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基于动态RBF代理模型与NSGA-Ⅱ算法的离心泵叶轮优化设计

Optimization design of centrifugal pump impeller based on dynamic RBF surrogate model and NSGA-Ⅱ genetic algorithm

  • 摘要: 传统离心泵多目标优化设计中,代理模型的预测精度随着Pareto前沿不断向前推进将逐渐降低,为改善离心泵多目标优化效果,提出一种基于动态RBF代理模型与NSGA-Ⅱ算法的离心泵叶轮优化方法,将生成的Pareto前沿解中部分最优样本添加到RBF样本集中,重新训练RBF代理模型,依据动态代理模型预测子代各样本的目标函数值.以MH48-12.5型离心泵为研究对象,选取叶片的进口安放角、出口安放角及叶片包角为优化变量,采用拉丁超立方抽样(LHS)构建代理模型初始样本空间,并以扬程和效率为优化目标进行多目标优化分析.结果表明:动态RBF代理模型多目标优化方法得到的Pareto前沿要大大优于静态代理模型方法结果,静态代理模型方法得到的Pareto前沿各点均被动态模型方法得到的Pareto前沿所支配;动态代理模型对前沿解的预测精度均大于静态代理模型;动态代理模型方法得到扬程最大点比原始设计高2.86%,比静态模型高1.03%;动态代理模型方法得到水力效率最高点比原始设计效率高4.36%,比静态模型高1.32%.

     

    Abstract: In the multi-objective optimization design of traditional centrifugal pumps, the prediction accuracy of the surrogate model will gradually decrease as the Pareto frontier advances. In order to improve the effect of multi-objective optimization results of centrifugal pump impeller, the optimization method of centrifugal pump based on the dynamic RBF surrogate model and the NSGA-Ⅱ algorithm was proposed. Some optimal samples from the generated Pareto frontier solution were added to the RBF sample set and the RBF surrogate model was retrained and reconstructed. The objective function value of each sample of offspring samples were predicted by using the dynamic surrogate model. The MH48-12.5 centrifugal pump was selected as the research object, and the blade inlet angle, blade outlet angle and blade wrap angle were selected as the optimization variables. Latin Hypercube Sampling(LHS) was used to construct the initial sample space of the surrogate model, and multi-objective optimization analysis was carried out with optimization objectives of head and efficiency. The results show that the Pareto frontier obtained by the multi-objective optimization method of dynamic RBF surrogate model is much better than that obtained by the static surrogate model method. The Pareto front points obtained by the static surrogate model method are all dominated by that of the dynamic model method. The prediction accuracy of Pareto front solutions for the dynamic surrogate model is higher than that of static surrogate model. The optimal maximum head obtained by the dynamic surrogate model is 2.86% higher than the original design head and 1.03% higher than the static model. The optimal maximum efficiency obtained by the dynamic surrogate model is 4.36% higher than the original design efficiency and 1.32% higher than the static model.

     

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