Reliability of a Star Configuration Power Grid System with Performance Sharing

In this paper, a multi-state power grid system with star topology configuration and performance sharing mechanism is proposed. The power grid system consists of n terminal nodes and one central node. It is assumed that each terminal node is composed of one or more generators and the central node is a power redistribution station, and all terminal nodes are connected to the central node in a point-to-point manner through their intermediate transmission lines. The terminal nodes with sufficient power can first transmit the redundant power to the central node, and then the collected power in central node is further redistributed to the terminal nodes with power deficient. First, this paper investigates the reliability of the power grid system if the demands of all terminal nodes are satisfied after power redistribution. Then, to some extent, the power grid system can be regarded reliable as long as the demands of at least k number of terminal nodes can be satisfied after power redistribution. An algorithm based on the universal generating function (UGF) technique is presented to evaluate the reliability of the proposed system with performance sharing under the two scenarios. Finally, a numerical example is used to illustrate the proposed model and method.