罚函数法在求解航空发动机非线性方程组中的应用  

Application of Penalty Function Method in Solving Aero Engine Non-linear Functions

作　　者：施洋[1,2] 杨锟[1,2] 屠秋野[1,2] 蔡元虎[1,2] SHI Yang YANG Kun TU Qiu- ye CAI Yuan- hu(School of Power and Energy, Northwestern Polytechnical University,Xi＇an 710072, China Collaborative Innovation Center For Advanced- Engine, Xi＇an 710072, China)

机构地区：[1]西北工业大学动力与能源学院,陕西西安710072 [2]先进航空发动机协同创新中心,陕西西安710072

出　　处：《航空计算技术》2016年第6期35-37,42,共4页Aeronautical Computing Technique

摘　　要：针对求解分排涡扇发动机非线性方程组过程中出现的喷管进入无意义工作范围导致计算发散的问题。在传统的牛顿法中结合罚函数法,提出了一种新的非线性方程组求解方法。对某大涵道比分排涡扇发动机进行了仿真计算验证,并且将计算结果、收敛情况和传统的牛顿法进行了对比。结果表明,能够较好地处理喷管进入无意义工作范围导致计算发散的问题,改善了计算的收敛性。In order to solving the divergence situations caused by the meaningless nozzle working point when solving non- linear functions of turbofan engines. A method combined with traditional Newton- Rap- thon method and penalty function method was established. The performance of a high bypass ratio turbofan engine was simulated by using this method. The simulation results showed that this method could handle the divergence problems caused by nozzle working point in the range of nonsense, and the astringency of simulation was improved.

关 键 词：航空发动机 非线性方程组 收敛性 牛顿法 罚函数法 

分 类 号：V235.13[航空宇航科学与技术—航空宇航推进理论与工程]