Abstract: Linear modeling of aero engines based on equilibrium manifold expansion (EME) model is investigated. Construction process of the EME model is discussed, and theoretical basis of obtaining linear models of a nonlinear plant from its EME model is given. The valid area of linear model and EME expansion model is compared, indicting that a larger perturbation signal could be used to identify the EME model. The simulation results show that this linear modeling method is effective.

Key words: Aero engine; Nonlinear system; Linear model; Equilibrium manifold; Modeling

摘要： 研究了利用平衡流形模型建立航空发动机线性模型的方法。详细讨论了平衡流形模型的构造过程,给出从对象的平衡流形模型获取线性模型的理论依据。比较了线性化模型和平衡流形模型的有效范围,分析了两步法建立平衡流形模型允许采用更大的扰动量的原因。通过仿真验证了利用较大的扰动信号辨识平衡流形模型,进而获取线性模型的有效性。

关键词: 航空发动机;非线性系统;线性模型;平衡流形;建模