Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna

doi:10.21629/JSEE.2019.01.03

Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (1): 22-29.doi: 10.21629/JSEE.2019.01.03

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Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna

Peiyuan LIAN¹(), Congsi WANG^1,*(), Binbin XIANG²(), Yu SHI³(), Song XUE¹()

¹ School of Mechano-Electronic Engineering, Xidian University, Xi'an 710071, China
² Xinjiang Astronomical Observation, Chinese Academy of Sciences, Urumqi 830011, China
³ Department of Mechanical Engineering, Thornton Science Park, University of Chester, Chester CH1 4BJ, U.K

Received:2017-11-01 Online:2019-02-27 Published:2019-02-26
Contact: Congsi WANG E-mail:lian100fen@126.com;congsiwang@163.com;xiangbinbin@xao.ac.cn;y.shi@chester.ac.uk;sxue@xidian.edu.cn
About author:LIAN Peiyuan was born in 1989. He received his B.S. and Ph.D. degrees in School of MechanoElectronic Engineering, Xidian University, Xi'an, China, in 2011 and 2017, respectively. He is currently a lecturer with School of MechanoElectronic Engineering, Xidian University. His current major research interests are structuralelectromagnetic analysis, optimization design, and thermal analysis of large reflector antennas and array antennas. E-mail:lian100fen@126.com|WANG Congsi was born in 1980. He received his B.S., M.S. and Ph.D. degrees in electromechanical engineering from Xidian University, Xi'an, China, in 2001, 2004, and 2007, respectively. He is currently a professor of electromechanical engineering at the Key Laboratory of Electronic Equipment Structure of Ministry of Education, vice director of Institute of Mechatronics, and vice president of School of Mechano-Electronic Engineering, Xidian University. From 2009 to 2011, he served as a postdoctoral fellow at Nanjing Research Institute of Electronics Technology, Nanjing, China. From 2012 to 2013, he is a visiting scholar at University of California, Berkeley. His research interests are primarily in the area of electromechanical coupling of electronic equipment with emphasis on the modeling, influencing mechanism, design and application of structural-electromagnetic-thermal coupling of antennas including phased array antennas, reflector antennas, and deployable antennas. E-mail:congsiwang@163.com|XIANG Binbin was born in 1986. He received his B.S. and M.S. degrees from Xidian University, Xi'an, China, in 2008 and 2012, respectively. Since 2012, he has been with the Xinjiang Astronomical Observation, Chinese Academy of Sciences, Urumqi, China. He is currently pursuing his Ph.D. degree at the School of Mechanical-Electrical Engineering, Xidian University. His major research interests include integrated structural-electromagnetic analysis and structure optimization design of reflector antennas. E-mail:xiangbinbin@xao.ac.cn|SHI Yu was born in 1984. He is currently a senior lecturer in mechanical engineering at the University of Chester and leads the Chester Smart Composite Group. He has research interests and experience in simulation and non-destructive damage investigation of composites, lamb wave propagation in composites, and integration of composites for energy harvesting. He received his Ph.D. degree from the University of Sheffield and then joined the Energy Harvesting Group at the University of Exeter as a research fellow. Following that, he worked for Advanced Forming Research Centre to model metal work piece forming/forging process for project from Rolls Royce. E-mail:y.shi@chester.ac.uk|XUE Song was born in 1986. He completed his B.S. degree from Hefei University of Technology in 2009, his M.S. degree from Dalian University of Technology, China in 2012 and in 2016, and his Ph.D. degree from Curtin University, Australia, in the area of condition monitoring of the mechanical system. In 2018, he was appointed as a lecturer in the School of Mechano-Electronic Engineering, Xidian University, Xi'an, China. His current academic and research interest are the modelling and signal processing for the system fault detection as well as mechatronics system reliability analysis. E-mail:sxue@xidian.edu.cn
Supported by:
the National Natural Science Foundation of China(51805399);the Fundamental Research Funds for the Central Universities(JB180403);the Chinese Academy of Sciences (CAS) pLight of West Chinaq Program(2017-XBQNXZ-B-024);the National Basic Research Program of China (973 Program)(2015CB857100);the Operation, Maintenance and Upgrading Fund for Astronomical Telescopes and Facility Instruments, budgeted from the Ministry of Finance of China (MOF) and administrated by the CAS;This work was supported by the National Natural Science Foundation of China (51805399), the Fundamental Research Funds for the Central Universities (JB180403), the Chinese Academy of Sciences (CAS) pLight of West Chinaq Program (2017-XBQNXZ-B-024), the National Basic Research Program of China (973 Program) (2015CB857100), and the Operation, Maintenance and Upgrading Fund for Astronomical Telescopes and Facility Instruments, budgeted from the Ministry of Finance of China (MOF) and administrated by the CAS

Abstract

Abstract:

A gradient-based optimization method for producing a contoured beam by using a single-fed reflector antenna is presented. First, a quick and accurate pattern approximation formula based on physical optics (PO) is adopted to calculate the gradients of the directivity with respect to reflectoros nodal displacements. Because the approximation formula is a linear function of nodal displacements, the gradient can be easily derived. Then, the method of the steepest descent is adopted, and an optimization iteration procedure is proposed. The iteration procedure includes two loops: an inner loop and an outer loop. In the inner loop, the gradient and pattern are calculated by matrix operation, which is very fast by using the pre-calculated data in the outer loop. In the outer loop, the ideal terms used in the inner loop to calculate the gradient and pattern are updated, and the real pattern is calculated by the PO method. Due to the high approximation accuracy, when the outer loop is performed once, the inner loop can be performed many times, which will save much time because the integration is replaced by matrix operation. In the end, a contoured beam covering the continental United States (CONUS) is designed, and simulation results show the effectiveness of the proposed algorithm.

Key words: reflector antennas, single feed, contoured beam, gradient-based optimization method

Peiyuan LIAN, Congsi WANG, Binbin XIANG, Yu SHI, Song XUE. Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna[J]. Journal of Systems Engineering and Electronics, 2019, 30(1): 22-29.

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Gradient-based optimization method for producing a contoured beam with single-fed reflector antenna

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