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Tokamak Safety Factor (q95) & Kink Instability Calculator

Easily calculate and compute tokamak safety factor (q95) & kink instability calculator with accurate equations, live formulas, and expert guidance.

Toroidal center-to-axis radius (e.g. 6.2 m for ITER).

Plasma minor radius.

Toroidal magnetic field on-axis.

Toroidal plasma current.

Cross-section vertical elongation ratio.

D-shape triangularity parameter.

Calculated Result
3

Safety Factor (q95)

Safety Factor (q95)

3

Edge Safety Factor Q95

3

Plasma Inverse Aspect Ratio

0.32

Shape Shaping Multiplier

2.2

Kruskal Shafranov Limit Status

KINK-STABLE (q95 > 2.0 - Far above disruptive threshold)

3

Calculation Breakdown

  1. Applied FormulaEvaluates the magnetic safety factor q95 governing pitch-angle helicity of magnetic field lines and Kruskal-Shafranov external kink stability in elongated D-shaped tokamaks.q > 2 \quad (\text{External Kink Stability Boundary})

Tokamak Safety Factor q95 Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.81.52.33.0Safety Factor (q95)

What Is the Tokamak Safety Factor (q95) & Kink Instability Calculator?

This tool computes tokamak safety factor (q95) & kink instability calculator with high precision arithmetic.

How Does the Tokamak Safety Factor (q95) & Kink Instability Calculator Work?

Evaluates the magnetic safety factor q95 governing pitch-angle helicity of magnetic field lines and Kruskal-Shafranov external kink stability in elongated D-shaped tokamaks.

Tokamak Safety Factor (q95) & Kink Instability Calculator Formula & Variables

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

q>2(External Kink Stability Boundary)q > 2 \quad (\text{External Kink Stability Boundary})

Evaluates the magnetic safety factor q95 governing pitch-angle helicity of magnetic field lines and Kruskal-Shafranov external kink stability in elongated D-shaped tokamaks.

How to Use the Tokamak Safety Factor (q95) & Kink Instability Calculator

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

Step-by-Step Example Calculation

Tokamak Safety Factor (q95) & Kink Instability Calculator Example

Input Values:

majorRadiusMeters:6.2
minorRadiusMeters:2.0
toroidalFieldTesla:5.3
plasmaCurrentMegaAmps:15.0
plasmaElongationKappa:1.7
plasmaTriangularityDelta:0.33
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Safety Factor (q95).

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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