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本文采用改进的侧偏余弦函数作为造型基函数,使用Beier样条曲线控制造型参数沿轴向的变化规律,构造了一套叶栅非轴对称端壁造型系统。并在此基础上,进一步加入对三维叶型积叠规律的控制,将弯叶片造型方法和非轴对称端壁造型系统整合成非轴对称端壁与三维叶片积叠联合造型系统。将该造型系统与商业优化软件iSIGHT集成,采用模拟退火算法对某两级透平的第一级静叶进行了气动优化设计,优化目标为气动效率最高。优化后绝热效率增加了约0.43%,流量增加了约2.1%。优化结果表明非轴对称端壁与三维积叠的联合造型方法能够在单一造型方案的基础上进一步提高叶栅的气动效率。
In this paper, an improved side-cosine function is used as modeling basis function, and a Beier spline curve is used to control the variation of modeling parameters along the axial direction. A set of non-axisymmetric endwall modeling system is constructed. On the basis of the above, the control of the stacking rule of the three-dimensional leaf pattern is further added. The bending blade modeling method and the non-axisymmetric end wall modeling system are integrated into the non-axisymmetric end wall and the three-dimensional leaf stacking superposition modeling system. The modeling system and business optimization software iSIGHT integration, the use of simulated annealing algorithm for the first stage of a two-stage turbine vane aerodynamic optimization design, the optimization goal for the highest aerodynamic efficiency. After optimization, the adiabatic efficiency increased by about 0.43% and the flow increased by about 2.1%. The optimization results show that the combined modeling method of non-axisymmetric endwall and 3D stacking can further improve the aerodynamic efficiency of the cascade on the basis of a single modeling scheme.