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惩罚函数法在发动机性能计算中的应用
Application of SUMT to Performance Calculation for Turbojet Engines
【摘要】 按照涡喷发动机工作时遵守的气动热力学定律 ,建立了发动机的稳态数学模型 ;并针对双轴涡喷发动机性能计算的非线性数学模型 ,利用优化和最优控制理论中的惩罚函数法 ,对发动机性能进行了基于约束的最优求解程序设计 ;利用程序对某型发动机的稳态飞行特性进行了计算。计算结果表明 ,使用惩罚函数法求出的特性曲线变化规律正确 ,发动机平衡方程的解的精度更高 ,在此基础上得出的发动机飞行特性也更准确 ;另外惩罚函数法对初值的要求很低 ,迭代运算不易发散。
【Abstract】 According to thermodynamics principles obeyed by turbojet engines, this paper establishes the nonlinear mathematical model of turbojet engines. Combined with the nonlinear mathematical mo-del, the sequential unconstrained minimization technique (SUMT) is used for developing a code to calculate the performance of dual-axis turbojet engines. In the study the flight characteristics of a kind of turbojet engines are calculated by using code. Result shows that the solutions satisfying the balance equation of turbojet engines are more precise, so the flight characteristics based on the solution are more reasonable. What′s more, the code based on SUMT is less sensitive on the initial data and less likely to diverge.
- 【文献出处】 南京航空航天大学学报 ,Journal of Nanjing University of Aeronautics & Astronautics , 编辑部邮箱 ,2001年04期
- 【分类号】V231
- 【被引频次】14
- 【下载频次】262