空间映射法及其应用（续）  

Space-Mapping and Its Application

作　　者：丁阳[1] 

机构地区：[1]西安电子科技大学电子信息工程系,西安710071

出　　处：《测控与通信》2010年第1期29-36,共8页

摘　　要：空间映射法是一种快捷有效的优化方法，已经被成功应用于电磁学领域。该方法在粗糙模型（如电路等计算速度快但精确度不足的模型）和精确模型（如全波仿真等精度高但耗时长的模型）之间建立一个映射关系，其核心思想是把精确模型的计算代价转移到快速计算的粗糙模型上，以实现快速优化。首先阐述了空间映射法的基本概念，详细介绍了空间映射法的实施算法。文中主要描述了五种空间映射算法，包括原始、渐进、置信区间渐进、隐式和神经空间映射算法。然后详细介绍了该方法中参数提取的多种实现方法，其中两种算法的对比结果说明参数提取对空间映射法收敛速度有很大影响。其次应用空间映射法对使用较为广泛的八木天线进行了优化设计，其中粗糙模型和精细模型分别采用粗网格剖分和细网格剖分的矩量法。运用标准电磁仿真软件FEKO对空间映射算法得到的优化结果进行了验证，结果表明空间映射法的优化结果满足了设计要求。空间映射法是一种快速的天线优化设计方法，该方法可使复杂天线优化设计问题的解决成为可能。As a kind of fast and efficient optimization approaches, space mapping has been successfully applied to electromanetics field. In the approach, a mapping between the coarse model （i.e. the model with rapid computation but low precision, e.g. circuit model） and the fine model （i.e. the model with high precision but long consuming time, e.g. full-wave simulation） needs to be established, and its core idea is to transfer the computation cost of the latter to that of the former for fast optimization. The thesis firstly presents the fundamentals of the space mapping algorithms and the corresponding implementations. Five algorithms such as the original space mapping algorithm, the Aggressive Space Mapping （ASM）, the Trust-Region Aggressive Spacing Mapping （TRASM）, the Implicit Space Mapping （ISM） and the Neural Space Mapping （NSM） are described in detail. Then, some methods for the parameter extraction in the space mapp^g algorithms are also introduced. Comparison between two parameter extraction methods shows that the method affects greatly the convergence rate of the space mapping algorithm. Finally, the ASM algorithm is used to optimize the Yagi antenna, a widely used antenna. In the algorithm, the moment of methods based on coarse and fine grids partition are adopted in the coarse and fine models respectively. FEKO, a commercial EM simulation sol, rare, is adopted to validate the space mapping algorithm. The obtained results indicate that the optimization results meet the design requirements, and the space mapping algorithm is a fast and efficient optimization method. The algorithm will make the solution of the complex antenna optimization design problems possible.

关 键 词：空间映射法 参数提取 遗传算法 八木天线 矩量法 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]