本論文旨在研究能將系統運轉狀態變遷納入考量之配電系統電力潮流分析技術，俾能隨著系統狀態之改變，隨時掌握系統的電力潮流狀態，並能據此為正確、有效的控制與管理作為，提升系統運轉效能與安全性。本研究以放射狀配電網為研究對象，主要係因其結構簡單，易於以圖脈理論快速求取系統狀態變遷後之系統矩陣，續而配合妥適的電力潮流分析方法，即可隨時掌握系統在不斷變遷過程的電力潮流狀況。本研究利用圖脈理論找出應用所需之關聯矩陣及其相互間之關係，並以修改阻抗矩陣的方式來快速響應系統狀態之變遷，此外，尚發展出一妥適且可配合運作之輻射狀配電系統電力潮流計算方法，來達成前揭之研究目標。
本研究以商用套裝軟體為MATLAB開發工具，並以IEEE公布之測試系統為範例系統，運用本論文所提出之方法，進行準確度之驗證與情境之應用。本論文研究結果其能配合智慧電網之功能，對配電系統為更快速、精準、高效能之監控與管理。

This study aims to incorporate the state transition of system operation in the analysis technology of the consideration of power flow of the distribution system. We can grasp the power flow condition of system at all times and control and manage it effectively to enhance the efficacy and safety of system operation with the change of system status. This study adopts radial distribution network to explore with its simple structure and system matrix, which is easy to be obtained rapidly by “Graph Theory” after system transition. Subsequently, coordinating with appropriate power flow methods, we can grasp the constant process of power flow at any time. Thus, this study employs “Graph Theory” to find the relationship among incidence matrix and modifies impedance matrix to respond to the transition of system status fast. Besides, we also develop a suitable calculation formula, which can correspond to power flow of radial distribution system to accomplish the above-mentioned objective.
This study uses commercial software MATLAB as developing instrument and sets testing system issued by IEEE as an example system to evaluate and verify the method proposed by this study and apply to example scenarios. Finally, results show that the distribution system can monitor and manage smart grid much more rapid, accurate and highly efficient.

[1] William H. Kersting, “Distribution System Modeling and Analysis,” Boca Raton:CRC Press, 2002.
[2] T. H. Chen, M. S. Chem, K. J. Hwang, Kotas P. and Chebli E. A. ,“Distribution system power flow analysis - a rigid approach,” IEEE Transactions on Power Delivery, Vol. 6, Issue: 3,pp.1146-1152, July 1991.
[3] 楊念哲，「配電系統三相電力潮流分析技術研究」，國立臺灣科技大學電機工程系碩士論文，民國九十二年。
[4] T. H. Chen, M. S. Chen, Inoue T., Kotas P. and Chebli E.A., “Three-phase cogenerator and transformer models for distribution system analysis,” IEEE Transactions on Power Delivery, Vol. 6 Issue: 4, pp.1671-1681, Oct. 1991.
[5] Tsai-Hsiang Chen and Yung-Liang Chang, “Integrated models of distribution transformers and their loads for three-phase power flow analyses,” IEEE Transactions on Power Delivery, Vol. 11 Issue: 1, pp.507-513, Jan. 1996.
[6] Glenn W. Stagg and Ahmed H. El-Abiad,“Computer methods in power system analysis, ”New York: McGraw-Hill, 1968.
[7] T. H. Chen and N. C. Yang, “Three-phase power-flow by direct ZBR method for unbalanced radial distribution systems”, IET Generation, Transmission & Distribution, 2008.
[8] T. H. Chen and N. C. Yang, “Loop frame of reference based three-phase power flow for unbalanced radial distribution systems”, Electric Power Systems Research80, pp.799-806, 2010.
[9] Nien-Che Yang, “Three-phase power flow calculations by direct ZLoop method for microgrids with electric vehicle charging demands”, IET Generation, Transmission & Distribution, 2012.