Dissipativity-Based Stability Analysis of Power Networks with Uncertain Interconnections

Abstract

This study introduces an algorithm for evaluating the stability of complex, interconnected systems with uncertainties. The approach simplifies the analysis by using a compositional certification strategy, which focuses on the properties of individual subsystems rather than the entire network. Initially, the algorithm examines the dissipative characteristics of the subsystems. It then incorporates the uncertainties of the connections to establish a compositional stability criterion for the network's stability assessment. This algorithm is computationally efficient compared to previous methods, making it appropriate for interconnected large-scale power systems. The efficiency of the presented procedure will be confirmed over a numerical analysis of the IEEE 14-bus test network, demonstrating its capability for assessing stability amidst uncertainties. © 2023 IEEE.