Superconducting Quench Resistor Calculator
Magnet safety engineering: Calculate external dump resistor sizing, magnetic energy extraction time, peak discharge voltage, and hot-spot adiabatic temperature.
Magnet Circuit & Energy Parameters
Quench Dynamics & Hot-Spot Prediction
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Frequently Asked Questions
What is a quench and why is energy extraction critical?
A quench occurs when a local portion of a superconducting magnet transitions to normal (resistive) state due to mechanical motion, beam loss, or flux jumps. If the stored magnetic energy is dissipated entirely in this small initial normal zone, localized Joule heating will melt or vaporize the winding. An external dump resistor rapidly extracts the magnetic energy out of the cryostat.
What is the MIITs concept in quench protection?
MIITs stands for "Million Ampere-squared Seconds". It quantifies the adiabatic Joule heating delivered into the conductor during the quench duration. Because thermal diffusion into surrounding helium is negligible over rapid discharge timescales (<1-2 seconds), the MIITs integral directly dictates the maximum hot-spot temperature reached by the copper stabilizer.
What is the trade-off between peak voltage and hot-spot temperature?
This is the fundamental dilemma in quench protection engineering: A higher dump resistance R_dump shortens the decay time constant tau = L / R_dump, which reduces MIITs and keeps the hot-spot cold. However, it proportionally escalates the peak discharge voltage V_peak = I_0 * R_dump. If V_peak exceeds the dielectric breakdown voltage of the Kapton/epoxy ground insulation (typically 1-3 kV), disastrous electrical arcing will destroy the magnet.