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This paper aims at exploring the reliability model based on communication network that carries power grid control service information, it analyzes service type and feature of the power grid control information carried by electric power communication network and the communication network transmission requirements. It studies the method of abstracting reliability parameters of the communication link for power grid control service (i.e. constructing a mapping from error rate to reliability). It analyzes factors and types of faults of node devices and optical cables that affect network reliability. It puts forward several kinds of reliability models for the typical electric power communication network. It gives some suggestions on studying the reliability of the electric power communication network on the basis of relevant studies on the reliability of the electric power communication network. Finally, it introduces the progress and achievement of relevant studies. It can provide reference for researchers on the reliability of electric power communication.