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An efficient and effective unsymmetrical open-conductor analysis for unbalanced weakly meshed distribution systems is proposed in this study. Some efficient and accurate formulae used to analyse the effects of adding or removing branches on unbalanced weakly meshed distribution system are conducted. Unsymmetrical open-conductor analysis, such as the open of one phase or two phases of a three-phase branch, is then derived accordingly. Traditionally, unsymmetrical open conductors are analysed by the symmetrical-component-based methods, as are usually time consuming. The proposed method provides novel viewpoints in calculating the effects of unsymmetrical open conductors on unbalanced weakly meshed distribution systems. Test results demonstrate that the proposed method is systematic, efficient, accurate and easily programmable.