论文部分内容阅读
针对航空发动机线性变参数模型,基于平衡流形原理,研究了一种改进LPV建模方法。首先,根据平衡流形原理,构造涡扇发动机平衡流形参数化形式。其次,根据某型涡扇发动机非线性模型,建立基于局部线性模型的涡扇发动机准LPV模型。然后,建立基于平衡流形的航空发动机改进准LPV模型,即:利用平衡流形参数化形式,根据调度变量实时估算发动机平衡态,以更新发动机准LPV模型的参考平衡态。最后,通过对发动机从慢车状态到最大状态的阶梯加速过程进行仿真,表明改进LVP模型的稳态和动态响应特性与发动机非线性模型保持很好地一致。
Aiming at aero-engine linear variable parameter model, based on balanced manifold theory, an improved LPV modeling method is studied. First, according to the principle of balanced manifold, the parametric form of the balanced manifold of turbofan engine is constructed. Secondly, based on a non-linear model of turbofan engine, a quasi-LPV model of turbofan engine based on local linear model is established. Then, a modified quasi-LPV model of aeroengine based on a balanced manifold is established. That is, the equilibrium state of the quasi-LPV model is updated by using the parametric form of the balanced manifold and estimating the equilibrium state of the engine in real time according to the dispatching variables. Finally, by simulating the process of accelerating the engine from the idle state to the maximum state, it shows that the steady-state and dynamic response characteristics of the improved LVP model are in good agreement with the nonlinear model of the engine.