一種用於陣列天線場型合成之混合最佳化方法

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吳文淮(Wen-Huai Wu) 查詢紙本館藏

畢業系所

電機工程學系

論文名稱

一種用於陣列天線場型合成之混合最佳化方法
(A Hybrid Optimization Methodology for Pattern Synthesis of Phased Arrays)

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至系統瀏覽論文 (2028-12-27以後開放)

摘要(中)

本論文將會利用場型合成的概念以及演算法的應用將設計出天線陣列，第一部分會先使用拋物線方程式設計出一個波束寬為60度的寬波束天線場型，再使用最小平方法去將天線陣列的場型趨近於前面預設的理想天線場型來達到合成場型合成的目的。第二部分會先將天線陣列中各單元天線的遠場資料提出，轉移至程式中使用三種不同演算法的結合進行運算，有基因演算法、模擬退火法以及代理模型，並討論哪種演算法的結合可以有效的減少計算速度以及成功率，得出代理模型加上模擬退火法的速度會比單純使用代理模型的速度平均快46秒。第三部分會將設計好的天線陣列使用微帶線將饋電網路設計好並且實作。第四部分會介紹此方法可以達到天線陣列的任意場型，同時又擴大陣列的大小來增加天線陣列應用。

摘要(英)

This thesis utilizes the concept of pattern synthesis and algorithmic applications to design antenna array. In the first part, a wide-beam antenna pattern with a beamwidth of 60 degrees will be designed using parabolic equations. The minimum square error method is then employed to approach the ideal antenna pattern, thus achieving the goal of synthesizing the antenna pattern.

In the second part, the far-field data from individual antenna elements in the array is extracted and processed using three different algorithms: genetic algorithm, simulated annealing, and surrogate model. The effectiveness in reducing computation time and success rate of each algorithm combination is discussed. It is found that combining a surrogate model with simulated annealing results in an average speed improvement of 46 seconds compared to using the surrogate model alone.
In the third part, the designed antenna array is implemented with microstrip feed networks.

The fourth part introduces how this method can achieve arbitrary antenna patterns while simultaneously increasing the size of the array for expanded antenna array applications.

關鍵字(中)

★ 陣列
★ 演算法
★ 最佳化
★ 場型合成

關鍵字(英)

★ Array
★ Algorithm
★ Optimized
★ Pattern Synthesis

論文目次

摘要 I
ABSTRACT II
誌謝 IV
目錄 V
圖目錄 VII
表目錄 X
第一章緒論 1
1-1 研究動機 1
1-2 論文架構 4
第二章天線陣列理論 6
2-1 天線陣列理論 7
2-1-1 直線陣列 7
2-1-2 平面陣列 10
2-2 謝爾庫諾夫單位圓 12
2-3 去耦合元件 18
第三章演算法 19
3-1 演算法的用途 20
3-2 基因演算法 21
3-3 模擬退火法 29
3-4 代理模型 36
3-4-1 數據抽樣 38
3-4-2 建立代理模型 40
3-4-3 代理模型最佳化 47
3-5 演算法結合 58
第四章模擬與實作 59
4-1 直線天線陣列 60
4-2 平面天線陣列 76
4-3 實作 90
第五章結論與未來工作 97
5-1 任意方向場型 97
5-2 大型平面天線陣列 106
5-3 結論 112
參考文獻 113
附錄一 119
附錄二 120
附錄三 123
附錄四 130
附錄五 138
附錄六 150

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指導教授

歐陽良昱(Liang-Yu Ou Yang)

審核日期

2024-1-3

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