Simplified Analytical Formulas of Quench Dynamics

Quench of a superconducting magnet in MRI scanners may cause damage to the coil. Temporal evolution of current and maximum temperature developed in the coil determine safety of the scanner. Commonly, these parameters are computed using 3-D simulation programs. However, numerical models do not provide physical links between basic parameters of the magnet and quench dynamics. This paper presents analytical formulas that may serve as reasonable estimates, showing relationship between quench dynamics and parameters of a superconducting magnet.