Based on the aero-engine resemble theory and the nonlinear system equilibrium manifold theory

a corrected equilibrium manifold modeling method for aero-engine's simulation in whole flight envelop was put forward.First

according to the corrected variables

by extending the concept of equilibrium manifold

corrected equilibrium manifold was presented.Then

a two-dimension schedule variable was defined though compressor rotor's corrected speed and Mach number

and was used to fit the corrected equilibrium manifold.Next

following the modeling frame of nonlinear system equilibrium manifold theory

a whole flight envelop corrected equilibrium manifold model for a turbofan engine was presented.Last

some simulation about this turbofan engine's dynamic response at different situations were shown

and were accordant with the corresponding result of this turbofan engine's component nonlinear model.In all

this model in this paper exhibites well about applicability

precision and real-time simulation for a turbofan engine.