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为解决拟合法建立涡扇发动机状态变量模型时初值难以选取的问题和有效提高模型的精度,研究了一种改进的优化拟合方法。针对拟合法初值难以选取的问题,采用改进偏导数法获得的优化迭代初值;根据发动机稳态工作点线性化模型的动态响应与该点处的非线性模型动态响应一致的原则,采用线性最小二乘优化拟合法建立某型涡扇发动机状态变量模型。通过在不同状态工作点、采用不同模型结构,与改进偏导数法和非线性部件级模型仿真结果相比较表明:该方法能有效保证模型收敛性,具有较高的建模精度,并适用于高阶系统建模。
In order to solve the problem that initial value is difficult to select when fitting the state variable model of turbofan engine and how to improve the accuracy of the model, an improved optimization fitting method is studied. According to the principle that the dynamic response of the linearized model of the steady-state operating point is consistent with the dynamic response of the nonlinear model at that point, linearity Establishment of a Turbofan Engine State Variable Model Based on Least Square Optimization Fitting Method. Compared with the improved partial derivative method and nonlinear component-level model, the simulation results show that this method can effectively ensure the convergence of the model with high modeling accuracy and is suitable for high System modeling.