- 學位論文
使用模式阻抗和共振指標之諧波共振分析
Analysis of Harmonic Resonance Using Modal Impedances and Resonance Indices
摘要
本文提出以模式阻抗和共振指標來探討及分析電力系統的諧波共振現象。於共振模式分析中，定義系統導納矩陣特徵值的倒數為模式阻抗，而共振模式的取得為當系統導納矩陣為奇異矩陣(即其有一特徵值為零或很小)的情況。於使用諧波共振指標(定義為n級諧波導納對基本波導納的比值)來分析共振現象時，個別諧波失真率、IEEE諧波限制和電容器負載限制等因素被用來繪製基準參考圖形，其中之曲線將圖形分割成兩區域，一為安全區域，表示諧波共振的影響是輕微的；另一為有問題的區域，表示必須執行詳細且進一步地分析，以維護系統安全運轉。經過例子探討和分析的結果顯示所提的方法對電力系統諧波分析是有參考價值的技巧。
並列摘要
In this thesis, we propose the modal impedances and resonance indices to investigate and analyze the harmonic resonance phenomenon in a power system. In the resonance mode analysis, the resonance mode is obtained as the system admittance matrix to be singular. That is, one of the eigenvalues approaches zero or is very small. The modal impedance is defined as the inverse of the eigenvalues of system admittance matrix. While in using the harmonic resonance index, defined as the ratio of the n-th harmonic admittance to the fundamental admittance, the individual harmonic distortion, IEEE harmonic limits and the capacitor loading limits are used to plot the guideline chart. The curve of guideline shown in this chart divides it into two regions, one is the safe region which the impact of harmonic resonance can be considered as insignificant, and the other one is the problem region which the detailed harmonic analysis is recommended. Examples study and analytical results have confirmed that the proposed methods are valuable tools for power system harmonic analysis.