To simulate the transient-state performance and design the control schedule of variable cycle engines (VCEs), we develop the VCE transient-state direct simulation method based on the steady-state reverse method and the transient-state implicit simulation model. Models of the volume effect and the rotor dynamics are added to the steady-state reverse method, making it possible to directly calculate the control schedule of the variable geometry parameters and the fuel mass flow with the given accelerating rate, turbine inlet total temperature and the operating points of compressors. The method is validated in terms of feasibility and accuracy and is then used to design the control schedule and simulate the performance of a VCE mode-transition process. Results show that the deviations of the transition-state direct simulation method are within 0.58%. The mode-transition time from the single-bypass mode to the double-bypass mode under the supersonic cruise condition is around 1 s, while that from double-bypass to single-bypass in the sea level steady state is 3 s. During the mode-transition, the parameters such as thrust, rotational speeds, turbine inlet total temperature and surge margins vary smoothly. The direct simulation method can simplify the design process and improve the design accuracy of the VCE mode-transition control schedule.
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