Fast screening method for important transmission lines in electrical power system

In the electrical power system, a few transmission lines play a crucial role in cascading failures propagation. Once it participates in the cascading failures propagation process, catastrophic power blackouts will inevitably occur. In this paper, the Electrical Transmission Line-Stochastic Approach for Link Structure Analysis method (ETL-SALSA method) is proposed, which combines the Internet thinking with the physical characteristics of power system. At the same time, important transmission lines are screened to prevent cascading failures of the power system. Additionally, considering the influence of hidden failures, the expanded adjacent matrix concept is proposed. Based on the expanded adjacent matrix, fault propagation relationship and topology structure are also taken into account in the ETL-SALSA method. In the calculation process of ETL-SALSA method, Markov probability transfer matrix of the Stochastic Approach for Link Structure Analysis algorithm (SALSA algorithm) of random method is adopted, so as to achieve higher computational efficiency. Simulations carried out on the IEEE 39-bus electrical power system and the IEEE 118-bus electrical power system show that the ETL-SAL SA method can achieve high-accuracy to screen important transmission lines compared with graph theory method and cascading failure simulation method. Moreover, the screening speed of the ETL-SALSA method can be enhanced for several orders of magnitude compared with cascading failure simulation method.