解角器結構比光學與磁性角度編碼器簡單，更能承受高溫環境與訊號干擾，被廣泛應用於較惡劣的工作環境，在航太、交通運輸及軍事領域之應用有不可取代的地位。傳統繞線轉子解角器精度高，但繞線結構複雜，製造及裝配需求高。磁阻型解角器因無轉子線圈，製造難度及成本低，機械結構堅固，使用壽命自然較長，近來大量應用於新能源汽車驅動電機之轉子位置反饋。
本論文針對雙極式磁阻型解角器進行詳細探討，首先分析解角器基本工作原理，建立整體磁路設計流程，並以商用磁阻型解角器為分析範例進行驗證。在確定基本幾何尺寸及材料性質後，使用電腦輔助工程分析軟體模擬定子齒槽結構、轉子凸極結構、激磁線圈與感應線圈繞線方式等，並設計及建立解角之數位訊號轉換器模型，解分析兩相感應電壓波形之包絡線與即時角度位置。其次討論此類型解角器結構、裝配以及轉速等因子對輸出訊號的影響，採用參數優化法降低系統諧波干擾，期望達成提升角度感測精度之目標。最後搭建解角器實驗測試平台，量測並分析兩相感應電壓訊號與解算結果，驗證模擬設計之可行性，旨在建立一套磁阻型解角器優化設計與分析之流程，為今後產品研發提供系統化之參考依據。

Since resolver is simple in structure compared to optical and magnetic type encoders, it has been widely used in harsh environments such as aerospace, transportation and military products with extra high-tolerance in electromagnetic interferences. Conventional wound-rotor type resolvers exhibit precision in angle measurement but more complex structure resulting in higher costs in manufacture and assembly. On the contrary, variable reluctance resolvers are low in manufacture costs plus services in longer life-span due to the simple and compact structure.
The objectives of this thesis are to design and analyze the two-pole type variable reluctance resolver employed for angle feedback in electric motors used for green-energy vehicles. First, the model of variable reluctance resolver and associated Resolver to Digital Converter are established by commercial simulation tools so that real-time rotor angle can be resolved with the use of two-phase induced-voltage sinusoids. Then, the prominent factors in geometry, assembly and the range of operational speed are discussed and optimized with design tools to improve the measurement accuracy in angle of the variable reluctance resolver. Finally, an experimental test bench was built to verify the VR resolver for simulations and analysis in voltage, demodulation and decoding of the sample VR resolver.
In the thesis study, a systematic design method with theoretical analysis and design parameter optimization can explore the fundamental theory in VR resolver and provide prominent references for industrial development of same type of products.

摘 要 I
Abstract II
目錄 III
圖目錄 V
表目錄 VIII
符號文字對照表 IX
第一章 簡介 1
1-1研究背景 1
1-2研究目的 3
1-3文獻回顧 4
1-3-1電氣規格 4
1-3-2誤差分析 6
1-3-3安裝偏心影響 9
第二章 基礎理論介紹 16
2-1前言 16
2-2基礎電磁場理論 16
2-3磁阻型解角器理論 19
2-4訊號解調理論 23
2-5解角數位轉換器理論 24
第三章 理論設計與分析 30
3-1前言 30
3-2結構設計 30
3-2-1主要尺寸 31
3-2-2轉子外形 33
3-2-3線圈設計 35
3-3電磁設計 36
3-3-1磁通計算 37
3-3-2磁密計算 37
3-3-3磁動勢計算 38
3-3-4性能核算 39
3-4電磁分析 40
3-4-1電磁模擬分析軟體介紹 41
3-4-2分析用解角器 41
3-4-3靜磁場分析 42
第四章 設計與模擬分析 52
4-1前言 52
4-2解角器暫態模擬分析 52
4-3解碼器設計與模擬分析 53
4-4解角器結構因素分析 54
4-4-1線圈位置分析 54
4-4-2轉子外形分析 56
4-5解角器裝配因素分析 57
4-5-1線圈方向影響 57
4-5-2偏心影響 58
4-6轉速影響分析 59
第五章 實驗驗證與結果 74
5-1實驗驗證之解角器 74
5-2解角數位轉換器 74
5-3實驗系統介紹與架設 75
5-4解角器性能量測與分析 76
第六章 結果與討論 84
6-1結論 84
6-2未來工作 86
參考文獻 89

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