孙壮壮,朱亚东,陈加琦,等. 基于NSGA-II的S翼型及双向轴流泵多目标优化[J]. 农业工程学报,xxxx,x(x):1-10. DOI: 10.11975/j.issn.1002-6819.202405062
    引用本文: 孙壮壮,朱亚东,陈加琦,等. 基于NSGA-II的S翼型及双向轴流泵多目标优化[J]. 农业工程学报,xxxx,x(x):1-10. DOI: 10.11975/j.issn.1002-6819.202405062
    SUN Zhuangzhuang, ZHU Yadong, CHEN Jiaqi, et al. Multi-objective Optimization of S-shaped Hydrofoil and Bidirectional Axial-flow Pump Based on NSGA-II[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), xxxx, x(x): 1-10. DOI: 10.11975/j.issn.1002-6819.202405062
    Citation: SUN Zhuangzhuang, ZHU Yadong, CHEN Jiaqi, et al. Multi-objective Optimization of S-shaped Hydrofoil and Bidirectional Axial-flow Pump Based on NSGA-II[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), xxxx, x(x): 1-10. DOI: 10.11975/j.issn.1002-6819.202405062

    基于NSGA-II的S翼型及双向轴流泵多目标优化

    Multi-objective Optimization of S-shaped Hydrofoil and Bidirectional Axial-flow Pump Based on NSGA-II

    • 摘要: 为了满足城市应对干旱和双向调水需求、提高双向轴流泵的水力效率,本研究以某比转速(正向运行)1200左右的高比转速双向泵为对象,进一步探索双向泵的优化设计方法。在验证数值计算的准确性的基础上,基于NSGA-II(第二代非劣分类遗传算法,non-dominated sorting genetic algorithm-II),选取叶轮跨中附近的可逆翼型(S翼型),优化了多攻角(+2°、+4°和+6°)下的翼型性能。优化时以翼型加权空化性能最优和升阻比最大为目标,在保证双向泵扬程不变的前提下,以原翼型设计攻角下升力系数基本不变为约束,保持对S翼型最大厚度和最大厚度位置不变,对中弧线和厚度分布的12个设计参数进行优化求解。从Pareto解集中选取升阻比性能和空化性能较优的S翼型作为双向泵叶轮的优选模型,并对比优化前后的叶轮性能。研究结果表明:在得到的115组Pareto解集中,S翼型升阻比性能指标最大提升27.7%,空化性能指标最大提升1.7%。在一定范围内减小翼型的最大拱度有利于升阻比的提升,而增大翼型拱度则有利于空化性能的提升。优化后双向泵扬程基本不变而效率提升明显,在0.8、1.0和1.2倍正、反向设计流量下,正向效率提升0.6、0.5和2.2个百分点,反向效率提升1.1、0.2和0.4个百分点,叶轮内部流场得到明显改善,且泵的临界空化数变化较小而初生空化数降低明显。研究结果可为可逆式旋转机械的优化设计提供参考。

       

      Abstract: To meet the urban demand for drought response and two-way water transfer, as well as improve the hydraulic efficiency of bidirectional axial-flow pumps, this study focuses on optimizing the design of high-specific-speed bidirectional pumps with a specific speed (forward operation) of around 1200. Based on the validation of the accuracy of numerical calculations, a reversible hydrofoil (S-shaped hydrofoil) near the middle span of the impeller was selected and optimized using NSGA-II (Non-dominated sorting genetic algorithm-II) for various attack angles (+2°, +4°, and +6°). The optimization aims to maximize the weighted cavitation performance and lift-to-drag ratio of the hydrofoil, while maintaining the lift coefficient at the original hydrofoil design angle under the constraint of unchanged bidirectional pump head. The maximum thickness and its position of the S-shaped hydrofoil were kept constant, and the camber line shape was described using a fourth-order Bezier curve, while the thickness distribution was described by a combination of arcs and fourth-order Bezier curves. Through optimization of 12 design parameters related to the camber line and thickness distribution, a total of 1680 iterations were performed using NSGA-II, resulting in a Pareto solution set for cavitation performance and lift-to-drag ratio. The emergence of the Pareto frontier indicates a trade-off relationship between the lift-drag performance and cavitation performance of the hydrofoil. Among the 115 Pareto solutions obtained, the maximum improvement in the lift-to-drag ratio was approximately 27.7%, and the maximum improvement in cavitation performance was approximately 1.7%. The optimal Sc1 for lift-to-drag ratio, the optimal Sc3 for cavitation performance, and the compromise solution Sc2 were selected for further comparison of their shape and pressure coefficient distribution. The lift coefficients of the three hydrofoil schemes before and after optimization were basically consistent at different attack angles, and the minimum pressure coefficient on the hydrofoil surface gradually increased from Sc1 to Sc3. Compared with the original Ori scheme, the maximum camber of the Sc1 and Sc2 hydrofoils decreased, resulting in a more uniform distribution of pressure coefficients on the hydrofoil surface. However, the maximum camber of the Sc3 hydrofoil increased, indicating that reducing the maximum camber within a certain range is beneficial for improving the lift-to-drag ratio, while increasing the camber is beneficial for improving cavitation performance. The Sc2 scheme was selected as the preferred model for the impeller of the bidirectional pump, and the impeller performance before and after optimization was compared. The results showed that the head of the optimized bidirectional pump remained basically unchanged, while the efficiency improved significantly. At 0.8, 1.0, and 1.2 times the forward and reverse design flow rates, the forward efficiency increased by approximately 0.6, 0.5, and 2.2 percentage points, and the reverse efficiency increased by approximately 1.1, 0.2, and 0.4 percentage points. The optimized impeller exhibited lower shaft power within the calculated flow range. The flow separation at the leading edge of the blade and near the trailing edge of the hub was significantly suppressed, resulting in a more uniform velocity distribution within the blade passage and significant improvement in the internal flow field of the impeller. Additionally, the critical cavitation number of the pump changed slightly, while the incipient cavitation number decreased significantly. Based on the combination of numerical simulation and NSGA-II algorithm, this study proposes a multi-objective optimization design method for S-shaped hydrofoils of bidirectional pumps that considers both lift-to-drag ratio and cavitation performance. The results can provide a reference for the optimization design of reversible rotating machinery.

       

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