遗传算法在航空发动机非线性数学模型中的应用

推进技术 ›› 2004, Vol. 25 ›› Issue (3): 237-240.

遗传算法在航空发动机非线性数学模型中的应用

苏三买,廉小纯

西北工业大学航空动力与热力工程系陕西西安710072;西北工业大学航空动力与热力工程系陕西西安710072

发布日期:2021-08-15
基金资助:
航空推进技术验证(APTD)计划项目(APTD 0901 13);西北工业大学"英才培养计划"基金资助。

Application of genetic algorithm in aeroengine nonlinear mathematical models

Dept.of Aeroengine Engineering, Northwestern Polytechnical Univ.,Xi’an 710072, China;Dept.of Aeroengine Engineering, Northwestern Polytechnical Univ.,Xi’an 710072, China

Published:2021-08-15

摘要/Abstract

摘要： 收敛性是航空发动机非线性数学模型的重要指标。现有发动机平衡方程迭代解法还不能保证模型大范围收敛。以某涡扇发动机为对象,采用遗传算法求解发动机非线性数学模型,将模型中的发动机平衡方程求解转换为极小值优化问题,建立了遗传算法计算模型,重点分析了采用遗传算法求解的适应度函数设计方法。数值仿真结果表明,与牛顿-拉夫逊解法相比,采用遗传算法方法可实现模型大范围收敛。

关键词: 航空发动机;非线性;数学模型;遗传算法+;平衡方程;收敛

Abstract: Convergence is one of the most important issues in aeroengine nonlinear mathematical models. Current aeroengine balance equations solutions are not always effective in entire envelope. Genetic algorithm(GA) is applied on a turbofan engine performance model. Solving aeroengine balance equations is converted to a GA minimum optimization problem , and the solution method, especially the GA fitness function design,is introduced in detail. Comparison with Newton-Raphson,simulation results show that the model convergence is improved with application of GA in aeroengine nonlinear mathematical models.

Key words: Aircraft engine;Nonlinearity;Mathematical model;Genetic algorithm~+;Equilibrium equation;Convergence

苏三买,廉小纯. 遗传算法在航空发动机非线性数学模型中的应用[J]. 推进技术, 2004, 25(3): 237-240.