近年來各先進國家為求降低供電成本、提高電力品質及提昇整體產業生產力，均積極推動電力自由化。重要關鍵之一係在電力系統發生故障時，能迅速找出故障位置，並在短時間內恢復供電，將停電區域降低至最小範圍。因此，本文提出應用改良式灰關聯分析演算法(MGRA)於二次輸電系統之復電操作。其完整復電策略(RS)分別由故障區域偵測、復電程序和電壓修正程序三個步驟所組成，每個步驟均由個別的灰關聯分析演算法進行求解。第一個灰關聯分析演算法利用網路開關狀態判別是否故障，第二個則結合開關狀態和負載等級判斷系統如何復電，第三個藉由控制電容組支援其匯流排之電壓量。在離線分析時，為了驗證復電策略之安全操作，本文亦提出以等效電流注入(ECI)為基礎之負載潮流模型，結合預測-校正式內部點演算法(PCIPA)開發出一套混合電流-實功之最佳化電力潮流(OPF)來確認系統是否在安全限制下正常運轉，其限制式分別為系統供需平衡、實功發電量限制、匯流排電壓限制和線路潮流限制。所提之最佳化電力潮流亦可將完整問題解耦成實功\\\\\\\和電壓兩個子問題。執行結果顯示所提之應用灰關聯分析演算法於復電策略確實能在IEEE 30匯流排系統上有效率的操作，更驗證內部點演算法在求解上述問題的功效之外，同時也確認所提出的預測-校正式內部點演算法，在強韌及收斂特性等性能上，較優於傳統內部點演算法。

With the deregulation of power industry and the market competition, low cost, reliable power supply, and secured system operations are major concerns of the advanced deregulation markets. Power system protection is important for service reliability and quality assurance. To reduce the outage duration and promptly restore power services, fault section estimate has to be done effectively and accurately with fault alarms. First, an operational strategy for secondary power system restoration using Modified Grey Relational Analysis (MGRA) is proposed. The Restoration Scheme (RS) can be divided into three steps involving fault section determination, recovering process, and voltage correction process. Three GRAs are incorporated to design the overall restoration scheme. The first GRA uses network switching status to identify the fault. The second GRA combines switching states and load levels for network recovery. The third GRA uses capacitor bank control to support bus voltages. For security operation of restoration scheme, an Equivalent Current Injection (ECI) based hybrid current-power Optimal Power Flow (OPF) model with Predictor-Corrector Interior Point Algorithm (PCIPA) is used to verify the proposed scheme by off-line analysis to confirm a secure overall network operation including load-power balance, power generation limits, voltage limits, and power flow limits. The proposed method can further decompose into two sub-problems. Computer simulations were conducted with an IEEE 30-bus power system to show the effectiveness of the proposed restoration scheme and the PCIPA technique is very accurate, robust, and efficient for the modified OPF solution.

第一章 緒論 1
1-1 研究背景與動機 1
1-2 論文貢獻 5
1-3 論文內容概要 6
第二章 負載潮流與內部點演算法介紹 8
2-1 等效電流注入為基礎之負載潮流模型 9
2-1-1 負載匯流排模型推導 9
2-1-2 電壓控制匯流排模型推導 12
2-1-3 完整負載潮流模型推導 14
2-2 預測-校正式內部點演算法 16
2-2-1 二次式內部點演算法 16
2-2-2 預測技巧 20
2-2-3 校正技巧 21
2-2-4 起始點設定技巧 23
2-2-5 收斂條件 23
2-3 本章結論 24
第三章 混合電流-實功之最佳化電力潮流 25
3-1 OPF問題描述 26
3-1-1 OPF之目標函數 26
3-1-2 OPF之等式限制式 27
3-1-3 OPF之不等式限制式 28
3-2 應用PCIPA於OPF問題 29
3-2-1 OPF之KKT最佳條件推導 31
3-2-2 OPF之海森矩陣推導 37
3-3 解耦最佳化電力潮流 42
3-4 本章結論 47
第四章 復電策略之系統建構與操作流程 48
4-1 輸配電系統架構 50
4-2 研究方法. 53
4-2-1 傳統式灰關聯度模型 54
4-2-2 改良式灰關聯度模型 56
4-3 復電操作策略流程 61
4-4 故障區域偵測. 62
4-4-1 比較序列圖樣範例之建立 63
4-4-2 MGRA求解FSD問題 64
4-5 復電程序 66
4-5-1 負載篩選 66
4-5-2 MGRA求解RP問題 68
4-6 電壓修正程序 69
4-7 本章結論 71
第五章 系統模擬及結果分析 72
5-1 前言 72
5-2 最佳化電力潮流整合測試 73
5-2-1 IEEE 30 Bus最佳調度測試 74
5-2-2 OPF收斂準確度測試 76
5-2-3 OPF執行效能測試 77
5-2-4 OPF記憶空間需求測試 79
5-2-5 OPF強韌度測試 80
5-2-6 OPF初始點測試 83
5-3 復電操作策略整合測試 84
5-3-1 匯流排單一故障案例 86
5-3-2 變壓器單一故障案例 90
5-3-3 包含電驛誤動作之雙重故障案例 94
5-4 本章結論 99
第六章 結論及未來發展方向 100
6-1 結論 100
6-2 未來發展方向 102
參考文獻 104
著作目錄 110
作者簡介 114

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