Reliability analysis of discrete-time multi-state star configuration power grid systems with performance sharing

Abstract This paper studies an assessment method for dynamic reliability of a discrete time multi-state star configuration power grid system with performance sharing. The proposed star configuration power grid system consists of n power generation subsystems fixed in star-terminal and one central collection and redistribution subsystem. All-star-terminal power generation subsystems are connected to the central subsystem in a point-to-point manner through their intermediate transmission links. It is assumed that the electric power of each generator and the demand of each star-terminal subsystem are random variables. The star-terminal subsystems with sufficient electric power can first transmit the surplus electric power to the central subsystem, and then the collected electric power in central subsystem is further redistributed to the star-terminal subsystems which are experiencing electric power deficiency through the corresponded transmission links. This paper investigates the dynamic reliability of the proposed power grid system when the demands of all star-terminal subsystems are satisfied after performance sharing. An algorithm based on the universal generating function (UGF) technique is presented to evaluate the dynamic reliability of the proposed power grid system with performance sharing. Finally, a numerical example and a case study are used to illustrate the accuracy of the proposed model and method.