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研究生: 徐誌遠
Zhi-Yuan Hsu
論文名稱: 應用邏輯斯迴歸與訊號處理技術於串聯電弧故障檢測
Application of Logistic Regression Algorithm and Signal Processing Technology on Detection of Series Arc Fault
指導教授: 吳啟瑞
Chi-Jui Wu
口試委員: 辜志承
Jyh-Cherng Gu
郭明哲
Ming-Tse Kuo
連國龍
Kuo-Lung Lian
學位類別: 碩士
Master
系所名稱: 電資學院 - 電機工程系
Department of Electrical Engineering
論文出版年: 2021
畢業學年度: 109
語文別: 中文
論文頁數: 186
中文關鍵詞: 串聯電弧電弧檢測小波轉換傅立葉轉換電流失真功率倒傳遞類神經網路邏輯斯迴歸
外文關鍵詞: Series Arc, Arc Detection, Wavelet Transform, Fast Fourier Transform, Current Distortion power, Back Propagation Neural Network, Logistic Regression
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  • 當線路發生電弧故障時,若未能及時做適當的處理,電弧所產生的高溫火花可能會對於配電系統、輸電系統以及電路設備造成損害,甚至可能點燃附近的易燃物,造成火災。且根據國外調查指出,電弧事故是導致電氣火災的主因之一。為探討出更快速且精準的電弧故障檢測技術,本論文建立直流串聯電弧及交流串聯電弧實驗平台,分別對於直流與交流線路進行電弧故障的實驗。首先使用離散小波轉換、快速傅立葉轉換、電流失真功率與濾波器訊號處理方式得到特徵向量。再使用倒傳遞類神經網路與邏輯斯迴歸兩種檢測法,來檢測交流電路與直流電路之電弧故障檢測。兩種檢測法結合四種訊號處理方法,從結果觀察出,訊號處理方法對於串聯電弧檢測有很大影響。設計出之檢測法,雖然在某些線路供應負載且發生串聯電弧故障時,可能出現誤判的情形,但邏輯斯迴歸的優點是有易於理解、容易實現,且運算簡單。


    When an arc fault occurs on electric wire, sparks and high temperatures may cause damage to distribution systems, transmission systems and electrical equipment. It even would ignite surrounding flammable materials and cause a fire event if arcs are not eliminated in time. According to some foreign investigations, arc faults are one of the reasons of electric fires. In order to develop accurate and fast detection technology, this thesis establishes a DC series arc and AC series arc experimental platform to conduct experiments on DC and AC load feeders respectively. First of all, the experimental data is used to obtain the eigenvectors by the discrete wavelet transform, the fast Fourier transformation, the current distortion power, and the waveform filter. Thereafter, the back propagation neural network (BPNN) and the logistic regression algorithm are two methods to detect series arc fault on AC circuits and DC circuits. Two detection methods will be combined with four signal processing methods. The signal processing has a great influence on series arc fault detection method. Although the detection method designed in this thesis may cause misjudgments when a series arc fault occurs in line, but the advantages of logistic regression are conducive to understanding, easy to implement, and simple to calculation.

    摘要 I Abstract II 誌謝 III 目錄 IV 圖目錄 IX 表目錄 XVIII 第一章 緒論 1 1.1 研究背景與動機 1 1.2 文獻探討 2 1.3 研究內容 5 1.4 章節敘述 6 第二章 串聯電弧故障特性與實驗設備 7 2.1 前言 7 2.2 電弧故障之類型與特性 7 2.2.1 電弧 7 2.2.2 交流電力系統電弧故障 8 2.2.3 交流串聯電弧故障之時頻特性 8 2.2.4 直流電力系統電弧故障 10 2.2.5 直流串聯電弧故障之時頻特性 12 2.3 交流串聯電弧與直流串聯電弧之比較 15 2.4 交流電弧與直流電弧之相關標準 15 2.4.1 UL1699與NEC210.12 15 2.4.2 NEC690.11與屋內配線裝置規則 17 2.4.3 UL1699B 18 2.5 電弧故障實驗設備與實驗方法 20 2.5.1 實驗設備 20 2.5.2 交流電弧實驗方法 27 2.5.3 直流電弧實驗方法 29 2.6 小結 33 第三章 電流波形訊號處理與串聯電弧故障檢測方法 34 3.1 前言 34 3.2 傅立葉轉換 34 3.2.1 離散傅立葉轉換 34 3.2.2 快速傅立葉轉換 35 3.2.3 線路電流擷取之週期時間與窗函數 37 3.3 小波轉換 39 3.3.1 離散小波轉換 40 3.3.2 小波多層解析 42 3.3.3 串聯電弧線路電流之多層解析 44 3.4 高頻能量累積值 48 3.5 電流失真功率 49 3.6 帶通濾波器 50 3.6.1 原理 50 3.6.2 Chebyshev I帶通濾波器使用於交流串聯電弧分析 52 3.6.3 Chebyshev I帶通濾波器使用於直流串聯電弧之分析 55 3.7 訊號處理方法 65 3.7.1 負載取樣方式 65 3.7.2 離散小波轉換訊號處理方法 66 3.7.3 快速傅立葉訊號處理方法 67 3.7.4 電流失真功率訊號處理方法 68 3.7.5 Chebyshev1濾波器訊號處理方法 69 3.7.6 交流與直流訊號處理方法統整 70 3.8 邏輯斯迴歸檢測法 71 3.8.1 邏輯斯迴歸簡介 71 3.8.2 邏輯斯迴歸分類 71 3.8.3 邏輯斯迴歸勝算比 72 3.8.4 邏輯斯迴歸(Logistic Regression) 73 3.9 倒傳遞類神經檢測法 75 3.9.1 類神經網路簡介 75 3.9.2 倒傳遞類神經網路訓練流程 75 第四章 低壓線路交流串聯電弧檢測結果 79 4.1 前言 79 4.2 線路供應各負載檢測結果 80 4.2.1 線路供應負載一:吹風機 80 4.2.2 線路供應負載二:17顆省電燈泡 84 4.2.3 線路供應負載三:吹風機與17顆省電燈泡 88 4.2.4 線路供應負載四:7顆省電燈泡與17顆省電燈泡 92 4.2.5 線路供應負載五:吹風機與電鍋 96 4.2.6 線路供應負載六:17顆省電燈泡與100uF電容 100 4.2.7 線路負載七:吹風機與100uF電容 104 4.2.8 線路載八:混合負載 108 4.3 邏輯斯迴歸與倒傳遞類神經檢測法應用於交流負載各方法準確率之比較 112 4.4 小結 113 第五章 直流串聯電弧檢測結果 114 5.1 前言 114 5.2 線路供應電阻負載 115 5.2.1 不同電源電壓大小與線路電流大小 115 5.2.2 不同導線長度的影響 124 5.3 線路供應透過切換式逆變器接市電 129 5.3.1 不同電源電壓大小與線路電流大小 129 5.3.2 不同導線長度 135 5.4 線路供應透過線性式逆變器接交流電阻負載 139 5.4.1 不同電源電壓大小與線路電流大小 139 5.4.2 不同導線長度 143 5.5 邏輯斯迴歸與倒傳遞類神經檢測法應用於直流負載各方法準確率之比較 148 5.6 小結 149 第六章 結論與未來研究方向 150 6.1 結論 150 6.2 未來研究方向 152 參考文獻 153

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