A novel dynamic model on power failure propagation and its application to load shedding optimization

Abstract

In this letter, we proposed a novel individual-based dynamical model to study failure propagation in power system. In this model, a transmission line fails with a probability related to additional load transferred by other failed lines, where load upon failure of power lines is based on global and equal redistribution. Besides, the line recovers with a certain probability, and the failure levels of lines is depicted as a probability rather than a Boolean value subject to the mean-field theory. Based on this model, the outbreak threshold of the power system was analyzed. We gave the mathematical expression of the threshold for the outbreak of power failure scale and conducted simulation experiments to verify the theoretical value. Additionally, we discussed the optimal load shedding problem to minimize the objective function related to the cost of failure and load shedding. Lastly, the numerical simulations were provided to illustrate our theoretical results.