H98: Difference between revisions
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:<math>\tau_E = \frac{W}{P-dW/dt}</math> | :<math>\tau_E = \frac{W}{P-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 | 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. | ||
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. | ||
Revision as of 19:10, 11 October 2023
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle H_{98}} 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]
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle H_{98} = \frac{\tau_E}{\tau_{E,98y2}}}
where
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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} }
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tau_E = \frac{W}{P-dW/dt}}
and is the plasma current, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle B_T} is the toroidal magnetic field at Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_{geo}} , Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \langle n_e \rangle} is the average density, is the loss power across the LCFS into the SOL, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R_{geo}} is the geometric major radius (average of maximum and minimum Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R} of the LCFS) of the plasma, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \kappa_a} is the elongation, defined unusually in this case as Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \kappa_a=Area_{CX}/\pi a^2} , Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \epsilon=a/R_{geo}} is the inverse aspect ratio, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle M} is the ion mass, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} is the minor radius.
For a basic, predictable H-mode scenario, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle H_{98}\approx1.0} . L-mode will have Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle H_{98}} significantly below 1, and some regimes such as super H-mode can have significantly above 1.0.
