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中性束加热将应用于先进实验超导托卡马克装置中, 在改善等离子性能的同时也会激发起多种阿尔文不稳定性. 本文主要采用了数值模拟的方法在理论上研究了中性束注入时在台基区激发的离散阿尔文本征模(TAE) 和环效应阿尔文本征模(TAE), 结果表明在这个区域会激发出丰富的离散阿尔文不稳定性, 这种离散阿尔文不稳定性不同于传统的TAE, 这种模式是俘获在气球模驱动势阱中的束缚态, 由于气球模势阱的存在使它和连续谱解耦, 从势阱中漏出去的能量可以忽略不计, 和TAE类似都很容易被激发, 这种模式可以存在于gap内, 也可以存在于gap外, 频谱更宽泛. 注入功率越大这种不稳定性增长率越大. 这种不稳定性可能会影响等离子体的物理行为, 从而影响等离子体的约束.The neutral beam injection (NBI) system is applied to the experimental advanced superconducting tokamak (EAST). It will excite some Alfvn instabilities when the plasma characteristics are improved. The numerical research on the NBI-induced discrete Alfvn eigenmode (TAE) and toroidal effect-induced Alfvn eigenmode (TAE) in the pedestal region is presented in the paper. The research results show that plenty of TAEs appear in this region. The TAE is very different from the TAE. These modes are trapped by the -induced potential wells along the magnetic field line. Due to negligible continuum damping via wave energy tunneling, similar to TAE, the TAE can also be readily destabilized by energetic particles. Differently, TAE frequency spectrum is more broad than TAE, and they are existed not only inside the gap but also outside the gap. The growth rate increases with injected power increasing. This instability maybe affects the physical behavior of the tokamak and the confinement of the plasma.
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Keywords:
- NBI /
- Alfvn wave /
- energetic particles
[1] Hu C D, Xie Y L, Ouyang Z R 2008 Plasma Science and Technology 10 117
[2] Wang J F, Wu B, Hu C D 2010 Plasma Science and Technology 12 289
[3] Hu C D, NBI Team 2012 Plasma Science and Technology 14 567
[4] Wang S J, Qiu L J 1996 Acta Phys. Sin. 45 1492 (in Chinese) [王少杰, 邱励俭 1996 45 1492]
[5] Wang J G, Li Y Y, Li J G 1995 Acta Phys. Sin. 44 92 (in Chinese) [王建国, 李有宜, 李建刚 1995 44 92]
[6] Cheng C Z, Chen L, Chance M S 1985 Ann. Phys. 161 21
[7] Fu G Y, Cheng C Z 1990 Phys. Fluids B 2 985
[8] Hasegawa A 1991 J. Geophys. Res. 96 1503
[9] Chen L 1994 Phys. Plasmas 1 1519
[10] Hu S, Chen L 2004 Phys. Plasmas 11 1
[11] Hu S, Chen L 2005 Plasma Phys. Control. Fusion 47 1251
[12] Bierwage A, Chen L, Zonca F 2010 Plasma Phys. Control. Fusion 52 015004
[13] Bierwage A, Chen L, Zonca F 2010 Plasma Phys. Control. Fusion 52 015005
[14] Wang J, Hu S H, Dai Q P, Yao L B 2010 Chin. Phys. B 19 095202
[15] Heidbrink W W 2008 Phys. Plasmas 15 055501
[16] Chen L, Zonca F 1995 Phys. Scr. T60 81
[17] Zonca F, Chen L 2000 Phys. Plasmas 7 4600
[18] Heidbrink W W, Gorelenkov N N, Murakami M 2002 Nucl. Fusion 42 972
[19] Fredrickson E, Chen L, White R 2003 Nucl. Fusion 43 1258
[20] Jian G D, Dong J Q 2005 Acta Phys. Sin. 54 1641 (in chinese) [简广德, 董家齐 2005 54 1641]
[21] Shi B R, Qu W X, Dong J Q 2006 Chin. Phys. Lett. 23 407
[22] Shi B R, Li J Q 2007 Chin. Phys. Lett. 24 490
[23] Luan Q B, Shi Y P, Wang X G 2012 Chin. Phys. Lett. 29 085201
[24] Ding S , Wan B, Zhang X, Budny R V, Guo Y, McCune D, Xu P, Yang J, Qian J, Shi Y, Wang F, Kaye S M 2011 Plasma Phys. Control. Fusion 53 015007
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[1] Hu C D, Xie Y L, Ouyang Z R 2008 Plasma Science and Technology 10 117
[2] Wang J F, Wu B, Hu C D 2010 Plasma Science and Technology 12 289
[3] Hu C D, NBI Team 2012 Plasma Science and Technology 14 567
[4] Wang S J, Qiu L J 1996 Acta Phys. Sin. 45 1492 (in Chinese) [王少杰, 邱励俭 1996 45 1492]
[5] Wang J G, Li Y Y, Li J G 1995 Acta Phys. Sin. 44 92 (in Chinese) [王建国, 李有宜, 李建刚 1995 44 92]
[6] Cheng C Z, Chen L, Chance M S 1985 Ann. Phys. 161 21
[7] Fu G Y, Cheng C Z 1990 Phys. Fluids B 2 985
[8] Hasegawa A 1991 J. Geophys. Res. 96 1503
[9] Chen L 1994 Phys. Plasmas 1 1519
[10] Hu S, Chen L 2004 Phys. Plasmas 11 1
[11] Hu S, Chen L 2005 Plasma Phys. Control. Fusion 47 1251
[12] Bierwage A, Chen L, Zonca F 2010 Plasma Phys. Control. Fusion 52 015004
[13] Bierwage A, Chen L, Zonca F 2010 Plasma Phys. Control. Fusion 52 015005
[14] Wang J, Hu S H, Dai Q P, Yao L B 2010 Chin. Phys. B 19 095202
[15] Heidbrink W W 2008 Phys. Plasmas 15 055501
[16] Chen L, Zonca F 1995 Phys. Scr. T60 81
[17] Zonca F, Chen L 2000 Phys. Plasmas 7 4600
[18] Heidbrink W W, Gorelenkov N N, Murakami M 2002 Nucl. Fusion 42 972
[19] Fredrickson E, Chen L, White R 2003 Nucl. Fusion 43 1258
[20] Jian G D, Dong J Q 2005 Acta Phys. Sin. 54 1641 (in chinese) [简广德, 董家齐 2005 54 1641]
[21] Shi B R, Qu W X, Dong J Q 2006 Chin. Phys. Lett. 23 407
[22] Shi B R, Li J Q 2007 Chin. Phys. Lett. 24 490
[23] Luan Q B, Shi Y P, Wang X G 2012 Chin. Phys. Lett. 29 085201
[24] Ding S , Wan B, Zhang X, Budny R V, Guo Y, McCune D, Xu P, Yang J, Qian J, Shi Y, Wang F, Kaye S M 2011 Plasma Phys. Control. Fusion 53 015007
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