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以小型涡扇发动机DGEN380燃油控制规律为研究目标,使用解析法基于MATLAB平台建立其整机部件级稳态及动态数学模型并进行仿真计算。在旋转部件建模过程中使用工具获取特性数据,并绘制可以即时显示当前工作点/线的部件特性图;在稳态仿真时使用Newton-Raphson法和遗传算法2种方法求解发动机工作方程组,并对二者进行评估对比,针对遗传算法在发动机模型求解过程中的局限性对一般基础模型进行优化改进;在动态仿真时,采用欧拉法计算微分项。基于模型分析发动机燃油控制规律,并以发动机高度特性为例进行仿真计算。试验结果表明:Newton-Raphson法具有高精度和高速度,改进模型后遗传算法具有更好的适应性,模型及燃油控制规律的仿真结果较好地符合试验数据和理论趋势,对比误差小于3%。
Taking the DGEN380 fuel control law of small turbofan engine as the research goal, the steady-state and dynamic mathematical model of the machine-part level of the whole machine was established and analyzed by using analytical method based on MATLAB platform. In the process of rotating part modeling, the tool is used to obtain the characteristic data and draw the part characteristic diagram which can display the current working point / line in real time. In the steady state simulation, Newton-Raphson method and genetic algorithm are used to solve the equations of engine working equations, The two algorithms are compared and evaluated. In order to solve the limitation of genetic algorithm in solving engine model, the general basic model is optimized and improved. In dynamic simulation, the differential term is calculated by Euler method. Based on the model analysis of engine fuel control law, and taking the engine height characteristics as an example for simulation calculation. The experimental results show that the Newton-Raphson method has high accuracy and high speed, and the genetic algorithm has better adaptability after the improved model. The simulation results of the model and the fuel control law are in good agreement with the experimental data and the theoretical trend. The contrast error is less than 3% .