Volume 31 Issue 1
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WANG Yuan, LI Qiu-hong, HUANG Xiang-hua. Numerical calculation of aero-engine model based on self-tuning Broyden quasi-Newton method[J]. Journal of Aerospace Power, 2016, 31(1): 249-256. doi: 10.13224/j.cnki.jasp.2016.01.032
Citation: WANG Yuan, LI Qiu-hong, HUANG Xiang-hua. Numerical calculation of aero-engine model based on self-tuning Broyden quasi-Newton method[J]. Journal of Aerospace Power, 2016, 31(1): 249-256. doi: 10.13224/j.cnki.jasp.2016.01.032
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Numerical calculation of aero-engine model based on self-tuning Broyden quasi-Newton method

doi: 10.13224/j.cnki.jasp.2016.01.032

  • Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

  • Received Date: 2014-05-05
  • Publish Date: 2016-01-28
    Abstract
  • A self-tuning Broyden quasi-Newton method combined with computing divergence mechanism judging and tuning was proposed. By combining the quadratic convergence of Newton-Raphson method and the super-linear convergence of Broyden quasi-Newton method, the proposed method had higher computing performance in calculation of nonlinear system. Targeting variable cycle engine component-level model, the steady state and dynamic simulation have been calculated by Newton-Raphson method, Broyden quasi-Newton method and the self-tuning Broyden quasi-Newton method. Results shows that, the self-tuning Broyden quasi-Newton method has greater adaptability, faster calculation speed and stronger convergence. The component computing times of the self-tuning Broyden quasi-Newton method is 15% of the Newton-Raphson method in dynamic simulation, the dynamic error is lower than 15% of the Broyden quasi-Newton method and 28% of the Newton-Raphson method, the maximum amount of residual is lower than 25% of other methods. These results prove the self-tuning Broyden quasi-Newton method superiority, the objective of the proposed method has been achieved.

     

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