Stability limits for the ideal internal kink mode are calculated analytically for the Shafranov current profile using the large aspect ratio expansion. For equilibria with q(a) > 2 and circular cross-section, the maximum stable poloidal beta is below 0.1. In the absence of a conducting wall, an equilibrium with q(a) < 2 is unstable at arbitrarily small positive poloidal-beta or shear inside the q = 1 surface. The effects of non-circularity are discussed and quantitative results are given for elliptic cross-sections.
机构:
School of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, China
Shaanxi Applied Physics and Chemistry Research Institute, Xi'an,710061, ChinaSchool of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, China
Li, Zhenzhen
Yang, Yongliang
论文数: 0引用数: 0
h-index: 0
机构:
School of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, ChinaSchool of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, China
Yang, Yongliang
Wang, Yajun
论文数: 0引用数: 0
h-index: 0
机构:
Xi'an Modern Control Technology Research Institute, Xi'an,710065, ChinaSchool of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, China
Wang, Yajun
Yang, Baoliang
论文数: 0引用数: 0
h-index: 0
机构:
Xi'an Modern Control Technology Research Institute, Xi'an,710065, ChinaSchool of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, China
Yang, Baoliang
Hou, Yunhui
论文数: 0引用数: 0
h-index: 0
机构:
Xi'an Modern Control Technology Research Institute, Xi'an,710065, ChinaSchool of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, China
Hou, Yunhui
Guo, Rui
论文数: 0引用数: 0
h-index: 0
机构:
School of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, ChinaSchool of Mechanical Engineering, Nanjing University of Seienee and Technology, Nanjing,210094, China
Guo, Rui
Zhendong yu Chongji/Journal of Vibration and Shock,
2025,
44
(04):
: 184
-
197
机构:
Sobolev Institute of Mathematics, Siberian Division, Russian Academy of SciencesSobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences