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Design optimization of the last stage of a 4.5-stage compressor using a POD-based hybrid model

机译：使用基于POD的混合模型优化4.5级压缩机的最后一级的设计

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The paper presents a hybrid model method based on proper orthogonal decomposition (POD) and its application to aerodynamic design optimization of the last stage of a low-speed 4.5-stage compressor preliminary designed by an in-house design procedure. The stator blade of the last stage is redesigned to reduce the flow separation zones that appear in the suction-endwall corners. POD, recognized as a useful tool to construct the reduced order models, is employed to reconstruct the flow solutions with respect to a given aerodynamic shape in the system space. The flow solutions are described in a weighted summation form of the basis modes. In order to improve the description performance, the weights of basis modes are obtained by a nonlinear regression method in the present paper, rather than the widely used linear regression. The implementations of POD-based hybrid model are presented and the description performance is evaluated and validated firstly. Then the optimization is performed by using the hybrid model through modifying the spanwise stagger angle and the camber of stator blade, while maintaining the mass flow rate. The effects of stagger angle change and camber modification on the performance improvements are presented in detail, demonstrating that the POD-based hybrid model is an easy implemented but valuable and efficient method in aerodynamic design optimization. Finally, data mining technique is employed to discover the design knowledge of the optimization. POD, due to its ability on extracting the dominant characteristics, is used to illustrate the primary basis modes of design parameter changes, further demonstrating the effects of blade redesign on the performance variations. (C) 2018 Elsevier Masson SAS. All rights reserved.
机译：本文提出了一种基于固有正交分解（POD）的混合模型方法，并将其应用于通过内部设计程序初步设计的低速4.5级压缩机最后一级的空气动力学设计优化。重新设计了最后一级的静叶片，以减少出现在吸入端壁角上的流分离区域。 POD被认为是构造降阶模型的有用工具，可用于相对于系统空间中给定的空气动力学形状来重构流解。流量解以基本模式的加权求和形式描述。为了提高描述性能，本文采用非线性回归方法而不是广泛使用的线性回归方法来获得基本模式的权重。提出了基于POD的混合模型的实现，并对描述性能进行了评估和验证。然后，通过使用混合模型，在保持质量流量不变的情况下，通过修改翼展方向交错角和定子叶片的外倾角，来进行优化。详细介绍了交错角度变化和外倾角修改对性能改进的影响，表明基于POD的混合模型是空气动力学设计优化中易于实现但有价值和有效的方法。最后，采用数据挖掘技术发现优化的设计知识。 POD由于具有提取主导特征的能力，因此可用来说明设计参数更改的主要基础模式，从而进一步证明叶片重新设计对性能变化的影响。 （C）2018 Elsevier Masson SAS。版权所有。

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