Determination of equilibrium plasma parameters plays an important role in design of future magnetic confinement systems such as tokomaks. One of the most important parameters is Shafranov parameter (Λ=β + l/2 − 1/2) which can be obtained from MHD equilibrium, Grad-Shafranov equation. In general, Grad-Shafranov equation is a nonlinear, two dimensional, inhomogeneous, scalar and elliptic partial differential equation. For determination of Shafranov parameter, calculation of azimuthal and radial components of poloidal magnetic field is necessary. In order to determine components of poloidal magnetic field, a set of magnetic probes is required which are located around tokamak plasma.
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机译:平衡等离子体参数的确定在未来的磁约束系统(如托马克)的设计中起着重要作用。最重要的参数之一是Shafranov参数(Λ=β+ l / 2-1/2),可以从MHD平衡,Grad-Shafranov方程获得。通常,Grad-Shafranov方程是一个非线性的,二维的,不均匀的,标量和椭圆形的偏微分方程。为了确定Shafranov参数,必须计算极向磁场的方位角和径向分量。为了确定极向磁场的分量,需要一组位于托卡马克等离子体周围的磁性探针。
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