Power system vulnerability analysis based on topological potential field theory

Abstract

Evaluating the vulnerability of power system effectively and accurately is of great significance for predicting cascading failures and preventing blackouts. Therefore, we propose a power system vulnerability analysis method based on the topological potential field theory in this paper. Firstly, according to the overload risk and operation risk of transmission lines in cascading failures, we construct a fault chain graph considering two-level cascading failures. Secondly, we define the generalized node quality, and then propose a power system vulnerability evaluation method based on the topological potential theory of the data field by using the network edge weights to quantify the node entropy degree. At the topological structure level, this method pays attention to the influence between lines and that of each line on the entire power system, which can more reflect the important lines in the power system accurately. Finally, we do vulnerability simulations on the IEEE-39 bus system and a certain regional power grid in China respectively. The results show that the method has higher identification accuracy and lower time complexity on the basis of ensuring the integrity of the power grid topology.

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“…The minimum value of the potential quotient corresponds to the optimal influential factor; the corresponding topological potential distribution of nodes is highly heterogeneous, and the uncertainty is minimized. It is worth noting that if there are disconnected node pairs separated by an infinite distance, the potential quotient cannot reach the true minimum value; thus, σ→∞ [ 29 ]. Specifically, the potential quotient can be obtained as follows: where is a standardized parameter.…”