Quench protection studies of 11T 2-in-1 Nb$_{3}$Sn dipole models for LHC upgrades

CERN and FNAL are developing 11 T Nb$_{3}$Sn dipole magnets for the LHC collimation system upgrade. Due to the large stored energy, protection of these magnets during a quench is a challenging problem. This paper reports the results of experimental studies of key quench protection parameters including longitudinal and radial quench propagation in the coil, coil heating due to a quench, and energy extraction and quench-back effect. The studies were performed using a 1 m long 11 T Nb$_{3}$Sn dipole coil tested in a magnetic mirror configuration.