本篇論文提出使用二階段多目標免疫演算法來解決饋線上之電容器配置問題,以總投資成本、匯流排電壓之變動量、兩個目標函數,以及電壓和電能損失成本為限制函數,組成多目標規劃問題,以評價其參數的不確定性和主事者對各目標函數的主觀性。最後使用MATLAB語言實現本章所提之演算法,測試於IEEE之標準配電系統上,結果證實這個演算法的效能及實用性。 Nowadays, as the increase of the domestic power consumption is adding and the question of environmental protection, make Taiwan Power Company difficult in setting new substations and transmission lions in the area of high density of load. That makes the serious decrease of voltage in the end of the transmission lion. No matter in the city or rural power distribution system, capacitor allocation is applied to correct voltage and reduce power loss. Generally speaking, the problem of capacitor allocation includes the location, type, and size of capacitor in the radiation type power distribution system under different load conditions. This paper present a Immune multi-objective method to shunt capacitor placement and sizing for the radial distribution, to deal with this Optimization question. This work proposes the two-stage immune algorithm embedded with the compromise programming to the multi-objective optimal capacitor placement. Two Goal function are defined for Lost cost of power loss and the variation of voltage for the 9-bus system, limit function are defined for Voltage and total losses of power. In order to appraise the subjectivity to every goal function, for the persons who take charge and the uncertainty of the parameter. Finally, use MATLAB language to realize the algorithm which this paper presents. Testing it in the standard distribution system of IEEE, the result verifies this efficiency and practicability of this algorithm.