关键词: 航空发动机部件级模型, 平衡方程, 拟牛顿法, 自适应变步长因子, 实时性

Abstract:

Aeroengine is a complex and time-varying multivariable thermophysical system. The research on the convergence accuracy and rate of the component-level model is of great significance to the model-based engine health management, performance and fault-tolerant control. The existing engine component-level models are generally based on the traditional quasi-Newton method to solve the equilibrium equations simultaneously. Compared with the traditional Newton-Raphson method (N-R method), the convergence speed is optimized, but it is difficult to meet accuracy and real-time requirements of the dynamic model airborne applications within the full envelope. An adaptive variable step factor quasi-Newton method is proposed, which can reduce the number of model iterations to the greatest extent while ensuring the calculation accuracy of the model, and greatly improve the calculation speed of the model and create conditions for the on-board application of the model. The simulation test results based on the current engine computing platform MPC5554 microcontroller show that, compared with the traditional algorithm, the proposed adaptive variable step factor quasi-Newton algorithm has better convergence and real-time performance.

Key words: aero-engine component-level model, equilibrium equation, quasi-newton method, adaptive step size factor, real-time performance