title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð° Ð½Ð° ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ðµ ÐºÑÐ°ÐµÐ²ÑÑ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐµÐ¹ Ð² ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ Â«ÐÐ»Ð¾Ð±ÑÑ-Ð2Â»
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: Impact of the effective charge on edge localized modes at the Globus-M2 tokamak
Creators: name: ÐÐµÑÑÐµÐ½ÐºÐ¾, ÐÐ°ÑÐ²Ð°ÑÐ°
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: 2024
Subjects: Ð²ÑÑÐ¾ÐºÐ¾ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð°Ñ Ð¿Ð»Ð°Ð·Ð¼Ð°
ÑÐ¾ÐºÐ°Ð¼Ð°Ðº
ÐÐ»Ð¾Ð±ÑÑ-Ð2
ÐºÑÐ°ÐµÐ²ÑÐµ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸
ELM
Ð¿Ð¸Ð»Ð¸Ð½Ð³-Ð±Ð°Ð»Ð»Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð±ÑÑÑÑÑÐµÐ¿ ÑÐ¾Ðº
ÑÐ¸ÑÐ»Ð¾ ÐÑÐ½Ð´ÐºÐ²Ð¸ÑÑÐ°
BOUT++
high temperature plasmas
tokamak
Globus-M2
peeling-ballooning mode
bootstrap current
Lundquist number

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð¸ÑÑÑÑÐµÐ³Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð° Ð½Ð° ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ðµ ÐºÑÐ°ÐµÐ²ÑÑ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐµÐ¹ Ð² ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ ÐÐ»Ð¾Ð±ÑÑ-Ð2. ÐÐ° ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐµ ÐÐ»Ð¾Ð±ÑÑ-Ð2 Ð½Ð°Ð±Ð»ÑÐ´Ð°Ð»ÑÑ Ð¿ÐµÑÐµÑÐ¾Ð´ Ð´ÐµÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÑ Ñ Ð¿Ð¸Ð»Ð¾Ð¾Ð±ÑÐ°Ð·Ð½ÑÐ¼Ð¸ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸ÑÐ¼Ð¸ ÑÑÑÐ²Ð¾Ð² ÐºÑÐ°ÐµÐ²ÑÑ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐµÐ¹ Ð² ÑÐ¸Ð½ÑÑÐ¾Ð½Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½ÑÐµ ÑÑÑÐ²Ñ, Ð¿ÑÐ¸ ÑÑÐ¾Ð¼ Ð¿ÑÐ¾ÑÐ¸Ð»Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð¾Ð¹ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¸ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð² ÐºÑÐ°ÐµÐ²Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð½Ðµ Ð¸Ð·Ð¼ÐµÐ½Ð¸Ð»Ð¸ÑÑ. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¾Ð²ÐµÑÑÐµÑÑÑ Ð³Ð¸Ð¿Ð¾ÑÐµÐ·Ð°, ÑÐ¾Ð³Ð»Ð°ÑÐ½Ð¾ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¿Ð¸Ð»Ð¸Ð½Ð³-Ð±Ð°Ð»Ð»Ð¾Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´Ñ ÑÐ²ÑÐ·Ð°Ð½Ð° Ñ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸ÐµÐ¼ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð±ÑÑÑÑÑÐµÐ¿ ÑÐ¾ÐºÐ° Ð¿ÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð°. Ð¢Ð°ÐºÐ¶Ðµ Ð±ÑÐ»Ð¾ Ð¿ÑÐ¾Ð²ÐµÑÐµÐ½Ð¾ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð¸ÑÑÑÑÐµÐµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ñ ÑÐ¸ÑÐ»Ð° ÐÑÐ½Ð´ÐºÐ²Ð¸ÑÑÐ° Ð¿ÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð° (Zeff) Ð½Ð° ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ðµ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸. Ð Ð°ÑÑÐµÑ Ð¸Ð½ÐºÑÐµÐ¼ÐµÐ½ÑÐ° ÐÐ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð±ÑÐ» Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾Ð´Ð° BOUT++. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð´Ð¸Ð°Ð³ÑÐ°Ð¼Ð¼Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¸, ÑÑÐ¾ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð±ÑÑÑÑÑÐµÐ¿ ÑÐ¾ÐºÐ°, Ð²ÑÐ»ÐµÐ´ÑÑÐ²Ð¸Ðµ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð°, Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐ¾ÑÐ½Ð¾ Ð´Ð»Ñ ÑÐ¾Ð³Ð¾, ÑÑÐ¾Ð±Ñ Ð¿Ð¾Ð²Ð»Ð¸ÑÑÑ Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸. Ð Ð°ÑÑÑÐ¸ÑÐ°Ð½Ð½ÑÐ¹ Ð¸Ð½ÐºÑÐµÐ¼ÐµÐ½Ñ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð´Ð»Ñ ÑÐ»ÑÑÐ°ÐµÐ² ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð° Zeff = 1.1, Zeff = 2.3 Ð¸ Zeff = 3.5 ÑÐ°Ð·Ð»Ð¸ÑÐ°ÐµÑÑÑ Ð½Ðµ Ð±Ð¾Ð»ÐµÐµ ÑÐµÐ¼ Ð½Ð° 5%. Ð Ð°ÑÑÐµÑ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð», ÑÑÐ¾ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ðµ ÑÐ¸ÑÐ»Ð° ÐÑÐ½Ð´ÐºÐ²Ð¸ÑÑÐ° Ð¿ÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð°, Ð¼Ð¾Ð¶ÐµÑ Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑ ÑÑÐ°Ð±Ð¸Ð»Ð¸Ð·Ð¸ÑÑÑÑÐµÐµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° Ð¿Ð¸Ð»Ð¸Ð½Ð³-Ð±Ð°Ð»Ð»Ð¾Ð½Ð½ÑÑ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ Ð½Ð° ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ ÐÐ»Ð¾Ð±ÑÑ-Ð2. ÐÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð·Ð°ÑÑÐ´Ð° Ð¾Ñ 1.7 Ð´Ð¾ 4.1 ÑÐ¸ÑÐ»Ð¾ ÐÑÐ½Ð´ÐºÐ²Ð¸ÑÑÐ° ÑÐ½Ð¸Ð¶Ð°ÐµÑÑÑ Ð¾Ñ 5â105 Ð´Ð¾ 2â105, ÑÑÐ¾ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ñ Ð¸Ð½ÐºÑÐµÐ¼ÐµÐ½ÑÐ° Ð² Ð´Ð²Ð° ÑÐ°Ð·Ð°.
description: The topic of the graduate qualification work is âImpact of the effective charge on edge localized modes at the Globus-M2 tokamakâ. The given work is devoted to research of the stabilizing impact of the effective charge increase on edge localized modes at the Globus-M2 tokamak. There are evidence of transition from desynchronized ELMs phase with the reconnections to synchronized phase ones is observed at the Globus-M2 tokamak when an impurity enters the plasma. At the same time, electron density and temperature profiles did not change in the edge plasma region. In the thesis the connection between the effective charge and the instability increment via bootstrap current was investigation. In addition, stabilizing effect of the Lundquist number reduction was studied. Peeling-ballooning mode simulations were carried out using BOUT++ code. The calculated increment for the Zeff = 1.1, Zeff = 2.3 and Zeff = 3.5 cases differs insignificantly (by less than 5%). Therefore, the change of bootstrap current caused by impurity is not sufficient to stabilize peeling-balooning mode. It was shown that effective charge impact on Lunquist number might stabilize the instability. With the effective charge increase from 1.7 to 4.1 Lunquist number drops from 5â105 to 2â105 what leads to the instability increment halving. It shows that peeling-baloooning instability can be stabilized by increase of the effective charge at the Globus-M2 tokamak.