Probabilistic techniques are widely used in power system reliability evaluation. The average or mean values of a wide range of indices are used to assess the reliability of generation, transmission and distribution systems. These mean values are extremely valuable and are the primary indices in generation adequacy studies of power systems containing both conventional generating units and unconventional energy sources such as wind and solar energy. Additional information can, however, be created, which can prove useful in a wide range of systems and applications. The probability distributions associated with the reliability indices can be used as supplemental measures and provide valuable information for system planners and operators. This paper presents the results of a series of studies on reliability index distributions for small isolated power systems using wind energy and storage facilities. Reliability index distributions associated with generating capacity adequacy parameters such as the loss of load expectation (LOLE), expected outage frequency (EOF), expected energy supplied by the battery (EESBB) and battery discharging frequency (BDF) etc. are presented and examined.
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Billinton et al. (2004) studied this question.
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