Radial penetration of flux surface shaping in tokamaks
Using analytic calculations, the effects of the edge flux surface shape and the toroidal current profile on the penetration of flux surface shaping are investigated in a tokamak. It is shown that the penetration of shaping is determined by the poloidal variation of the poloidal magnetic field on the...
| Main Authors: | , |
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| Format: | Journal article |
| Published: |
2014
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| _version_ | 1797090769791614976 |
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| author | Ball, J Parra, F |
| author_facet | Ball, J Parra, F |
| author_sort | Ball, J |
| collection | OXFORD |
| description | Using analytic calculations, the effects of the edge flux surface shape and the toroidal current profile on the penetration of flux surface shaping are investigated in a tokamak. It is shown that the penetration of shaping is determined by the poloidal variation of the poloidal magnetic field on the surface. This fact is used to investigate how different flux surface shapes penetrate from the edge. Then, a technique to separate the effects of magnetic pressure and tension in the Grad-Shafranov equation is presented and used to calculate radial profiles of strong elongation for nearly constant current profiles. Lastly, it is shown that more hollow toroidal current profiles are significantly better at conveying shaping from the edge to the core. |
| first_indexed | 2024-03-07T03:23:28Z |
| format | Journal article |
| id | oxford-uuid:b83b1628-4891-4b71-a615-8914b75eedd2 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:23:28Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | oxford-uuid:b83b1628-4891-4b71-a615-8914b75eedd22022-03-27T04:54:27ZRadial penetration of flux surface shaping in tokamaksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b83b1628-4891-4b71-a615-8914b75eedd2Symplectic Elements at Oxford2014Ball, JParra, FUsing analytic calculations, the effects of the edge flux surface shape and the toroidal current profile on the penetration of flux surface shaping are investigated in a tokamak. It is shown that the penetration of shaping is determined by the poloidal variation of the poloidal magnetic field on the surface. This fact is used to investigate how different flux surface shapes penetrate from the edge. Then, a technique to separate the effects of magnetic pressure and tension in the Grad-Shafranov equation is presented and used to calculate radial profiles of strong elongation for nearly constant current profiles. Lastly, it is shown that more hollow toroidal current profiles are significantly better at conveying shaping from the edge to the core. |
| spellingShingle | Ball, J Parra, F Radial penetration of flux surface shaping in tokamaks |
| title | Radial penetration of flux surface shaping in tokamaks |
| title_full | Radial penetration of flux surface shaping in tokamaks |
| title_fullStr | Radial penetration of flux surface shaping in tokamaks |
| title_full_unstemmed | Radial penetration of flux surface shaping in tokamaks |
| title_short | Radial penetration of flux surface shaping in tokamaks |
| title_sort | radial penetration of flux surface shaping in tokamaks |
| work_keys_str_mv | AT ballj radialpenetrationoffluxsurfaceshapingintokamaks AT parraf radialpenetrationoffluxsurfaceshapingintokamaks |