近年來，由於工業界對精密磁性元件的需求日益增加，磁場量測技術在相關產品之品管上所扮演的角色也愈漸重要。目前市面上所開發的磁場量測系統，其量測功能僅限於一維自由度。然而隨著磁場應用的日新月異，傳統磁場量測技術已無法完全滿足特殊零組件所延伸之量測路徑需求，因此，三維數控磁場量測系統的建立，確有其必要性。
基於三維數控磁場量測系統是具有三維運動自由度與三維磁場量測的特性，本文包含三個主要的研究議題，分別為：一、利用B-spline插值技術與取樣點規劃，快速重建磁場分佈；本項研究利用一個均勻充磁的矩形磁鐵模型，模擬其所激發的磁場分佈，經由磁鐵尺寸的變化，透過模擬結果分析，歸納出一有效率的取樣規則，由實驗結果證實，所提的取樣規則與B-spline插值技術可有效重建磁場分佈，且同時兼具效率與精確度要求。二、利用量測等磁曲線，快速完成磁鐵特性檢測；透過分析等磁曲線的模擬結果，探討以等磁曲線進行磁鐵特性檢測之可行性。此外，亦提出磁場向量追蹤法與三點搜尋法，作為實際量測等磁曲線的策略，並以實驗結果證實其性能。三、利用磁場回授訊號，實現即時磁伺服與磁追蹤控制；主要建立一套空間向量轉換公式，可藉由量測的磁場計算探棒相對於磁鐵的座標向量，以達成即時的磁回授控制，進而實現應用於等磁曲線量測的磁伺服控制，及同步運動的磁追蹤控制。

At present, due to the high precise requirements of magnetic elements in industry, magnetic field measuring plays an important role in quality control. In fact, the commercial available measuring systems only provide one dimension and degree of freedom in measuring. However, as the rapid growth of magnetic field applications, the traditional measuring systems may not be capable of dealing with special measuring trajectories. Hence, the development of a three-dimensional (3D) automatic magnetic measuring system is necessary.
Based on the characteristics of three degrees of freedom and 3D magnetic field measurement in the proposed system, three research topics are investigated in this dissertation, which are given the following. 1. Rapidly reconstructing of the magnetic-field distribution by B-spline interpolation and sampling rule. A uniformly-magnetized rectangular magnet model is provided for simulating its exciting magnetic fields. Through the magnetic dimension variations and the corresponding simulation results, an efficient sampling method can be obtained. By applying the proposed sampling rule with the B-spline interpolation, experimental results are given to verify the performances of the proposed method. 2. Rapid magnetic characterization for magnets by isomagnetic lines. By analyzing the isomagnetics lines via the proposed model, the feasibility of magnetic characterization is revealed for magnets by isomagnetic lines. In addition, the magnetic vector tracking method and the triple-point searching method are developed to measure isomagnetics lines. 3. Realizing magnetic servoing/tracking control using magnetic feedback. The space vector of the Hall probe is calculated with respect to a cylindrical magnet by measured flux density. Accordingly, magnetic field can be employed by the proposed flux-density-based control scheme to realize the magnetic servoing control for isomagnetic lines measurement and the magnetic tracking control for synchronous motion.

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