H98 - Revision history

Eldond at 21:22, 13 October 2023

2023-10-13T21:22:14Z

← Older revision		Revision as of 23:22, 13 October 2023
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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.

Admin: /* ≥ 2020 */

2023-10-11T17:10:07Z

≥ 2020

← Older revision		Revision as of 19:10, 11 October 2023
Line 9:		Line 9:
	:<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\;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, 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.

Eldond at 21:36, 10 October 2023

2023-10-10T21:36:40Z

← Older revision		Revision as of 23:36, 10 October 2023
Line 9:		Line 9:
	:<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>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~~=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, 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.

Eldond: /* > 2020 */

2023-10-10T21:18:45Z

> 2020

New page

<math>H_{98}</math> 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]].<ref name=iter_ch2>[[doi:10.1088/0029-5515/39/12/302|ITER Physics Basis, Chapter 2, (equation 11 and table 5), Nuclear Fusion 39, 2175 (1999)]]</ref>

:<math>H_{98} = \frac{\tau_E}{\tau_{E,98y2}}</math>

where

:<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>

and <math>I_p</math> is the plasma current, <math>B_T</math> is the toroidal magnetic field at <math>R_{geo}</math>, <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=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.