基于响应曲面法的液力透平叶轮多目标优化设计

建立了基于试验设计理论和响应面近似的液力透平叶轮的优化设计方法。以最高效率、高效区范围及转轮所得扭矩-流量曲线在小流量区的稳定性为目标函数。在使用CFturbo软件建立液力透平叶轮的参数化模型后,先用Plackett-Burman试验设计筛选结构参数,并根据结构参数对目标函数的影响将其划分为三个等级:显著因素、次显著因素和不显著因素;再用正交试验法确定次显著因素的设计中心点;最后由中心复合和Box-Behnken设计及响应面分析确定各级结构参数的最优设计点。该方法以计算流体力学(CFD)的计算结果为基础,共进行40次试验,构造了液力透平叶轮的结构参数与多目标函数的响应面近似模型,分析了结构参数间的交互效应。对最优设计点的液力透平进行了实验研究,试验结果及CFD计算值与响应面近似值吻合,且较优化前的模型在性能上有明显改善,表明基于试验设计和响应面的优化设计方法可用于液力透平叶轮的优化设计。

Optimization of Impeller for Hydrodynamic Turbine Based on Response Surface Method

The Hydraulic Turbine impeller design optimization method was established based on experimental design theory and the response surface approximation.Take the most efficient,effective area and head-flow curve in the low flow region of stability as the objective function.After establishing the parameters of the model cyclone Turbine the first screening Plackett-Burman experimental design structure parameters,and structural parameters of the objective function under the influence will be divided into three levels：significant factor,the second significant factor and not significant factors.the significant factors in the design center is determined by the steepest rise method to approach the maximum response value of the regional presence; Finally by central composite and Box-Behnken design and the response surface analysis to determine the optimal parameters at all levels of structure design points.Based on the computational fluid dynamics （CFD） results,the structural parameters of the Turbine structure swirl and multi-objective function response surface approximation model were obtained to analyze the interaction between the effects of structural parameters,Optimum design point for the Turbine has been studied,CFD calculations consistent with the response surface approximation,the significant improvement in performance than before optimization model indicates that the experimental design and response surface based optimization design method can be used to optimize the design of hydraulic turbine impeller.