYu
School: Nanhua University
Course: Nuclear Technology and Applications
Keywords: tokamak
CLC: TL631.24
Type: Master's thesis
Year: 2010
Downloads: 38
Quote: 0
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Abstract


In tokamak fusion experimental device, the urgent need to get D type section high temperature plasma equilibrium configuration, internal magnetic surface, poloidal field, toroidal field and safety factor of physical distribution. This article first from MHD balance equation is deduced describe plasma equilibrium problem Grad - Shafranov equation of theoretical formula, and analyzes its fixed boundary area, and then solve way in the given pressure distribution situation, based on the form of energy variational method will be the second order elliptic partial differential equilibrium equation of the boundary value problem is transformed into a order ordinary differential equations, and the initial value problems of this first order ordinary differential equations, the numerical solution obtained D type section plasma poloidal magnetic through distribution, such as for a magnetic surface, poloidal field and toroidal field, and find out the safety factor q (ψ) distribution, and finally to write out the solving related physical quantities of magnetic surface for the average of the program. The results of calculation and foreign calculation results were compared, obtained the very good consistency. That we adopt calculation method and programming and the programming calculation result is credible. The results for further study of the tokamak plasma equilibrium of the related problems of laid a foundation.

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CLC: > Industrial Technology > Nuclear technology > Controlled thermonuclear reactions ( fusion reaction theory and experimental facilities) > Thermonuclear device > Magnetic confinement devices > Closed plasma device > Tokamak
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