Abstract
Based on the De.Morgan laws and Boolean simplification, a recursive decomposition method is introduced in this paper to identify the main exclusive safe paths and failed paths of a network. The reliability or the reliability bound of a network can be conveniently expressed as the summation of the joint probabilities of these paths. Under the multivariate normal distribution assumption, a conditioned reliability index method is developed to evaluate joint probabilities of various exclusive safe paths and failed paths, and, finally, the seismic reliability or the reliability bound of an electric power system. Examples given in the paper show that the method is very simple and provides accurate results in the seismic reliability analysis.
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Supported by: National Outstanding Youth Science Foundation of China Under Grant No. 598251005
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Jun, H., Jie, L. Seismic reliability analysis of large electric power systems. Earthq. Engin. Engin. Vib. 3, 51–55 (2004). https://doi.org/10.1007/BF02668850
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DOI: https://doi.org/10.1007/BF02668850