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Approaches to the investigation of the reliability of the basic topological structures of GRID systems, which are minimal enough set of constructive elements for constructing such systems, are considered in this work. Methods used for the quantitative assessment of the reliability of basic topological structures under conditions of different interpretations of the concept of "full failure of the basic structure" are considered. The construction of structural reliability models, based on series-parallel reliability schemes, are described in this work. The application of these approaches creates the basis for a multi-dimensional analysis of the GRID-systems reliability characteristics, at the design and development stages. This, in turn, creates the prerequisites for assessing the functional safety of such systems.

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