一种不需要迭代的发动机辅助变量建模方法

现代航空发动机建模计算时常用牛顿迭代法求解非线性方程组,但由于发动机模型非线性太强且十分复杂而不易在全包线收敛。本文针对这一不足之处提出了一种不需要迭代就可以求解此非线性方程组的方法:引入航空发动机容积动力学中的变量及方程作为辅助变量及辅助方程,从而使整个非线性方程组闭合而可以直接求解。本文将此方法成功应用于某涡扇发动机,取得了良好的效果,验证了本方法的可行性。 

A Non-Iterative Method of Aero-Engine Modeling Using Complementary Variables

In aero engine modeling,Newton iteration method is often used to solve the non linear equations of engine model.But due to the strong non linearity of the equations,this algorithm often fails to converge at some points of the full envelope.In order to solve this problem,this article proposes a method to avoid iteration.Several variables and equations of volume dynamics in aero engine are introduced as complementary variables and equations,and as a result,the whole set of equations becomes closed form and can be solved without iteration.This method has been successfully applied to a turbofan engine and the simulation results show the feasibility and effectiveness of the proposed method.