涡扇发动机多动力学建模方法

考虑涡扇发动机转子部件的惯性、容腔中质量与能量的堆积效应和高低温部件间的热交换，依据转子动力学、容积动力学及热力学建立涡扇发动机部件级非线性动态数学模型。通过求解质量、动量和能量的一阶微分方程，获得发动机典型截面处的性能参数。该模型能够反映涡扇发动机温度、压力、转速等12个关键参数的动态特性，避免传统转子动力学迭代模型的迭代求解，提高了模型实时性。模型输出与试验数据对比结果表明，其稳态误差小于1.6%，最大动态误差小于5%，单次流路计算平均耗时为0.009 ms。

A multi-dynamics approach to turbofan engine modeling

Considering the rotor inertia, the storage of mass and energy in volumes and the heat exchanging between high-temperature components and low-temperature components, an approach to model turbofan engines is presented. By adopting the shaft dynamics, the volume dynamics, and the thermodynamics, a nonlinear dynamic mathematical model for turbofan engines is formed. The characteristic parameters at the primary sections are obtained by solving a series of first-order ordinary differential equations. The new model can not only simulate the dynamic characteristics of 12 key parameters of turbofan engine, such as temperatures, pressures, and rotor speeds, but also improve the real-time performance by avoiding solving the traditional rotor dynamics iterative model. The comparison between the new model outputs and the test measurements is conducted. The results show that the static error is less than 1.6% and the maximum dynamic error is less than 5%, and the average time for a single flow-path computation is 0.009 ms.