遗传算法在航空发动机非线性数学模型中的应用

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。

Application of genetic algorithm in aeroengine nonlinear mathematical models

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.