基于区域分解法和粒子群优化算法的天线优化研究

发布时间：2018-05-04 23:20

本文选题：积分方程方法 + 区域分解法　；参考：《电子科技大学》2015年硕士论文

【摘要】：计算电磁学在当今工程界和学术界的诸多领域都有广泛应用,对目标的电磁特性分析效率也越来越值得关注。随着微波技术水平的不断提升,实际工程对电磁分析计算方法提出了更高的要求,不仅需要求解包含复杂结构的电大尺寸目标,还要能够对多尺度目标进行高效电磁建模分析。本文主要研究积分方程区域分解法结合粒子群优化算法在天线优化设计中的应用。系统阐述了积分方程区域分解法原理,特别是使用非共型网格对复杂目标电磁特性进行快速正演计算。区域分解法基于分而治之的思想将待求目标整体分割为若干闭合子区域,先对子区域进行求解,再通过迭代计入区域之间的耦合,最终获得正确的数值结果。此外,将上述方法与粒子群优化算法结合,完成了简化载机结构电磁隐身和天线布局设计。本文首先介绍了优化算法相关基础,特别是智能优化算法的优越性概述。进一步详细阐述了粒子群优化算法的算法原理、结构及性能提升技术,为将其应用到复杂电磁场问题的优化设计打下基础。然后研究了积分方程区域分解法的原理及实现方法。在积分方程矩量法的基础上推导区域分解求解公式,子区域独立地使用一定尺寸的网格剖分,区域内迭代快速收敛,灵活控制网格剖分尺度。使用传输条件连接不同子区域,保证分解后目标电磁特性与原问题一致。突破传统方法对交界面共形的要求,使用非共形接触面处理技术,完成非共形的积分方程区域分解方法,再运用投影接触面判断法,这使得目标的几何建模具有极高的灵活性。最后将粒子群优化算法与积分方程区域分解法相结合,将其用于简化载机结构电磁隐身优化设计和天线布局中,优化过程中避免重复几何剖分,在保证计算精度的情况下,大大提高了复杂多尺度目标的电磁优化效率。
[Abstract]:Computational electromagnetics is widely used in many fields of engineering and academia, and the efficiency of analyzing electromagnetic characteristics of target is more and more worthy of attention. With the continuous improvement of microwave technology, practical engineering has put forward higher requirements for electromagnetic analysis and calculation methods. It is necessary not only to solve electrically large size targets with complex structures, but also to be able to carry out efficient electromagnetic modeling and analysis of multi-scale targets. In this paper, the application of domain decomposition of integral equations and particle swarm optimization in antenna optimization design is studied. The principle of domain decomposition method for integral equations is systematically described, especially the fast forward calculation of electromagnetic characteristics of complex targets using non-conformal meshes. Based on the idea of divide-and-conquer, the domain decomposition method divides the whole target into several closed subregions. The subregions are solved first, and then the correct numerical results are obtained by iterating into the coupling between the regions. In addition, the above method is combined with particle swarm optimization algorithm to complete the design of simplified electromagnetic stealth and antenna layout. This paper first introduces the basis of optimization algorithm, especially the advantages of intelligent optimization algorithm. The principle, structure and performance improvement of particle swarm optimization (PSO) algorithm are described in detail, which lays a foundation for the application of PSO to the optimization design of complex electromagnetic field problems. Then, the principle and implementation of the domain decomposition method for integral equations are studied. Based on the method of moment of integral equation, the solution formula of domain decomposition is derived. The subregion uses meshes of certain size independently, the iteration in the region converges rapidly, and the meshing scale is controlled flexibly. The transmission conditions are used to connect different subregions to ensure that the electromagnetic characteristics of the decomposed target are consistent with the original problem. In order to break through the requirements of traditional methods for conformal interface, the non-conformal contact surface processing technique is used to complete the domain decomposition method of non-conformal integral equations, and then the projection contact surface judgment method is used, which makes the geometric modeling of the target have a high flexibility. Finally, the particle swarm optimization algorithm is combined with the integral equation domain decomposition method, which is used to simplify the electromagnetic stealth optimization design and antenna layout of the carrier structure. In the process of optimization, repeated geometric subsections are avoided, and the calculation accuracy is guaranteed. The electromagnetic optimization efficiency of complex multi-scale targets is greatly improved.
【学位授予单位】：电子科技大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TN820;TP18

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