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研究生: 徐鈺涵
Hsu, Yu-Han
論文名稱: 步進馬達驅動晶片分析與馬達建模
Motor Drive IC Analysis and Modeling of Stepper Motor
指導教授: 蔡明祺
Tsai, Mi-Ching
共同指導教授: 謝旻甫
Hsieh, Min-Fu
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 電機工程學系
Department of Electrical Engineering
論文出版年: 2023
畢業學年度: 111
語文別: 中文
論文頁數: 74
中文關鍵詞: 步進馬達微步進驅動磁場調製定電流截波法
外文關鍵詞: Stepper motor, Microstepping drive, Flux modulation effect, Constant current chopping method
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  • 目前以位置控制為需求的馬達以伺服馬達與步進馬達為主要選擇,其中步進馬達以開迴路位置控制進行驅動,相較於伺服馬達,步進馬達控制更為簡單且能減少位置感測器成本。步進馬達的步進角與機構設計有關,在不回授電流的狀態下,僅能使用每次前進一步進角的全步驅動及前進半步進角的半步驅動,為了使步進馬達能有更小的旋轉角度,則採用微步進驅動,透過控制兩相電流大小以合成更精細的微步進角度。
    本研究建立 軸的步進馬達模型方塊圖,該模型以同步電氣角與轉子永磁電氣角分別闡述電流與反電動勢之角度關係,經由電流及磁交鏈推得馬達轉矩以連結馬達模型電氣端與機械端。另外透過磁場調製原理解釋步進馬達定子電樞與轉子永磁間的關係,以連結推導模型中的極對數與馬達設計的定子轉子齒部數量及定子電樞極對數。
    藉由MATLAB Simulink建立步進馬達模型,並模擬以定電流截波法控制電流的微步進驅動。將模擬電流波形與市售驅動晶片實測電流波形進行比對,並針對實測電流進行頻譜分析,可驗證微步進級數愈高,電流愈接近理想弦波。

    Servo motors and stepper motors are predominantly the best choice for applications requiring position control in recent time. Stepper motors are driven by open-loop position control, when compared to servo motors, stepper motors control is simpler and can effectively reduce the cost of position sensors. However, the rotational angle of a stepper motor is dependent on its mechanical design, and in the absence of feedback current, it can only be driven in full steps, moving one step angle at a time, or half steps, moving half of the step angle. To achieve smaller rotational angles, microstepping is used. Microstepping involves controlling the magnitude of two-phase currents to generate finer step angles.
    In this thesis, we have constructed a block diagram ?-? model of the stepper motor. This model elaborates on the angle relationship between the current and back electromotive force for both the synchronous electrical angle and rotor permanent magnet electrical angle. The motor torque is derived from the current and magnetic linkage, connecting the electrical and mechanical aspects of the motor model. Additionally, the relationship between the stator winding and rotor permanent magnet of the stepper motor is explained using flux modulation effect. This involves linking the pole pairs in the derived model to the number of stator teeth and rotor teeth in the motor design and the stator armature pole pairs.
    The stepper motor model is developed using MATLAB Simulink and implemented the microstepping drive with constant current chopping. By comparing the simulated current waveform with the measured current waveform obtained using commercially available driver chips and performing spectrum analysis on the measured current, it can be verified that higher microstepping levels are present in the current waveforms that closely resemble ideal sinusoidal waveforms.

    中文摘要 I Abstract II 誌謝 IX 目錄 XI 表目錄 XIII 圖目錄 XIV 符號表 XIX 第一章 緒論 1 1.1 研究背景 1 1.2 研究動機 2 1.3 文獻回顧 3 1.4 論文章節概要 7 第二章 步進馬達分類及驅動原理 9 2.1 步進馬達結構分類 9 2.1.1 可變磁阻型 9 2.1.2 永久磁鐵型 10 2.1.3 混合型 10 2.2 繞線方式 11 2.3 驅動方式 12 2.3.1 全步驅動 12 2.3.2 半步驅動 15 2.3.3 微步進驅動 16 2.4 步進馬達數學模型 17 2.4.1 步進馬達電壓及轉矩方程式 17 2.4.2 表貼式永磁同步馬達控制方塊圖 24 2.4.3 磁場調製效應 26 第三章 晶片分析及建模 33 3.1 晶片腳位及功能介紹 33 3.2 電流命令計算及電路分析 34 3.3 電流衰減模式 37 3.3.1 驅動模式 38 3.3.2 快衰減模式 39 3.3.3 慢衰減模式 41 3.3.4 混合衰減模式 43 3.4 轉速與角度 44 第四章 模擬與實驗 48 4.1 步進馬達控制方塊圖模擬 49 4.2 驅動晶片控制方塊圖模擬 57 4.3 實驗分析 64 第五章 結論與未來研究方向 72 5.1 結論 72 5.2 未來研究方向 72 參考文獻 73

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