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1.西安理工大学 自动化与信息工程学院,陕西 西安 710048
2.西安高新技术研究所,陕西 西安 710000
Received:20 April 2022,
Revised:23 May 2022,
Published:25 July 2022
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杨松楠,张晓晖,刘媛媛等.用于磁屏蔽室屏蔽叠层优化的CSA-NSGAII算法[J].光学精密工程,2022,30(14):1749-1763.
YANG Songnan,ZHANG Xiaohui,LIU Yuanyuan,et al.CSA-NSGAII algorithm for magnetically shielded room shield lamination optimization[J].Optics and Precision Engineering,2022,30(14):1749-1763.
杨松楠,张晓晖,刘媛媛等.用于磁屏蔽室屏蔽叠层优化的CSA-NSGAII算法[J].光学精密工程,2022,30(14):1749-1763. DOI: 10.37188/OPE.20223014.1749.
YANG Songnan,ZHANG Xiaohui,LIU Yuanyuan,et al.CSA-NSGAII algorithm for magnetically shielded room shield lamination optimization[J].Optics and Precision Engineering,2022,30(14):1749-1763. DOI: 10.37188/OPE.20223014.1749.
为提高多层磁屏蔽室的屏蔽性能,进一步降低磁屏蔽室的建造成本,本文将磁屏蔽叠层结构优化视为多目标函数优化问题,在可行的建造成本与建造质量构成的约束下,提出一种分段交叉策略与自适应变异算子改进NSGAII算法(CSA-NSGAII),对屏蔽叠层结构参数进行优化。CSA-NSGAII算法解决了NSGAII算法种群收敛分布不均匀,全局搜索能力差和容易陷入局部最优等问题,从而能够获得屏蔽室最优叠层结构。与NSGAII算法、NSGAII-SDR、g-NSGAII和MOEA/D算法相比,CSA-NSGAII的GD、IGD与Spacing等指标均有显著提升,说明本文提出的CSA-NSGAII算法收敛性能更好,种群分布更均匀。实验结果表明:经优化后的叠层结构在屏蔽性能不变的情况下平均能够节省约14%的建造成本,并在干扰幅值为32 000 nT,频率为1 Hz的亥姆霍兹线圈中,实现约70 dB的屏蔽性能。
To improve the shielding performance of a multilayer magnetically shielded structure and to further reduce the construction cost of a magnetically shielded room, this study proposes to treat the magnetically shielded structure as a multi-objective function optimization problem, and to optimize the parameters of the shielded lamination structure using the non-dominated sorting genetic algorithm-II (NSGAII) under the constraints of feasible construction cost and quality construction composition. In this study, the NSGAII algorithm is improved using a segmental crossover strategy with an adaptive variation operator called CSA-NSGAII to solve the problems of the traditional NSGAII algorithm of uneven population convergence distribution, poor global search ability, and easily falling into a local optimum. Compared with the original NSGAII algorithm, NSGAII-SDR, g-NSGAII, and MOEA/D algorithms, the CSA-NSGAII is beneficial in GD, IGD, and spacing, indicating that the proposed CSA-NSGAII algorithm achieves improved convergence performance and a more uniform population distribution. By applying the algorithm proposed in this paper to the multi-objective optimization design problem of the magnetic shielding structure, the experimental results show that the optimized stacked structure can, on average, save approximately 14% of the construction costs while achieving the same shielding performance, and can achieve approximately 70 dB of shielding performance in a Helmholtz coil with an interference amplitude of 32 000 nT and frequency of 1 Hz.
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