Abstract: To develop an optimization system for tandem cascades， an algorithm of tandem airfoil parameterization is first proposed. A conventional cascade is then redesigned as a tandem cascade， which decreases the total loss coefficient by 41.8% and increases the static pressure rise by 0.92% at design point. A master-slave parallel differential evolution algorithm is developed for the following optimization. Five configuration parameters of the tandem cascade are optimized， which decreases the total loss coefficient by 8.67% and increases the static pressure rise by 0.3% at design point. A partial correlation coefficient analysis of optimization history data reveals the influence priority of the five configuration parameters on tandem cascade performance. It is proposed and verified that the front-rear distributions of camber and chord can affect the performances at different incidence angles. A new parameter is then defined to measure the distribution above and able to control the characteristics at different incidence angles. A more superior design at overall incidence angles is achieved by adjusting that parameter.

Key words: Tandem cascade；Flow control；Differential evolution；Axial compressor；Airfoil geometry；Parallel optimization

摘要： 为发展串列叶栅优化设计体系，首先提出了串列叶型的参数化造型方法，并对某传统叶栅进行了串列改型，设计点总压损失系数下降了41.8%，静压升上升了0.92%。发展了主从式并行微分进化算法，并对该串列叶栅的5个配置参数进行了数值优化，设计点总压损失系数降低了8.67%，静压升提高了0.3%。采用偏相关分析法对优化全过程进行数据挖掘，揭示了5个配置参数对串列叶栅性能的影响程度。提出并验证了串列叶栅前后叶的弯角和弦长分布对攻角特性的影响关系，并定义一个新的参数用于衡量这一影响关系，实现了对攻角特性的调节，得到了全工况更优的方案。

关键词: 串列叶栅；流动控制；微分进化；轴流压气机；叶型造型；并行优化