The Gain Matrix in Input-to-Output Stability Analysis with Applications to Interconnected Energy Systems

Applications of local input-to-output stability theorem mainly focus on isolated power systems. This paper aims at giving a try to extend the local input-to-output stability based stability criterion to integrated energy system, narrowing down on how to construct the linear gain matrix in the interconnected energy system. By modify multiregional inoperability input-output model, a formula of the linear gain matrix is derived, with a simple energy system as the case study.