鐵磁共振發生，往往事先無法預測，是一種在電力系統上少見的非線性共振現象，這種不正常的諧振暫態或穩態造成的過電壓和過電流將引起電氣設備的損壞，一些無法解釋的故障經查證可以歸咎於這種稀少且非線性的現象。由於電力系統發電容量提高及擴充輸電網路，鐵磁材料改善，減少變壓器損失，加上都市配電地下化，引起鐵磁共振發生機率升高。本文針對三相電力系統分析研究，磁化曲線以現場實測資料模擬分析，再以變壓器鐵心磁化曲線與線路上各種參數之間變化做分析，尤其考慮磁滯迴路曲線時，磁滯效應的影響，對整個變壓器運轉點之改變。在模擬過程中，分別不考慮磁滯效應與考慮磁滯效應作模擬，在比較故障前參數的臨界點不同，以避免發生鐵磁共振之可能，文中也針對事故前線路各種初時條件，模擬鐵磁共振的影響。

It can not always be expected that ferroresonance happens.The ferroresonance is rarely seen on the nonlinear resonance of the power system. If the resonance is transient or steady it may result in overvoltage and over current and also degrade insulation of the equipment. It’s been proved that the rare nonlinear resonance causes some unexplainable damages. Due to increasing power capacity, expanding transmission line and underground line of ferroresonance is increased. This thesis presents the three phase power system with analysis. The magnetic curve was obtained from field measurements and using many kinds of parameters which are from the magnetization characteristic and lines to analysis. Especially emphasized is the width of the hysteresis loop and the effects of magnetic hysteresis in the change of the operating point of the transformer. In the simulation, the thesis compares the effects of magnetic hysteresis with the non-effects of magnetic hysteresis, and compare the differences of parameter critical point to avoid ferroresonance. This thesis has presented some results in investigating the impact of different sets of initial condition on the models of behavior of a ferroresonance circuit.

中文摘要 Ⅰ
英文摘要 Ⅱ
目錄 Ⅲ
圖目錄 Ⅴ
表目錄 Ⅷ
第一章 緒論 1
1.1 研究背景 1
1.2 研究動機 2
1.3 研究內容概述 3
第二章 變壓器磁滯效應 4
2.1 前言 4
2.2 磁性現象 4
2.3 無載變壓器之激磁電流 5
2.4 磁滯曲線 7
2.4.1 磁化曲線之建立 7
2.4.2 磁滯曲線之建立 10
第三章 評估鐵磁效應 12
3.1 前言 12
3.2 鐵磁共振的分類 12
3.3 鐵磁共振之運轉點 17
3.4 相關參數對FR的影響 18
3.4.1 電源電壓變動對FR的影響 18
3.4.2 電源頻率變動對FR的影響 19
3.5 考慮線路串聯電阻對FR的影響 20
3.6 本章結論 24
第四章 磁滯現象對鐵磁共振之分析 25
4.1 前言 25
4.2 以磁通為變量之共振電路 25
4.3 以磁通為變量的共振電路之圖解 27
4.4 參數對鐵磁共振的影響 29
4.4.1 損失因子對鐵磁共振的影響 29
4.4.2 電源大小對鐵磁共振的影響 30
4.4.3 串聯電容對鐵磁共振的影響 32
4.5 變壓器二次側負載對鐵磁共振的影響 33
4.6 本章結論 35
第五章 三相線路之模擬 37
5.1 前言 37
5.2 單相開路故障之等效電路 37
5.3 不考慮磁滯效應的共振電路 39
5.4 初值條件對系統不考慮磁滯效應之共振電路影響 40
5.5不考慮磁滯效應對線路各參數之影響 45
5.5.1電源電壓的影響 45
5.5.2 線路電容的影響 47
5.6 考慮磁滯效應的共振電路之解 53
5.7 初值條件對系統磁滯效應之共振電路影響 55
5.8 磁滯效應對線路各參數之影響 59
5.8.1 電源電壓的影響 59
5.8.2 線路電容的影響 61
5.9本章結論 66
第六章 結論 67
參考文獻 69

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