航空发动机非线性模型实时计算的迭代方法研究

针对航空发动机非线性模型将作为未来机载应用而需要严格实时性的问题,研究了求解模型的迭代方法,综述其历史发展情况,并讨论收敛性问题,同时提出一种改进应用方案,即模型在过渡态仿真时可将上一状态点雅可比矩阵直接应用于下一点计算,能够在典型应用方案基础上直接减少气动热力模型计算次数,从而提高整体模型执行效率.通过实际算例对这些应用方案进行仿真比较与分析,结果表明:①Broy-den秩1法执行效率最高,更适宜用于模型实时计算;②改进应用方案简单、有效,为进一步满足非线性模型的严格实时性要求奠定基础. 

Research on the iteration methods in aero-engine non-linear model real-time computation

Considering the rigorous real-time computation of aero-engine non-linear model for on-board application in future,several iteration methods were studied in this paper.Their historical developments were surveyed,and convergence problems were discussed.Then a new improved method was presented in which the Jacobian matrix for a previous state point could be directly applied to the next point's calculation during the transition state simulation.It can improve execution efficiency of the model by reducing the number of aerothermodynamic model computations.Finally,a practical example has been simulated in these iteration methods respectively.The simulation results show that(1) the Broyden rank-one method has highest execution efficiency,so it's more suitable for non-linear aero-engine model real-time computing;(2) the improved method is simple and effective,laying a foundation for the rigorous real-time computation of aero-engine non-linear model.