Ellipticity: Difference between revisions

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Mention the effects of increasing elongation
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Higher elongation is beneficial for fusion performance, but comes with increased vertical instability growth rate and thus increased risk of vertical displacement event (VDE) type disruptions.<ref>D.A. Humphreys, et al., ''Experimental vertical stability studies for ITER performance and design guidance'' [[doi:10.1088/0029-5515/49/11/115003|Nucl. Fusion '''49''' (2009) 115003]]</ref>
Higher elongation is beneficial for fusion performance, but comes with increased vertical instability growth rate and thus increased risk of vertical displacement event (VDE) type disruptions.<ref>D.A. Humphreys, et al., ''Experimental vertical stability studies for ITER performance and design guidance'' [[doi:10.1088/0029-5515/49/11/115003|Nucl. Fusion '''49''' (2009) 115003]]</ref>
Because of vertical stability constraints, <math>\kappa</math> is usually limited to a value close to about 1.8.


== See also ==
== See also ==

Revision as of 19:42, 27 March 2023

Sketch of tokamak geometry

The ellipticity (also referred to as elongation[1]) refers to the shape of the poloidal cross section of the Last Closed Flux surface 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.
  • Zmax is the maximum value of Z along the LCFS or separatrix.
  • Zmin is the minimum value of Z along the LCFS or separatrix.
  • a is the minor radius of the plasma, defined as (Rmax - Rmin)/2.

The ellipticity is then defined as follows:

κ=(Zmax−Zmin)/2a

Higher elongation is beneficial for fusion performance, but comes with increased vertical instability growth rate and thus increased risk of vertical displacement event (VDE) type disruptions.[2] Because of vertical stability constraints, κ is usually limited to a value close to about 1.8.

See also

References

  1. ↑ 1.0 1.1 T.C. Luce, Plasma Phys. Control. Fusion 55 (2013) 095009
  2. ↑ D.A. Humphreys, et al., Experimental vertical stability studies for ITER performance and design guidance Nucl. Fusion 49 (2009) 115003