The hybrid magnet system has been completed the commissioning and be ready to serve users at the High Magnetic Field Laboratory of the Chinese Academy of Sciences (CHMFL) in Hefei, China. The hybrid magnet consists of a 28 MW, 34 T resistive insert coils set nested inside of a 800 mm bore 11 T superconducting outsert magnet. The outsert coils are wound with high J_C Nb₃Sn/Cu cable-in-conduit conductor (CICC), cooled with forced flow of supercritical helium at 4.5 K. The protection system of superconducting magnet is based on the classical approach of voltage detection with a co-wound coil. In this paper, we reviewed experimental behavior of the superconducting outsert in detail when the resistive insert magnet tripped. We also conducted a thermal-hydraulic performance analysis of the superconducting outsert for the same trip situation of the resistive insert with modified GANDALF code. The numerical simulation results of maximum inlet and outlet temperature show good agreement with the experimental data. In addition, the minimum temperature margin and maximum helium pressure in the superconducting conductor were introduced and discussed.