配電系統為整個電力系統的末端，將電能由發電廠經由變壓器以及輸電饋線傳輸再經由配電系統分配給客戶。其運作之良窳，將影響電力供應之品質與服務的好壞。由於配電系統所涵蓋的範圍廣大，其元件間之關係複雜，以及電能傳遞過程所造成線路損失將降低系統運轉效率。藉由裝設電容器使系統正常運作，並可長期維持低損失及高可靠度之狀態是一種廣泛被使用的方法。 本論文提出多目標株落選擇演算法以解決具限制問題之多目標問題。株落選擇演算法係利用模擬抗體與抗原在人體免疫系統內的運作模式以求解最佳化的問題，抗體及抗原可視為最佳化問題中的最佳解與目標函數。利用株落選擇及擴張與親和力成熟，使得在求解空間的搜尋過程中，快速收斂且找到全域妥協解，而後期變動可增加抗體族群之歧異度，避免陷入局部最佳解的可能性。由於多目標函數間的單位大多不同難以整合，有鑑於此本研究提出交談式模糊滿足法，此方法優於傳統解法之處在於最佳化過程中不需經由對各目標函數定義權重因子即可依使用者所需求收尋並同時兼顧各目標函數的解。 本論文將電容器配置問題模式化成多目標規劃問題，結合株落選擇演算法與交談式模糊滿足法來決定如何配置電容器之裝設位置與容量的步驟。在輻射型配電系統上考慮四個目標函數，包括最小化電容器建構之成本、能量損失之成本、匯流排電壓之變動量及最大化饋線段（及變壓器）的安全邊界。目標函數以模糊集合建構之，可利用模糊集合反映目標函數的不精確本質與合併多個在規劃時的需求。 本論文利用模擬軟體Matlab實現本文所提的演算法，並測試於IEEE 69-Bus之配電系統上與之前相關研究做比較，以證實本演算法之效能及實用性。 Typical distribution systems operate in a radial configuration which is supplied from power plant by substations and feeds to customers. The operation efficiency and service quality of distribution systems is indispensable. Distribution systems covered a very wide area with components are so big and complicated that contribute distribution line loss and deteriorate system operation efficiency. Numerous shunt capacitors are installed along distribution feeders to compensate for reactive power to regulate the voltage, reduce energy, correct the power factor, and release system capacity, for both urban and rural areas. This thesis presents a clone selection multi-objective algorithm to solve the constrained multi-objective problem. The clone selection algorithm simulates the operating relationship between the antigen and antibody in human immune system, which is in corresponding to the optimal solutions and objective functions of the optimization problem, to solve the optimization problem of reactive power and voltage control. Clone selection expansion and affinity maturation are applied to quick convergent speed and the global optimal solution can be achieved, and meta dynamics is applied to increase the diversity among antibodies to avoid the local optimal solution. Because the unit is different in multi-objective functions that hard for using tradition method to solve it. This study proposes the fuzzy-based interactive satisfied multi-objective method embedded with the conflict programming to the multi-objective optimal capacitor placement. This method is better than traditional method on that eliminates the need of any user-defined weight factor for aggregating all objectives. This thesis formulates the capacitor placement problem as a multi-objective problem, and combines clone selection algorithm with interactive fuzzy satisfied method to locate and determine the sizes of capacitors to be installed at the nodes of a radial distribution system under various loading conditions. The problem formulation presented in radial distribution system considers four objectives including of minimizing the cost of installing capacitors, minimizing the real power loss, minimizing the deviation of the bus voltage, and maximizing the capacity margin of the feeders and the transformer. A new problem formulation model of all objective functions with fuzzy sets to reflect the imprecise nature of objectives and incorporate the multiple requirements on planning is presented. Finally, this solution algorithm is implemented by Matlab, and tested on the IEEE 69-bus distribution system, as well as comparative studies are conducted on the test system with rather encouraging results. It proves that the proposed method is the most effective method to solve the optimal capacitor placement problem.
