本論文提出三種簡單並可快速建立之切換式磁阻馬達磁通鏈模型。目前大部份傳統切換式磁阻馬達模型的建立需要大量的磁通鏈與其相對應相電流及轉子位置之資料;這些資料的取得，不論是從實測量得或透過有限元素分析獲得，均須耗費大量時間。本論文提出一利用傅立葉級數建立之馬達磁通鏈模型，傅立葉級數的係數可由三個不同轉子與定子相對應位置的磁通鏈來決定，其分別為重合(Aligned position)、非重合(Unaligned position)及中間位置(Midway position)。在重合及中間位置的磁通鏈及相電流的非線性關係可藉由一簡易的數學表示式表示之。本論文運用三種數學函數分別表示此非線性關係，並分別建立了三個適用於不同操作區域的磁阻馬達磁通鏈模型。本論文所提出的三個模型均可利用最少量的磁通鏈與相對應相電流及轉子位置資料點即可建立，這使得這三個模型具有易建立及高運算效率的優點。最後，本論文藉由電壓與相電流波型及特性曲線來驗證模型的準確性。

　This dissertation presents three simplified and fast-built models for the analytical representation of the flux linkage of a switched-reluctance motor (SRM). Presently, building a model using most of the conventional methods requires numerous flux-linkage-current-position data; however, this is time-ineffective. In this dissertation, the flux linkage is represented by a limited number of Fourier series terms. The coefficients of the Fourier series are determined by the values of the flux linkage at the aligned position, the unaligned position and a midway position. At either the aligned or the midway position, the non-linear relationship between the flux linkage and the phase current can be represented by a specific mathematical function. In this dissertation, three different functions are used to represent the non-linear characteristics, and three flux-linkage models that are suitable for different operating regions are built. These three models can be built with a minimal number of static characteristics, which are simply obtained through experimental measurements or finite-element analysis (FEA); this approach allows for easy implementation and high computational efficiency. The accuracies of the proposed models are verified via comparisons to measurements of the steady-state voltage and phase-current waveforms of the machine as well as several characteristic curves.

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