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Effective plasma radius: Difference between revisions
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If the [[Flux surface|flux surfaces]] are known (typically, by calculating the [[MHD equilibrium|Magneto-Hydrodynamic equilibrium]]), and assuming the existence of toroidally nested flux surfaces, the simplest procedure is to define the mean radius as a function of some flux quantity (i.e., any quantity that is constant on a flux surface). | If the [[Flux surface|flux surfaces]] are known (typically, by calculating the [[MHD equilibrium|Magneto-Hydrodynamic equilibrium]]), and assuming the existence of toroidally nested flux surfaces, the simplest procedure is to define the mean radius as a function of some flux quantity (i.e., any quantity that is constant on a flux surface). | ||
E.g., at [[TJ-II]], magnetic equilibria can be obtained from the [[VMEC]] code (see [[TJ-II:Magnetic coordinates]]). It returns ''ψ'', the | E.g., at [[TJ-II]], magnetic equilibria can be obtained from the [[VMEC]] code (see [[TJ-II:Magnetic coordinates]]). It returns ''ψ'', the toroidal magnetic flux. The normalized effective radius is defined by | ||
:<math>\rho_{\rm eff} = \sqrt{\psi_N}</math> | :<math>\rho_{\rm eff} = \sqrt{\psi_N}</math> | ||
where ''ψ<sub>N</sub>'' is the normalized | where ''ψ<sub>N</sub>'' is the normalized toroidal flux, such that it is 0 on the magnetic axis and 1 at the Last Closed Flux Surface (LCFS). | ||
== Effective radius based on flux == | == Effective radius based on flux == | ||