| 基于自校正Broyden拟牛顿法的航空发动机模型数值计算 |
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| 引用本文： | 王元,李秋红,黄向华. 基于自校正Broyden拟牛顿法的航空发动机模型数值计算[J]. 航空动力学报, 2016, 31(1): 249-256. DOI: 10.13224/j.cnki.jasp.2016.01.032 |
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| 作者姓名： | 王元 李秋红 黄向华 |
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| 作者单位： | 南京航空航天大学 能源与动力学院 江苏省航空动力系统重点实验室, 南京 210016 |
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| 基金项目： | 国家自然科学基金(61104067); 江苏省研究生培养创新工程(KYLX0302); 中央高校基本科研业务费专项资金; 江苏省航空动力系统重点实验室开放课题 |
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| 摘 要： | 以Broyden拟牛顿法为基础结合计算发散判断和校正机制,提出自校正Broyden拟牛顿法.该算法结合牛顿法(Newton-Raphson method)平方收敛和Broyden拟牛顿法超线性收敛特性,通过自适应调整计算步长和校正函数,在非线性系统中具有更好的计算性能.以变循环发动机部件级模型为对象,应用自校正Broyden拟牛顿法进行稳态及动态仿真计算,并与牛顿法和Broyden拟牛顿法作对比.结果表明:自校正Broyden拟牛顿法对恶劣的初始计算条件适应性更高,计算速度更快且收敛能力性更强,动态计算中部件模型计算调用次数为牛顿法的15%,模型动态误差低于Broyden拟牛顿法的15%,同时也低于牛顿法的28%,动态计算最大残差量低于其他两种算法的25%.验证结果表明了自校正Broyden拟牛顿法的优越性.
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| 关 键 词： | 自校正 Broyden拟牛顿法 牛顿法 变循环发动机 部件级模型 |
| 收稿时间： | 2014-05-05 |
Numerical calculation of aero-engine model based on self-tuning Broyden quasi-Newton method |
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| WANG Yuan,LI Qiu-hong and 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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| Authors: | WANG Yuan LI Qiu-hong HUANG Xiang-hua |
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| Affiliation: | Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| 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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| Keywords: | self-tuning Broyden quasi-Newton method Newton-Raphson method variable cycle engine component-level model |
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