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Tokamak Safety Factor q (Kruskal-Shafranov Edge Stability) Calculator

Easily calculate and compute tokamak safety factor q (kruskal-shafranov edge stability) calculator with accurate equations, live formulas, and expert guidance.

ITER nominal current = 15 MA.

ITER R₀ = 6.2 m.

ITER a = 2.0 m.

D-shaped elongated cross section (1.6 to 1.85).

Calculated Result
2.78 turns ratio

Safety Factor (q₉₅)

Safety Factor (q₉₅)

2.78 turns ratio

Edge Safety Factor Q95

2.78

Cylindrical Safety Factor Qcyl

2.32

Aspect Ratio R Over A

3.1

Kruskal Shafranov Stability

DANGEROUS REGIME: Risk of severe disruptive thermal quench (q95 < 3.0)

2.78 — turns ratio

Calculation Breakdown

  1. Applied FormulaCalculates the dimensionless magnetic safety factor q measuring the number of toroidal turns a field line makes per poloidal circuit to prevent MHD kink disruptions.q_{95} \approx \frac{5 a^2 B_T}{R_0 I_p} \left( \frac{1 + \kappa^2}{2} \right)

Tokamak Safety Factor q Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.71.42.12.8Safety Factor (q₉₅)

What Is the Tokamak Safety Factor q (Kruskal-Shafranov Edge Stability) Calculator?

This tool computes tokamak safety factor q (kruskal-shafranov edge stability) calculator with high precision arithmetic.

How Does the Tokamak Safety Factor q (Kruskal-Shafranov Edge Stability) Calculator Work?

Calculates the dimensionless magnetic safety factor q measuring the number of toroidal turns a field line makes per poloidal circuit to prevent MHD kink disruptions.

Tokamak Safety Factor q (Kruskal-Shafranov Edge Stability) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

q95≈5a2BTR0Ip(1+κ22)q_{95} \approx \frac{5 a^2 B_T}{R_0 I_p} \left( \frac{1 + \kappa^2}{2} \right)

Calculates the dimensionless magnetic safety factor q measuring the number of toroidal turns a field line makes per poloidal circuit to prevent MHD kink disruptions.

How to Use the Tokamak Safety Factor q (Kruskal-Shafranov Edge Stability) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Tokamak Safety Factor q (Kruskal-Shafranov Edge Stability) Calculator Example

Input Values:

toroidalMagneticFieldTesla:5.3
plasmaCurrentMegaAmperes:15
majorRadiusMeters:6.2
minorRadiusMeters:2
plasmaElongationKappa:1.75
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required turns ratio.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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