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📝 Enhance documentation for resistive plasma heating and clarify refe…
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…rences to ITER Physics Design Guidelines
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chris-ashe committed Jan 6, 2025
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# Resistive Plasma Heating
# Resistive Plasma Heating

The ohmic component of the plasma heating is given by that from the ITER 1989 Physics Design Guidelines[^1]

Using the resistive loop voltage for a reference profile of parabolic shape with:

$$
\alpha_n \approx 0.5, \alpha_T \approx 1.0, \alpha_J \approx 1.5
$$


$$
U \ [\text{V}] \approx 2.15 \times 10^{-3} Z_{\text{eff}}\langle \gamma_{\text{NC}} \rangle \frac{I_{\text{ind}}R_0}{\kappa a^2} \frac{1}{T_{10}^{1.5}}
$$

The neoclassical (avergae) resisitivity enhancement factor $\left(\langle \gamma_{\text{NC}} \rangle \right)$ is given by an empirical fit:

$$
\langle \gamma_{\text{NC}} \rangle = 4.3 -0.6A
$$

where $A$ is valid in the range of 2.5 - 4.0.


[^1]: N.A. Uckan and ITER Physics Group, 'ITER Physics Design Guidelines: 1989',
6 changes: 3 additions & 3 deletions process/physics.py
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Expand Up @@ -2937,7 +2937,7 @@ def plasma_ohmic_heating(
# Density weighted electron temperature in 10 keV units
t10 = ten / 10.0

# Plasma resistance, from loop voltage calculation in IPDG89
# Plasma resistance, from loop voltage calculation in ITER Physics Design Guidelines: 1989
res_plasma = (
physics_variables.plasma_res_factor
* 2.15e-9
Expand All @@ -2947,8 +2947,8 @@ def plasma_ohmic_heating(
)

# Neo-classical resistivity enhancement factor
# Taken from N. A. Uckan et al, Fusion Technology 13 (1988) p.411.
# The expression is valid for aspect ratios in the range 2.5--4.
# Taken from ITER Physics Design Guidelines: 1989
# The expression is valid for aspect ratios in the range 2.5 to 4.0
rpfac = 4.3 - 0.6 * rmajor / rminor
res_plasma = res_plasma * rpfac

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