赋形反射面天线的约束多目标优化设计研究  

Constrained multi-objective optimization design study of shaped reflector antenna

作　　者：杨承坤 王九灵 杨小凤 杨旋 郭庆功[1] YANG Cheng-Kun;WANG Jiu-Ling;YANG Xiao-Feng;YANG Xuan;GUO Qing-Gong(College of Electronics and Information Engineering,Sichuan University,Chengdu 610065,China;China Thunder Information Technology Co.,Ltd,Nanjing 210023,China)

机构地区：[1]四川大学电子信息学院,成都610065 [2]南京雷电信息技术有限公司,南京210023

出　　处：《四川大学学报（自然科学版）》2024年第4期214-224,共11页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(62071316)。

摘　　要：赋形反射面天线通常使用单目标优化算法进行设计,当期望波束特性具有多个相互冲突的目标和约束限制时,将无法确保输出最优解.为此,提出了该类天线的约束多目标优化方法 .基于有希望区域优化和自适应约束位移密度估计的思想,设计一种新型双种群协同进化约束多目标优化算法DPBE,在基准测试套件与其他3种主流算法的对比表明,该算法具备更强的全局寻优性与稳定性.将该算法应用于19~21 GHz单偏置抛物反射面天线的平顶波束赋形中,并与单目标优化算法IWO和多目标优化算法NSGA-II-DE在同型初始天线的不同优化模型下进行了性能对比,发现所提方法能在单次运行中满足所有约束条件并取得最佳结果 .The design of shaped reflector antennas typically employs single-objective optimization algorithms.However,when the desired beam characteristics involve multiple conflicting objectives and constraints,it becomes challenging to guarantee the attainment of the optimal solution.To address this issue,a constrained multi-objective optimization approach is proposed for the design challenges associated with such antennas.The novel dual-population cooperative evolution constrained multi-objective optimization algorithm,DPBE,is designed by incorporating the principles of promising area optimization and adaptive constraint shift-based density estimation.The proposed algorithm demonstrates exceptional global optimization performance and stability,as evidenced by comparative experiments on benchmark test suites.Specifically,the DPBE is applied to the flat-top beam shaping of a 19~21 GHz single-offset parabolic reflector antenna.The performance comparisons were conducted using the single-objective optimization algorithm IWO and the multi-objective optimization algorithm NSGA-II-DE,considering different optimization models for an identical initial antenna.The results demonstrate that the proposed method successfully fulfills all constraints and attains optimal outcomes in a single execution.

关 键 词：赋形波束 反射面天线 约束多目标优化 协同进化 平顶波束 

分 类 号：TN820[电子电信—信息与通信工程] TP18[自动化与计算机技术—控制理论与控制工程]