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针对气动发动机的工作过程,利用能量方程、气体状态方程、连续性方程及运动过程方程建立气动发动机的非线性微分方程组.选取合适的基准量,对所建立的微分方程组进行无因次化,得到无因次化的数学模型.利用MATLAB/Simulink仿真工具,对无因次数学模型进行研究,得到各无因次量对气动发动机输出扭矩的影响.从仿真结果可以看出,气动发动机的无因次转速、进气门面积比例因子、排气门面积比例因子以及进气持续角度对气动发动机的无因次输出扭矩影响较大.当发动机转速升高扭矩急剧下降时,可以通过调整进气门面积比例因子、排气门面积比例因子以及进气持续角度使输出扭矩恒定.
Aiming at the working process of pneumatic engine, a nonlinear differential equation system of aeroengine is established by using energy equation, gas state equation, continuity equation and kinematic process equation.A suitable datum is selected and the differential equations are established without any dimension , Get the dimensionless mathematical model.Using MATLAB / Simulink simulation tool, the dimensionless mathematical model is studied, and the influence of dimensionless quantity on the output torque of aeroengine is obtained.From the simulation results, it can be seen that the aerodynamic engine Non-dimensional speed, intake valve area ratio factor, exhaust valve area ratio factor and intake angle continue to influence the dimensionless output torque of the aero-engine greatly.When the engine speed increases rapidly, the torque can be reduced by adjusting The valve area ratio factor, exhaust valve area ratio factor, and intake air hold angle keep the output torque constant.