H98: Difference between revisions

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:<math>\tau_{E,98y2} = 0.0562 \; I_p^{0.93} \; B_T^{0.15} \; \langle n_e \rangle^{0.41} \; P_{SOL}^{-0.69} \; R_{geo}^{1.97} \; \kappa_a^{0.78} \; \epsilon^{0.58} \; M^{0.19} </math>
:<math>\tau_{E,98y2} = 0.0562 \; I_p^{0.93} \; B_T^{0.15} \; \langle n_e \rangle^{0.41} \; P_{SOL}^{-0.69} \; R_{geo}^{1.97} \; \kappa_a^{0.78} \; \epsilon^{0.58} \; M^{0.19} </math>


:<math>\tau_E = \frac{W}{P-dW/dt}</math>
:<math>\tau_E = \frac{W}{P_{input}-dW/dt}</math>


and <math>I_p</math> is the plasma current, <math>B_T</math> is the toroidal magnetic field at <math>R_{geo}</math>, <math>\langle n_e \rangle</math> is the average density, <math>P_{SOL}</math> is the loss power across the [[Separatrix|LCFS]] into the [[Scrape-Off Layer|SOL]], <math>R_{geo}</math> is the geometric major radius (average of maximum and minimum <math>R</math> of the LCFS) of the plasma, <math>\kappa_a</math> is the elongation, defined unusually in this case as <math>\kappa_a=Area_{CX}/\pi\;a^2</math>, <math>\epsilon=a/R_{geo}</math> is the inverse aspect ratio, <math>M</math> is the ion mass, and <math>a</math> is the minor radius.
and <math>I_p</math> is the plasma current, <math>B_T</math> is the toroidal magnetic field at <math>R_{geo}</math>, <math>\langle n_e \rangle</math> is the average density, <math>P_{SOL}</math> is the loss power across the [[Separatrix|LCFS]] into the [[Scrape-Off Layer|SOL]], <math>R_{geo}</math> is the geometric major radius (average of maximum and minimum <math>R</math> of the LCFS) of the plasma, <math>\kappa_a</math> is the elongation, defined unusually in this case as <math>\kappa_a=Area_{CX}/\pi a^2</math>, <math>\epsilon=a/R_{geo}</math> is the inverse aspect ratio, <math>M</math> is the ion mass, <math>a</math> is the minor radius, <math>W</math> is stored energy, and <math>P_{input}</math> is the input heating power.


For a basic, predictable [[H-mode]] scenario, <math>H_{98}\approx1.0</math>. [[L-mode]] will have <math>H_{98}</math> significantly below 1, and some regimes such as [[super H-mode]] can have <math>H_{98}</math> significantly above 1.0.
For a basic, predictable [[H-mode]] scenario, <math>H_{98}\approx1.0</math>. [[L-mode]] will have <math>H_{98}</math> significantly below 1, and some regimes such as [[super H-mode]] can have <math>H_{98}</math> significantly above 1.0.

Latest revision as of 22:22, 13 October 2023

is a metric for plasma confinement quality. It is defined as the ratio of the energy confinement time to the confinement time predicted by the IPB98(y,2) scaling law.[1]

where

and is the plasma current, is the toroidal magnetic field at , is the average density, is the loss power across the LCFS into the SOL, is the geometric major radius (average of maximum and minimum of the LCFS) of the plasma, is the elongation, defined unusually in this case as , is the inverse aspect ratio, is the ion mass, is the minor radius, is stored energy, and is the input heating power.

For a basic, predictable H-mode scenario, . L-mode will have significantly below 1, and some regimes such as super H-mode can have significantly above 1.0.