title: ÐÐ½Ð°Ð»Ð¸Ð· ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð² Ð¿Ð¾ Ð½Ð°Ð³ÑÐµÐ²Ñ Ð¿Ð»Ð°Ð·Ð¼Ñ Ð½Ð° ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ Â«ÐÐ»Ð¾Ð±ÑÑ-Ð2Â» Ð¿Ð¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ Ð´Ð¸Ð°Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¸ ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Analysis of plasma heating experiments at the Globus-M2 tokamak by using diamagnetic and kinetic measurements
Creators: name: Ð¢ÐºÐ°ÑÐµÐ½ÐºÐ¾, ÐÐºÐ°ÑÐµÑÐ¸Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÐÐ»Ð°Ð·Ð¼Ð° (ÑÐ¸Ð·.)
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Ð²Ð½ÑÑÑÐµÐ½Ð½ÑÑ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ
tokamak
equilibrium reconstruction
Thomson scattering
internal inductance

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð·Ð°Ð¿Ð°ÑÐµÐ½Ð½Ð¾Ð¹ Ð² Ð¿Ð»Ð°Ð·Ð¼Ðµ ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð¸ Ð²Ð½ÑÑÑÐµÐ½Ð½ÐµÐ¹ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ñ Ð½Ð° ÑÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¼ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ ÐÐ»Ð¾Ð±ÑÑ-Ð2 Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð´Ð¸Ð°Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¸ ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹. ÐÑÐ» ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÑÐ°Ð±Ð¾ÑÑ Ñ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ½ÑÐ¼ ÐºÐ¾Ð´Ð¾Ð¼ PET, Ð² ÐºÐ¾ÑÐ¾ÑÐ¾Ð¼ ÑÐµÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ñ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ¸Ñ ÑÐ²Ð¾Ð´Ð¸ÑÑÑ Ðº Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð²ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² â ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ Ð¼ÐµÐ¶Ð´Ñ ÑÐµÐºÐ¾Ð½ÑÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð³ÑÐ°Ð½Ð¸ÑÐµÐ¹ Ð¿Ð»Ð°Ð·Ð¼Ñ Ð¸ ÑÐ¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÐºÐ¾Ð´Ð¾Ð¼ PET, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ°Ð·Ð½Ð¾ÑÑÐ¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð´Ð¸Ð°Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð¿ÐµÑÐ»Ð¸, ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð´Ð¾Ð¼ Ð¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð½Ð¾Ð³Ð¾ Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐµ. Ð ÐµÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ¸Ñ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ Ð·Ð°Ð¿Ð°ÑÐµÐ½Ð½ÑÑ Ð² Ð¿Ð»Ð°Ð·Ð¼Ðµ ÑÐ½ÐµÑÐ³Ð¸Ñ Wp, Ð²Ð½ÑÑÑÐµÐ½Ð½ÑÑ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ li Ð¸ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¿Ð»Ð°Ð·Ð¼Ñ. ÐÑÐ»Ð¾ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð´Ð»Ñ Ð¾ÑÐµÐ½ÐºÐ¸ li Ð¸Wp Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð½ÑÐµ ÑÐ¾ÑÐ¼ÑÐ»Ñ, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÐµ Ð½Ð° Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð´Ð¸Ð°Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð¿ÐµÑÐ»Ð¸ Ð¸ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¸ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² ÑÐ¾ ÑÑÐ¾ÑÐ¾Ð½Ñ ÑÐ¸Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ, ÑÑÐ¾ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð»Ð¾ Ð¿ÑÐ¾Ð²ÐµÑÑÐ¸ Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»Ð¾Ð¸Ð´Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾ÐºÐ° Ð¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ Ð·Ð°Ð¿Ð°ÑÐµÐ½Ð½ÑÑ Ð² ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð°Ñ ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ ÑÐ½ÐµÑÐ³Ð¸Ñ. ÐÐ¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ ÑÐµÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ¸Ñ Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ñ Ð¿Ð¾ Ð½Ð°Ð³ÑÐµÐ²Ñ Ð¿Ð»Ð°Ð·Ð¼Ñ Ð¸Ð½Ð¶ÐµÐºÑÐ¾ÑÐ°Ð¼Ð¸ Ð½ÐµÐ¹ÑÑÐ°Ð»ÑÐ½ÑÑ ÑÐ°ÑÑÐ¸Ñ Ð½Ð° ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ ÐÐ»Ð¾Ð±ÑÑ-Ð2 Ñ ÑÐ¾ÑÐ¾Ð¸Ð´Ð°Ð»ÑÐ½ÑÐ¼ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¼ Ð¿Ð¾Ð»ÐµÐ¼ Ð´Ð¾ 0.9 Ð¢Ð» Ð¸ ÑÐ¾ÐºÐ¾Ð¼ Ð¿Ð»Ð°Ð·Ð¼Ñ 0.3-0.4 ÐÐ Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð° Ð¿Ð¾Ð»Ð½Ð°Ñ Ð·Ð°Ð¿Ð°ÑÐµÐ½Ð½Ð°Ñ ÑÐµÐ¿Ð»Ð¾Ð²Ð°Ñ ÑÐ½ÐµÑÐ³Ð¸Ñ Ð² ÑÐ¸ÑÐ¾ÐºÐ¾Ð¼ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ðµ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¹ â¨neâ©v = 2 Ã· 1, 2 Â· 10^19 Ð¼^â3.
description: This work is devoted to the determination of the plasma stored energy and the internal inductance in experiments on the Globus-M2 spherical tokamak using diamagnetic and kinetic measurements. An algorithm with the equilibrium PET code was developed, in which the equilibrium reconstruction is reduced to minimizing two parameters: the distance between the reconstructed plasma boundary and the modeled by the PET code and the difference between the signal of the diamagnetic loop calculated by the code and measured in the experiment. The reconstruction of the magnetic equilibrium made it possible to determine the energy Wp stored in the plasma, the internal inductance li, and the geometrical parameters of the plasma. It was shown that to estimate li andWp it is possible to use approximate formulas based on the calculation of the diamagnetic loop signal and the vertical magnetic field. In the course of the work, a new spatial point for diagnosing Thomson scattering from the side of a strong field was put into operation. The temperature and electron density were measured from the side of a strong magnetic field, which made it possible to verify the calculated spatial distribution of the poloidal magnetic flux and determine the thermal energy stored in electrons. By reconstructing the equilibrium in experiments on plasma heating by neutral particle injectors at the Globus-M2 tokamak with a toroidal magnetic field up to 0.9 T and a plasma current up to 0.4 MA, the total stored thermal energy was analyzed in a wide range of concentrations â¨neâ©v = 2 Ã· 1, 2 Â· 10^19 Ð¼^â3.