a model for predicting post-stall behavior of axial compressors

The current paper reports on a new theory developed by modifying the basic moore-greitzer model, which can predict the performance of a compression system during the instabilities in more details. the general assumptions such as the compression system layout, the lags in the entrance and exit ducts, the compressor axisymmetric characteristic and the small disturbances are similar to those of moore-gereitzer model. however, a second order hysteresis is used in the current work for the pressure rise of the rotor and stator rows. as a result, some new parameters are added to the governing equations, such as the stall cell acceleration ( d^2 r / dξ^2 ), second derivative of the mean axial flow coefficient (d^2 ф / dξ^2 ), second derivative of the disturbance amplitude ( d^2 a / dξ^2 ) and slope of the compressor characteristic curve. this gives the modified model new capabilities, like investigating the transient speed of the stall cell or the effect of the throttling rate on the instabilities, which are discussed in details in the current paper