主管单位:中华人民共和国工业和信息化部
主办单位:西北工业大学  中国航空学会
地       址:西北工业大学友谊校区航空楼
基于物理知识驱动的敏感性分析及分区代理模型优化方法
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西北工业大学

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V211.3

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西北工业大学翼型、叶栅空气动力学重点实验室稳定支持项目资助 (基金号 614220121020128)


Sensitivity Analysis and Optimization Method of Partition Surrogate Model Based on Physical Knowledge
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Northwestern Polytechnical University

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    摘要:

    设计变量“维数灾难”问题是限制基于代理模型优化算法应用到高维气动设计的关键技术难题。为了解决维度灾难问题导致的代理模型精度下降和优化效果变差的问题,改进一种基于物理知识驱动的敏感性分区代理模型优化方法,研究不同分区设计变量对目标函数的敏感性;在序贯分区优化的基础上,以敏感性作为分区代理模型优化的顺序,开展进一步的优化设计研究。结果表明:该方法将高维设计空间分解为一系列低维子空间,可以显著提高代理模型的预测精度,实现样本的高效配置,从而实现高效的全局搜索,相较于传统代理优化方法,其建立代理模型所花费时间大幅减少,提高了代理优化方法处理高维气动设计问题的能力。

    Abstract:

    The problem of "dimensionality disaster" of design variable is a key technical problem that restricts the application of current surrogate-based optimization algorithms. In order to solve the problem of declining accuracy and poor optimization effect of surrogate model caused by dimensionality disaster problem, this paper improves a sensitivity analysis method based on physical knowledge driven partition surrogate model optimization. Based on physical knowledge and manual design experience, the design space is partitioned, and the molecular space units are divided by three-dimensional wing design section to achieve dimension reduction. In order to further improve the design effect of the partition optimization, the sensitivity of different partition design variables to the objective function is studied. On the basis of the sequential partition optimization, the sensitivity is taken as the order of the partition surrogate model optimization. The results show that the partitioning surrogate model optimization algorithm based on physical knowledge-driven sensitivity analysis can search for a better optimal solution, and the time spent on establishing the surrogate model is much lower than that of the EGO algorithm, and it can maintain good accuracy of the surrogate model, which can provide a new idea for the dimension disaster problem, and has certain engineering reliability and applicability.

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历史
  • 收稿日期:2024-01-23
  • 最后修改日期:2024-05-21
  • 录用日期:2024-05-24
  • 在线发布日期: 2025-03-06
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