this paper proposes a new approach for calculating the reliability indices of generation system, such as interruption frequency and duration, by using the moment matching technique Two separate expressions are derived, one for the loss of load expectation(LOLE) and the other for the loss of load frequency (LOLF). These expressions are combination of exponentials and are therefore easily integrable and can be readily evaluated. In this paper, the parameters of the distribution functions of the LOLE and LOLF are evaluated by using Genetic Algorithm and Complex Method, and the proposed approach is quite comparable with the other methods at the aspect of accuracy and efficiency.