基于自适应空间映射多可信度模型的网状天线形态机电集成优化设计

谭育正; 寇丹阳; 张树新

doi:10.12263/DZXB.20240506

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基于自适应空间映射多可信度模型的网状天线形态机电集成优化设计

中国电子学会优秀博士学位论文获得者特约专栏 | 更新时间：2025-12-08

- 基于自适应空间映射多可信度模型的网状天线形态机电集成优化设计
- Integrated Structural Electromagnetic Optimization Design of Mesh Antennas Based on Adaptive Space Mapping Multi-Fidelity Model
- 电子学报 2025年53卷第1期页码：51-62
- 作者机构：
  
  西安电子科技大学高性能电子装备机电集成制造全国重点实验室，陕西西安 710071
- 作者简介：
  
  [ "谭育正男，1998年2月出生于内蒙古自治区呼伦贝尔市.现为西安电子科技大学机电工程学院博士研究生.主要研究方向为网状天线、机器学习." ]
  [ "寇丹阳，男，1999年8月出生于陕西省商洛市.现为西安电子科技大学机电工程学院博士研究生.主要研究方向为阵面天线变形监测和主动调整. Email:563377251@qq.com" ]
  [ "张树新，男，1987年3月出生于河北省深州市. 现为西安电子科技大学教授，博士生导师，国家优秀青年基金获得者，电子装备机电耦合实验室国家级科研平台副主任. 主要研究方向为柔性可展开天线/结构机电耦合、机电集成设计与制造等. 中国电子学会会员编号：E190013497M.E-mail: zhangshuxindd@126.com" ]
- 基金信息：
  
  国家自然科学基金(52322507)
- DOI：10.12263/DZXB.20240506
  中图分类号： TN823+.27;
- 收稿：2024-06-02，
  
  修回：2024-09-07，
  
  纸质出版：2025-01-25
- 稿件说明：
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谭育正, 寇丹阳, 张树新. 基于自适应空间映射多可信度模型的网状天线形态机电集成优化设计[J]. 电子学报, 2025, 53(01): 51-62.

TAN Yu-zheng, KOU Dan-yang, ZHANG Shu-xin. Integrated Structural Electromagnetic Optimization Design of Mesh Antennas Based on Adaptive Space Mapping Multi-Fidelity Model[J]. Acta Electronica Sinica, 2025, 53(01): 51-62.
谭育正, 寇丹阳, 张树新. 基于自适应空间映射多可信度模型的网状天线形态机电集成优化设计[J]. 电子学报, 2025, 53(01): 51-62. DOI：10.12263/DZXB.20240506

TAN Yu-zheng, KOU Dan-yang, ZHANG Shu-xin. Integrated Structural Electromagnetic Optimization Design of Mesh Antennas Based on Adaptive Space Mapping Multi-Fidelity Model[J]. Acta Electronica Sinica, 2025, 53(01): 51-62. DOI：10.12263/DZXB.20240506

摘要

为了降低网状天线形态机电集成优化设计时的高昂分析成本，提出了一种基于自适应空间映射的多可信度建模方法.根据分析模型中天线桁架与索网组合结构的连接关系，将网状天线分析模型划分为高、低可信度模型.通过空间映射矩阵，首先将高可信度样本映射至低可信度样本空间中，提升高低可信度分析之间的相关性；其次根据映射后的高可信度样本与低可信度样本建立多可信度模型；最后将其应用于网状天线中.相比于传统的多可信度模型，在具有空间偏差的测试函数上，基于空间映射的多可信度模型平均成功率提高了47.3%.在网状天线形态机电集成优化设计应用案例中，与传统粒子群优化（Particle Swarm Optimization，PSO）相比，在保持相同计算成本的情况下，所提方法优化结果的天线增益平均提升0.515 dB，与利用原始多可信度模型优化相比，优化效果平均提升0.321 dB.通过数值实验和网状天线的形态机电集成优化设计应用测试，验证了该方法的有效性.

Abstract

To reduce the high analysis costs associated with the integrated structural electromagnetic optimization design of mesh antennas

a multi-fidelity method based on adaptive space mapping has been proposed. Based on the connection relationships between the cable and trusses

the analysis models of mesh antennas are classified into high-fidelity and low-fidelity. By using a space mapping matrix

high-fidelity samples are mapping to the space of low-fidelity

thereby enhancing the correlation between high and low fidelity analyses. Subsequently

a multi-fidelity model is established using the low-fidelity samples and mapped high-fidelity. Finally

apply it to mesh antennas. Compared to traditional multi-fidelity models

the multi-fidelity model based on space mapping achieved an average success rate increase of 47.3% on test functions with space biases. In the application case of form design for mesh antennas

compare to the traditional partical swarm optimization (PSO)

the optimization results have been improved by an average of 0.515 dB while maintaining the same cost. Furthermore

compared to optimizations using the traditional multi-fidelity model

the optimization result improved by an average of 0.321 dB. The effectiveness of this method has been validated through numerical experiments and practical application of integrated structural electromagnetic optimization design of mesh antennas.

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references

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