X波段微带余割平方扩展波束天线阵赋形优化遗传算法研究

张金玲; 万文钢; 郑占奇; 甘曦; 朱兴宇

doi:10.7498/aps.64.110504

摘要

提出了一种改进型自适应遗传算法, 该算法用logistic函数拟合交叉概率和变异概率, 以赌轮盘选择和精英保留相结合的方式, 在全局寻找最优解. 与经典遗传算法相比, 改进型自适应遗传算法可以大大提高算法的求解质量. 本文基于改进的自适应遗传算法研究设计了-3 dB范围为0°-12°, -10 dB波束宽度为65°, 波束覆盖为65°, 天线频带范围为8.5-9.8 GHz, 中心频率为9.05 GHz的X波段微带余割平方扩展波束天线阵. 研究结果表明改进型自适应遗传算法对方向图的拟合程度具有较大提高, 适应度值可以从0.07以下提升到0.09以上.

关键词:

Abstract

Synthesis of desired radiation patterns without an optimization algorithm is usually time consuming and inefficient. To achieve a desired radiation pattern such as cosecant squared beam and contoured beam, different evolutionary algorithms such as genetic algorithm (GA), particle swarm optimization algorithm, and invasive weed optimization algorithm have been used to find the excitation of radiation elements. Adaptive genetic algorithm (AGA) optimizer is a robust, stochastic search method, modeled on the principles and concepts of natural selection and evolution. As an optimizer, the powerful heuristic of the AGA is effective for solving complex and related problems. An improved AGA is proposed, in allusion to the characteristics of optimizing designs of antenna arrays which have many parameters and complicated structures. This algorithm constructs an adjustble formula to produce the crossover rate and mutation rate based on a logistic curve equation. In the way of combining roulette wheel selection and elitist strategy, this algorithm searches for the optimal solution in the global space, and is compared with the classical GA; the improved AGA has a better performance in seeking the solution. Taking the mutual coupling between the elements into account, we design the X band extended cosecant squared beam micro-strip antenna arrays based on the improved AGA. Specifications of the antenna are as follows:a -3 dB beam width in height is from 0° to 12°, a -10 dB beam width in height is from 12° to 65°, and a total height coverage is 65°; a frequency band ranges from 8.5 to 9.8 GHz and its center frequency is 9.05 GHz. Simulation results show that the fitness increases from 0.07 to 0.09, and the quality of the synthesized radiation pattern has a great improvement, which verifies the superiority of the improved AGA proposed in this paper. In addition, the prospect of the designed antenna which has an extended cosecant squared beam is promising in air-surveillance radar systems, where the radiation pattern of the antenna will compensate for the free-space loss.

Keywords:

作者及机构信息

1.
北京邮电大学电子工程学院, 北京 100876;

2.
中国科学研究院微电子研究所, 北京 100029

基金项目: 国家自然科学基金(批准号:61171051)和北京市自然科学基金和北京市教育委员会科技计划重点项目(批准号:KZ201310028032)资助的课题.

Authors and contacts

1.
School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China;

2.
Institute of Microelectronics of Chinese Academy of Sciences, Beijing 100029, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61171051), and the Scientific Research Project of Beijing Municipal Commission of Education and Beijing Natural Science Foundation, China (Grant No. KZ201310028032).

参考文献

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施引文献

[1]	Foudazi A, Mallahzadeh A R 2012 IET Microw. Antennas Propag. 6 1583
[2]	Ares-Pena F J, Rodriguez-Gonzalez J A, Villanueva-Lopez E, Rengarajan S R 1999 IEEE Trans. Antennas Propag. 47 506
[3]	Kurup D G, Himdi M, Rydberg A 2003 IEEE Trans. Antennas Propag. 51 2210
[4]	Zaman F, Qureshi I M, Munir F, Khan Z U 2014 Chin. Phys. B 23 078402
[5]	Sharaqa A, Dib N 2013 IET Microw. Antennas Propag. 7 452
[6]	Xu J, Li Z L, Chen R S 2014 Int. J. RF and Microwave CAE 24 360
[7]	Pirhadi A, Rahmani M H, Mallahzadeh A 2014 IET Microw. Antennas Propag. 8 549
[8]	Dastranj A, Abiri H, Mallahzadeh A 2013 IEEE Trans. Antennas Propag. 61 3895
[9]	Zornoza J A, Leberer R, A. Encinar J, Menzel W 2006 IEEE Trans. Antennas Propag. 54 510
[10]	Johnson J M, Rahmat-Samii Y 1997 IEEE Antennas Propag. Mag. 39 7
[11]	Weile D S, Michielssen E 1997 IEEE Trans. Antennas Propag. 45 343
[12]	Chang H W, Ma H, Zhang J Q, Zhang Z Y, Xu Z, Wang J F, Qu S B 2014 Acta Phys. Sin. 63 087804 (in Chinese) [常红伟, 马华, 张介秋, 张志远, 徐卓, 王甲富, 屈绍波 2014 物理学报 63 087804]
[13]	Mohammed O A, ler G F 1997 IEEE Trans. Magn. 33 1931
[14]	Lee D, Lee S, Kim J W, Lee C G, Jung S Y 2011 IEEE Trans. Magn. 47 1230
[15]	Jolly L, Jabbar M A, Liu Q H 2005 IEEE Trans. Magn. 41 3928
[16]	Cho D H, Kim J K, Jung H K, Lee C G 2003 IEEE Trans. Magn. 39 1265
[17]	Deb K, Pratap A, Agarwal S, Meyarivan T 2002 IEEE Trans. Evol. Comput. 6 182
[18]	Chen Z G, Wang J G, Wang Y, Qiao H L, Guo W J, Zhang D H 2013 Acta Phys. Sin. 62 168402 (in Chinese) [陈再高, 王建国, 王玥, 乔海亮, 郭伟杰, 张殿辉 2013 物理学报 62 168402]
[19]	Zhong H L, Wu F G, Yao L N 2006 Acta Phys. Sin. 55 275 (in Chinese) [钟会林, 吴福根, 姚立宁 2006 物理学报 55 275]
[20]	Yan K K, Lu Y L 1997 IEEE Trans. Antennas Propag. 45 1117
[21]	Haupt R L 2008 IEEE Trans. Antennas Propag. 56 266
[22]	Son S H, Jeon S I, Kim C J, Hwang W 2010 IEEE Trans. Antennas Propag. 58 1527
[23]	Shin D H, Kim K B, Kim J G, Park S O 2014 IEEE Antennas Wirel. Propag. Lett. 13 738
[24]	Zhao Y, Xu X, Zhao Y, Chu X N 2014 Comput. Technol. Dev. 24 63 (in Chinese) [赵越, 徐鑫, 赵炎, 初雪宁 2014 计算机技术与发展 24 63]

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