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.
With the spurt of the high-speed railway construction, vulnerability analysis of the high-speed rail grid-connected system cannot be underestimated, which is helpful to improve the security of power system by preventive effectively. Therefore, we propose a vulnerability evaluation method for the uncertain high-speed rail grid-connected system combining branch potential energy function and information entropy together. Firstly, we construct a probability model of the high-speed rail loads by the nonparametric kernel density estimation method according to the measured data of traction substation. Secondly, we establish a power system vulnerability evaluation model based on the branch potential energy transfer entropy considering the power system state variables such as voltage magnitudes, voltage phase angles and power flows. Finally, the simulations on the IEEE-39 bus system and an actual power system in China show that the transmission line connecting the two regions is more vulnerable subjected to the influence of the high-speed rail loads, and the grid-connected points of the high-speed rail loads close to the generator help to reduce the output of the balance generator. These provides auxiliary suggestions for the rationalization of grid-connected location of high-speed rail load, and has certain practical application values.
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