International Journal of Antennas and Propagation最新文献_第4页

Identification of Control Parameters Using Taguchi Method for Hybrid Real-Binary Differential Evolution Algorithm and Its Applications in Electromagnetic Optimization 使用田口方法确定混合实数-二进制差分进化算法的控制参数及其在电磁优化中的应用

IF 1.5 4区计算机科学 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Antennas and Propagation

Pub Date : 2023-12-22 DOI: 10.1155/2023/5171453

Wenchao Du, Jianhui Wang, Ruidong Wang, Xingning Jia, Guoche Qin, Chunshu Li

The hybrid real-binary differential evolution (HDE) algorithm has been proficient in addressing electromagnetic optimization problems (EOPs) involving both real and binary variables. However, its optimization performance on different control parameter (CP) settings is not further studied, and the method to determine the values of CPs is more likely to use the trial-and-error method, which lacks universality on both unimodal and multimodal benchmarks. To completely account for the effect of CPs in HDE, the Taguchi method is utilized to identify the values of each CP. The orthogonal experiment result is the average rank of the mean values of 23 benchmark functions obtained by HDE and other classic optimization algorithms. Based on the analysis of variance results, three CPs that have a major effect on the performance of HDE are selected, and each of them is changed from level 1 to level 5 to further obtain the best combination of CPs, which is indicated as HDEN1. To further enhance the local search ability of HDEN1 for the global best, a modified algorithm (HDEN2) is proposed based on a novel mutation strategy selection method, and the simulation results demonstrate that the minimum values obtained by HDEN2 are smaller than those obtained by HDEN1. Two EOPs, including planar microwave absorber and Yagi-Uda antenna designs, are solved to validate the performance of HDEN1 and HDEN2. The results reveal that the HDEN1 and HDEN2 outperform HDE, demonstrating the efficacy of the proposed method for identifying the CPs of HDE. In the end, a low profile and wideband RCS reduction pixelated checkboard metasurface is optimized utilizing the HDEN2, proving that the proposed algorithm can be a good candidate for hybrid real-binary electromagnetic problems.

实变-二进制混合微分进化算法（HDE）在解决涉及实变和二进制变量的电磁优化问题（EOP）方面表现出色。然而，该算法在不同控制参数（CP）设置下的优化性能尚未得到进一步研究，而且确定 CP 值的方法更倾向于使用试错法，这在单模态和多模态基准上都缺乏普遍性。为了全面考虑 CP 在 HDE 中的影响，采用田口方法来确定每个 CP 的值。正交实验结果是 HDE 和其他经典优化算法获得的 23 个基准函数平均值的平均等级。根据方差分析结果，选出了对 HDE 性能影响较大的三个 CP，并将每个 CP 从第 1 级变为第 5 级，以进一步获得最佳的 CP 组合，即 HDEN1。为了进一步提高 HDEN1 对全局最优的局部搜索能力，提出了一种基于新型突变策略选择方法的改进算法（HDEN2），仿真结果表明，HDEN2 得到的最小值小于 HDEN1 得到的最小值。为了验证 HDEN1 和 HDEN2 的性能，对两个 EOP（包括平面微波吸收器和 Yagi-Uda 天线设计）进行了求解。结果表明，HDEN1 和 HDEN2 的性能优于 HDE，证明了所提方法在识别 HDE CPs 方面的有效性。最后，利用 HDEN2 优化了一个低剖面、宽带 RCS 降低像素化棋盘元面，证明所提算法可以很好地适用于实二值混合电磁问题。

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