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As the end point of the power system, a distribution system directly connects with the consumers. The reliability of power supply is directly related with consumers. However, uncertainty of the original parameters of components may be caused by lacking of statistical information and the statistic error. It will inevitably produce large errors if we directly use these parameters for evaluation. The algorithm of interval numbers is used in this paper and the original reliability parameters are treated as interval numbers. Thereby the uncertainty of the parameters can be considered in the whole process of the reliability evaluation. At the same time the reliability interval indicator can be obtained.