In order to accurately describe the amplitude and frequency characteristics of compressor stall and surge during active stability control and health monitoring based on the compressor system model and the configuration of the stall cell

the stall behavior was analyzed by the modal wave theory from the perspective of dynamics. The surging phenomenon was analyzed by the strong nonlinear theory

based on the one-dimensional oscillation characteristics of surge. The theoretical description of the amplitude and frequency of the compressor instability was derived and given in the process of analysis. Simulation results show that

the amplitude and frequency of compressor stall and surge are the functions of the compressor characteristics

flow parameters and structural parameters. In the process of stall

the lower modes order means the easier occurrence and stabilization of amplitude. The higher modes order means the bigger rotation frequency of disturbance. In the process of surge

the smaller coefficient of compressor outlet throttling means the bigger value of the surge amplitude and oscillation frequency.