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Tokamak Safety Factor q95 MHD Calculator engineering
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Tokamak Safety Factor q95 MHD Calculator

Magnetohydrodynamic (MHD) plasma stability: Calculate the magnetic safety factor at the 95% flux surface ($q_{95}$), elongation ($\kappa$), triangularity ($\delta$), and Troyon beta limits ($\beta_N$).

Tokamak Magnetic & Geometric Specs

ITER: 5.3 T; SPARC: 12.2 T
Toroidal plasma current in MegaAmps

Plasma Cross-Section Shaping

Vertical stretching (b / a)
D-shape inward curvature

MHD Stability & Limits Output

Safety Factor q_95:
--
at 95% poloidal flux
Kink Stability Status:
--
q_95 ≥ 3.0 target
Aspect Ratio A:
--
R₀ / a
Inverse ε:
--
a / R₀
Max Troyon β_N:
--
% beta limit

Shafranov Surface Quantities

Cylindrical Equivalent $q^*$: --
Shaping Enhancement Factor $f_{shape}$: --

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Frequently Asked Questions