Comparison of unit addition and fast Fourier transform methods for generation system reliability evaluation
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abstract
Several methods have been proposed to improve the efficiency of convolution of generating unit probability distributions, since this is the most basic step in reliability and production cost studies. These methods can be broadly classified into those based on discrete convolution and others based on approximations using continuous distributions. The traditional approach to discrete convolution is based on unit addition algorithms. Another approach transforms this convolution into discrete Fourier domain, where the Fourier transform of the system can be obtained by the product of the Fourier transform of the unit probability distributions. The objective of this paper is to provide a comparison between unit addition algorithm and the Fast Fourier Transform method of building capacity outage probability tables. Copyright 1996 Elsevier Science Ltd.
