A New Fourier Method for Evaluating Generation System Reliability Indices

A new, robust, and computationally efficient Fourier method for evaluating the loss of load probability and expected value of energy not served in a generation system is presented in this paper. An efficient algorithm is developed for computirg the transformed probability density function of outages of all the generatig units of the system. The fast Fourier transform algorithm is then used for transforming the load duration curve, and for inverse transformation of the product of the transformed outage function and the transformed load duration curve. As the method does not involve any epproximation, it is expected to yield highly accurate results in all situations. Being a Fourier domain method, significant savirg in computational effort results for systems with identical units. The application of the method is illustrated for a typical medium-sized system.