基于改进拟合法的涡扇发动机状态变量模型建立方法

推进技术 ›› 2013, Vol. 34 ›› Issue (3): 405-410.

基于改进拟合法的涡扇发动机状态变量模型建立方法

胡宇¹,杨月诚¹,张世英¹,金国锋¹,周保顺²

第二炮兵工程大学动力工程系,陕西西安 710025;第二炮兵工程大学动力工程系,陕西西安 710025;第二炮兵工程大学动力工程系,陕西西安 710025;第二炮兵工程大学动力工程系,陕西西安 710025;中国人民解放军96630部队,北京 100085

发布日期:2021-08-15
作者简介:胡宇(1984—),男,博士生,研究领域为弹用涡扇发动机建模与故障诊断。E-mail:huyu1222@163.com
基金资助:
军队社科基金(11QJ003-220)；陕西省自然科学青年基金(2010JQ8018)。

Establishment of Turbofan Engine State Variable Model Based on Improved Fitting Method

Department of Power Engineering,The Second Artillery Engineering University,Xi’an 710025,China;Department of Power Engineering,The Second Artillery Engineering University,Xi’an 710025,China;Department of Power Engineering,The Second Artillery Engineering University,Xi’an 710025,China;Department of Power Engineering,The Second Artillery Engineering University,Xi’an 710025,China;Troops No.96630of PLA,Beijing 100085,China

Published:2021-08-15

摘要/Abstract

摘要： 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。

关键词: 涡扇发动机;状态变量模型;偏导数法;拟合法 

Abstract: In order to solve the initial values problem and improve model accuracy dramatically in establishment of turbofan engine SVM using fitting method, a state variable modeling (SVM) method was investigated based on linear least square optimized fitting. The partial derivative method (PDM) was improved in terms of iteration computation in Components Level Model (CLM) to get the initial values. The linear least square optimized fitting method was studied to establish the SVM of turbofan engine according to the law that the dynamic responses of the linear model should be in accordance with that of the nonlinear model at the same steady working point. The results from improved fitting method (IFM) were compared with those from improved PDM (IPDM) and CLM. The results show that the IFM can ensure the convergence of the model, obtain better modeling precision and adapt to the high-level systems modeling. 

Key words: Turbofan engine; State variable model;Partial derivative method;Fitting method

胡宇,杨月诚,张世英,金国锋,周保顺. 基于改进拟合法的涡扇发动机状态变量模型建立方法[J]. 推进技术, 2013, 34(3): 405-410.

HU Yu¹, YANG Yue-cheng¹, ZHANG Shi-ying¹,JIN Guo-feng¹,ZHOU Bao-shun². Establishment of Turbofan Engine State Variable Model Based on Improved Fitting Method[J]. Journal of Propulsion Technology, 2013, 34(3): 405-410.

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