Triangularity: Difference between revisions
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[[File:Geometry.png|400px|thumb|right|Sketch of tokamak geometry, including separatrix]] | [[File:Geometry.png|400px|thumb|right|Sketch of tokamak geometry, including separatrix]] | ||
The triangularity refers to the shape of the poloidal cross section of the Last Closed [[Flux surface]] (LCFS) or [[separatrix]] of a [[tokamak]]. | The triangularity refers to the shape of the poloidal cross section of the Last Closed [[Flux surface]] (LCFS) or [[separatrix]] of a [[tokamak]]. | ||
Assuming: | Assuming<ref>T.C. Luce, [[doi:10.1088/0741-3335/55/9/095009|Plasma Phys. Control. Fusion '''55''' (2013) 095009 ]]</ref>: | ||
* ''R<sub> | * ''R<sub>max</sub>'' is the maximum value of ''R'' along the LCFS or separatrix. | ||
* ''a'' is the minor radius of the plasma, defined | * ''R<sub>min</sub>'' is the minimum value of ''R'' along the LCFS or separatrix. | ||
* ''R<sub>geo</sub>'' is the geometric major radius, defined as ''(R<sub>max</sub> + R<sub>min</sub>)/2''. | |||
* ''a'' is the minor radius of the plasma, defined ''(R<sub>max</sub> - R<sub>min</sub>)/2''. | |||
* ''R<sub>upper</sub>'' is the major radius of the highest vertical point of the LCFS. | * ''R<sub>upper</sub>'' is the major radius of the highest vertical point of the LCFS. | ||
* ''R<sub>lower</sub>'' is the major radius of the lowest vertical point of the LCFS. | * ''R<sub>lower</sub>'' is the major radius of the lowest vertical point of the LCFS. | ||
| Line 16: | Line 18: | ||
* [[Toroidal coordinates]] | * [[Toroidal coordinates]] | ||
* [[Effective plasma radius]] | * [[Effective plasma radius]] | ||
== References == | |||
<references /> | |||
Revision as of 14:11, 17 June 2014
The triangularity refers to the shape of the poloidal cross section of the Last Closed Flux surface (LCFS) or separatrix of a tokamak. Assuming[1]:
- Rmax is the maximum value of R along the LCFS or separatrix.
- Rmin is the minimum value of R along the LCFS or separatrix.
- Rgeo is the geometric major radius, defined as (Rmax + Rmin)/2.
- a is the minor radius of the plasma, defined (Rmax - Rmin)/2.
- Rupper is the major radius of the highest vertical point of the LCFS.
- Rlower is the major radius of the lowest vertical point of the LCFS.
The upper triangularity is then defined as follows:
and similar for δlower. The overall triangularity is defined as the mean of δupper and δlower.
See also
References
- ↑ T.C. Luce, Plasma Phys. Control. Fusion 55 (2013) 095009