姜波,王继强,何小龙,胡忠志.基于改进牛顿法的航空发动机起动建模技术[J].航空发动机,2018,44(1):32-38
基于改进牛顿法的航空发动机起动建模技术
Sub-idle Modeling of Aeroengine Based on Improved Newton's Method
  
DOI:
中文关键词:  双转子涡扇发动机  起动建模  指数外推  改进牛顿法  仿真速度
英文关键词:two-spool turbofan engine  sub-idle modeling  exponential extrapolation  improved Newton's method  simulation speed
基金项目:江苏省自然科学基金(BK20140829)、中央高校基本科研业务费专项资金(NS2016024)资助
作者单位E-mail
姜波,王继强,何小龙,胡忠志 南京航空航天大学江苏省航空动力系统重点实验室南京210016 jiangbo_nuaa@163.com 
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中文摘要:
      为进行涡扇发动机起动过程性能仿真研究,在发动机慢车以上部件级模型的基础上,通过指数外推法获得低转速部件 特性,在建立起动附件模型的同时,修正起动过程各部件总压恢复系数,从而建立起包含地面起动过程的全状态性能模型。在求解发 动机各部件共同工作非线性方程组时,采用基于传统牛顿拉夫森迭代求解方法的改进方法,即在第1 次完成中心差分得到 Jacobian矩阵后,使用修正项迭代更新上一步的Jacobian矩阵。结果表明:该建模方法可以有效地建立起动过程性能模型,并大幅 改善模型的执行效率、提高模型仿真求解速度
英文摘要:
      In order to perform the performance simulation of aeroengine starting process, the component characteristics of low speed were obtained through the exponential extrapolation on the basis of component level model which was above idle region, and a full state performance model including ground starting process was finally established with modeling of starting accessories and modification of the total pressure recovery coefficient of each component. An improved Newton iterative method was adopted when solving the nonlinear equations of aeroengine different components. The Jacobian matrix was obtained by central difference for only one time, and it was updated iteratively with a modified term obtained over last iteration. The result shows that the modeling method can effectively establish the starting process model, and greatly improve the efficiency and speed of model simulation
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