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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}{ | :<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>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. | ||