Application of poloidal beta and plasma internal inductance in determination of input power time of Damavand tokamak

Ehsanallah Noori,Mahmood Ghoranneviss,Yahya Sadeghi

doi:10.1007/s40094-016-0233-9

Abstract

In this study, magnetic measurement of poloidal fields were used to determine poloidal beta and plasma internal inductance of Damavand tokamak combination of poloidal beta and plasma internal inductance ( $$\beta _p+\dfrac{l_i}{2}$$ ), known as Shafranov parameter, was obtained experimentally in terms of normal and tangential components of the magnetic field. Plasma internal inductance and poloidal beta were obtained using parametrization method based on analytical solution of Grad-Shafranov equation (GSE) and compared with parabolic-like profile of toroidal current density approach for determination of the plasma internal inductance. Finding evolution of $$\beta _p+\dfrac{l_i}{2}$$ and plasma internal inductance. Finding poloidal beta (Shafranov parameter and internal inductance) and using energy balance equation, thermal energy and energy confinement were determined qualitatively in terms of poloidal beta during a regular discharge of Damavand tokamak.

Highlights

Equilibrium parameters of tokamak such as plasma internal inductance, poloidal beta or combination expression bp þ li, 2 known as Shafranov parameter, play very crucial roles in characterization of tokamak activities
Plasma internal inductance and poloidal beta were obtained using parametrization method based on analytical solution of Grad-Shafranov equation (GSE) and compared with parabolic-like profile of toroidal current density approach for determination of the plasma internal inductance
In tokamaks with circular cross section, it is possible to find evolution of the Shafranov parameter using model which is based on expansion of polidal flux function w and the first order solution of the well known Grad-Shafranov equation (GSE) in toroidal coordinate system [8,9,10]

Summary

Introduction

Equilibrium parameters of tokamak such as plasma internal inductance (li), poloidal beta (bp) or combination expression bp þ li, 2 known as Shafranov parameter, play very crucial roles in characterization of tokamak activities. Plasma internal inductance and poloidal beta were obtained using parametrization method based on analytical solution of Grad-Shafranov equation (GSE) and compared with parabolic-like profile of toroidal current density approach for determination of the plasma internal inductance.

Results

Conclusion