本論文討論的重點有二。第一部分是對平面型變壓器以及其相關應用電路的設計做完整介紹，針對平面型變壓器混合模態散射參數及其對地效應做討論，並建立物理模型。第二部份則為了實現高效率變壓器研發出新纏繞方法，讓變壓器具有任意圈數比並能應用在功率分配器及相位移上。特別是蜂巢型功率分配架構是本論文創新的設計，使得以平面型變壓器為基礎的各類型被動元件可以廣泛地實現於積體化被動元件製程。其中，本論文提出高效率巴倫器的設計流程，首先針對負載阻抗設計在操作頻帶內高品質因子的變壓器，再讓不平衡訊號之參考接地設在平衡訊號之虛擬接地軸線上，並搭配適度的阻抗匹配電路，即可完成性能優良的巴倫器設計。

This thesis is mainly composed of two parts. The first part is to introduce the planar transformer-based circuits and their applications. The mixed-mode S parameters and the grounding effects for planar transformers are discussed. A physical model has been developed for modeling the planar transformers. In the second part, a new coil winding technique for planar transformers has been presented to realize a high-efficiency planar transformer with arbitrary turn ratio for power-split/combine and phase-shift applications. Especially, the power-split/combine architecture based on a planar transformer of cellular shape is first presented in this thesis, enabling various kinds of passive components to be widely realized using the integrated passive device processes. As an example, this thesis proposes a design procedure for high-efficiency balun component. Firstly, design a high Q transformer that considers the load impedance effects. Secondly, design the ground reference for un-balanced signal on the virtual ground symmetry axis for balanced signals. Thirdly, design impedance matching networks for minimizing un-balanced and balanced port return losses. Then, a high performance planar transformer-based balun design can be done.

目錄..............................................................................................I
圖目錄.......................................................................................III
表目錄.......................................................................................VI
第一章 緒論................................................................................1
1.1 背景簡介...............................................................................1
1.2 研究動機...............................................................................2
1.3 積體化被動式元件製程結構簡介.......................................2
1.4 以變壓器為基礎之被動式元件沿革...................................4
1.5 章節介紹...............................................................................4
第二章 平面型變壓器基本原理及應用電路介紹....................5
2.1 理想變壓器...........................................................................5
2.2 耦合電感器組成變壓器方法...............................................6
2.3 耦合電感器等效電路...........................................................7
2.4 平面型變壓器設計...............................................................9
2.5 以平面型變壓器為基礎之被動元件設計.........................12
2.5.1巴倫器...............................................................................13
2.5.2 功率結合電路..................................................................14
2.5.3 帶通濾波器......................................................................16
2.6 平面型變壓器的重要參數.................................................17
第三章 平面型變壓器電性分析與等效電路模型化..............20
3.1 混合模態散射參數分析.....................................................20
3.1.1 差動式電路設計概念......................................................20
3.1.2 平衡性參數及性能評估..................................................22
3.2 接地效應探討.....................................................................31
3.2.1 接地方式對平衡式元件的影響......................................31
3.2.2 接地效應對植入損耗的影響..........................................35
3.3 等效電路模型.....................................................................37
第四章 平面型變壓器為基礎之積體化被動元件設計..........47
4.1 圈數比與功率分配.............................................................47
4.1.1 任意圈數比平面型變壓器設計方法與比較..................47
4.1.2 平面型變壓器為基礎之功率分配器設計方法..............53
4.2應用實例..............................................................................56
4.2.1 八邊形變壓器..................................................................56
4.2.2 八邊形巴倫器..................................................................62
4.2.3 六邊形功率分配器..........................................................65
4.2.4 不同功率結合電路設計與比較......................................69
4.2.5 四埠功率分配器..............................................................73
第五章 結論..............................................................................75
參考文獻...................................................................................76

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