轴流透平级的最佳流型设计方法

把近代最优控制论方法引入轴流透平叶片的设计,在优化的轴流透平子午通道内,建立包括透平级内所有性能参量的最优流型命题的完整的物理模型及其数学表达式,并归化为一个在给定初始状态、自变量终端固定、部分状态变量终端受有约束的条件下,使级的某一性能指标(如级的功率)达到最优的最优控制问题,应用“代价函数法”及“共轭梯度法”编制计算程序,计算得到符合给定约束条件、并使目标函数取极值的最优环量分布,结果是令人满意的。 

A Method for Flow Pattern Design of Axial Flow Turbine Stage

A full mathematical model of optimal flow pattern design with engineering constraints was put forward,based on modern optimal control theory.An optimal flow pattern design was presented for optimizing meridional channel of axial flow turbine.According to integral optimization of turbine stages,a full physical model and mathematical expression were put forward for proposition of optimal flow pattern,including all performance parameters in turbine stages.This problem was further recast into a typical form control to maximize specific performance index such as work or efficiency of stage with given initial state,fixed terminal condition and constraints for part of state terminal variables.The program was also worked out according penalty function method and conjugate gradient method.The optimal distribution of C 1ur 1(r 1) was obtained according to constraint conditions and maximized objective function.