title: ÐÐ¾ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ðµ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐ° Ð¤Ð¢-2 Ð² ÑÐ°Ð·ÑÑÐ´Ð°Ñ Ñ Ð²ÑÑÐ¾ÐºÐ¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑÑ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Reconstruction of the magnetic structure of the FT-2 tokamak in high-density discharges
Creators: name: ÐÐ¾ÑÐ¾Ð±ÐµÐ¹Ð½Ð¸ÐºÐ¾Ð², ÐÐ»Ð°Ð´Ð¸ÑÐ»Ð°Ð²
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: ÑÐ¾ÐºÐ°Ð¼Ð°Ðº
Ð¤Ð¢-2
ASTRA
ÑÐµÑÑÐ°ÐºÑÐ¸Ñ
Ð²Ð¾ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ðµ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸
ÐÐ§-Ð½Ð°Ð³ÑÐµÐ²
Ð¸Ð½ÑÐµÑÑÐµÑÐ¾Ð¼ÐµÑÑ
Ð¢Ð¾Ð¼ÑÐ¾Ð½Ð¾Ð²ÑÐºÐ°Ñ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ°
tokamak
FT-2
refraction
megnetic configuration reconstruction
RF heating
interferometer
Thomson diagnostics

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¼ÐµÑÐ¾Ð´Ð° Ð²Ð¾ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ Ð² ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ Ð¤Ð¢-2 Ð² ÑÐ°Ð·ÑÑÐ´Ð°Ñ Ñ Ð²ÑÑÐ¾ÐºÐ¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑÑ. ÐÐ»Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐµÐ»Ð¸ Ð±ÑÐ» Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ½ÑÐ¹ ÐºÐ¾Ð´ ASTRA, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½ÑÐµ ÐºÐ¾Ð´Ñ, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð±ÑÐ»Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ, Ð¾ÑÐ»Ð°Ð¶ÐµÐ½Ñ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ Ðº ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð¼ Ð½Ð° ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ Ð¤Ð¢-2. ÐÑÐ» ÑÐ¾Ð·Ð´Ð°Ð½ Ð¸ÑÐµÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼, Ð² ÐºÐ¾ÑÐ¾ÑÐ¾Ð¼ Ð´Ð»Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ñ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐ° Ð¤Ð¢-2 (ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð°Ñ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑ, ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ° Ð¸ Ð´Ð°Ð½Ð½ÑÐµ Ð¸Ð½ÑÐµÑÑÐµÑÐ¾Ð¼ÐµÑÑÐ°) Ð¿Ð¾Ð´Ð±Ð¸ÑÐ°ÑÑÑÑ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐ¸Ðµ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐµ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÑÐµÐ¼ Ð·Ð°Ð´Ð°Ð½Ð¸Ñ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð²ÑÑÑÐ½ÑÑÐ¾ÑÑÐ¸, ÑÑÐµÑÐ³Ð¾Ð»ÑÐ½Ð¾ÑÑÐ¸, ÑÐ´Ð²Ð¸Ð³Ð° ÑÐ½ÑÑÐ° Ð¸ ÑÐ°Ð´Ð¸ÑÑÐ° Ð¿Ð¾ÑÐ»ÐµÐ´Ð½ÐµÐ¹ Ð·Ð°Ð¼ÐºÐ½ÑÑÐ¾Ð¹ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸, Ð½Ð°Ð·ÑÐ²Ð°ÐµÐ¼ÑÐµ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ð¼Ð¸ ÑÑÐ¸Ñ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐµÐ¹. ÐÐ½Ð¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÑÑ Ð¿ÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð² ÐºÐ¾Ð´Ðµ ASTRA, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð´Ð°ÑÑ Ð½Ð° Ð²ÑÑÐ¾Ð´Ðµ Ð¿Ð¾ÑÑÐ¸ÑÐ°Ð½Ð½ÑÐµ Ð¿ÑÐ¾ÑÐ¸Ð»Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ð¸ Ñ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸ÐµÐ¹, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð½ÑÐ¶Ð½Ð¾ ÑÑÐ°Ð²Ð½Ð¸ÑÑ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸. ÐÐ°ÑÐµÐ¼ Ð¿ÑÐ¸ Ð¿Ð¾Ð¼Ð¾ÑÐ¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÑÐµÑÐ° ÑÐµÑÑÐ°ÐºÑÐ¸Ð¸ ÑÑÐ¸ÑÐ°ÑÑÑÑ Ð´Ð°Ð½Ð½ÑÐµ Ð¸Ð½ÑÐµÑÑÐµÑÐ¾Ð¼ÐµÑÑÐ° Ð¸ Ð´Ð°Ð»ÐµÐµ ÑÑÐ°Ð²Ð½Ð¸Ð²Ð°ÑÑÑÑ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸. ÐÑÐ¾Ð´Ð¾Ð»Ð¶Ð°ÐµÐ¼ Ð²ÑÐ¿Ð¾Ð»Ð½ÑÑÑ Ð¸ÑÐµÑÐ°ÑÐ¸Ð¸ Ð¿Ð¾ Ð¿Ð¾Ð´Ð±Ð¾ÑÑ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð´Ð¾ ÑÐµÑ Ð¿Ð¾Ñ, Ð¿Ð¾ÐºÐ° Ð´Ð°Ð½Ð½ÑÐµ Ð¸Ð½ÑÐµÑÑÐµÑÐ¾Ð¼ÐµÑÑÐ°, Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ¸Ð»ÐµÐ¹ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð½Ðµ Ð±ÑÐ´ÑÑ Ð»ÐµÐ¶Ð°ÑÑ Ð² Ð¿ÑÐµÐ´ÐµÐ»Ð°Ñ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. ÐÐµÑÐ¾Ð´ Ð±ÑÐ» ÑÑÐ¿ÐµÑÐ½Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½ Ðº ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð¼ Ñ Ð²ÑÑÐ¾ÐºÐ¾Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑÑ, Ð±ÑÐ»Ð¸ Ð²Ð¾ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐµ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸, ÑÐµÐ·ÑÐ»ÑÑÐ°Ñ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÐµÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼ Ð´Ð°Ð½Ð½ÑÐ¼ Ð¸Ð½ÑÐµÑÑÐµÑÐ¾Ð¼ÐµÑÑÐ° Ð¸ Ð¢Ð¾Ð¼ÑÐ¾Ð½Ð¾Ð²ÑÐºÐ¾Ð¹ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ¸. ÐÐ±Ð»Ð°ÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÐÐÐ  â ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð°Ñ ÑÐ¸Ð·Ð¸ÐºÐ° Ð¿Ð»Ð°Ð·Ð¼Ñ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐ¾Ð².
description: This work is devoted to the development and application of a method for restoring the magnetic configuration in the FT-2 tokamak in high-density discharges. For this purpose, the ASTRA transport code was used, as well as special codes that were developed, debugged and applied to experiments on the FT-2 tokamak. An iterative algorithm was created in which the corresponding magnetic surfaces are selected for the experimental data from the FT-2 tokamak (electron density, temperature, and interferometer data) by setting the values of elongation, triangularity, plasma pinch shift, and the radius of the last closed magnetic surface, called the geometric parameters of these surfaces. They are used in simulations in the ASTRA code, which gives the calculated electron density and temperature profiles in accordance with the equilibrium configuration, which must be compared with experimental data. Then, using the refraction accounting algorithm, the interferometer data are calculated and then compared with the experimental ones. We continue to iterate on the selection of geometric parameters until the interferometer data, the values of the electron density and temperature profiles lie within the error of the experimental data. The method has been successfully applied to high-density experiments, the magnetic configurations have been restored, the result is consistent with the experimental data of the interferometer and Thomson diagnostics. The area of application of the results of the graduate qualification work is the experimental physics of tokamak plasma.