Passivity-Short-Based Conditions of System-Wide Stability and L₂ gain Performance for Heterogeneous Nonlinear Power System

The tendency to incorporate heterogeneity in bus dynamics for designing resilient and efficient power system has received increasing attention in recent years. This paper introduces novel passivity-short-based conditions to ensure system-wide stability and guarantee L <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> gain performance in power system with heterogeneous bus dynamics and nonlinear coupling. At first, we show the decomposition of the power system. By leveraging passivity indices and passivity-short-based property, the proposed framework offers a comprehensive approach to evaluate the system-wide stability of the power system. Additionally, we extend to evaluate L <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> gain performance via passivity indices, offering insights into the robustness of the power system. A power system simulation with 3 typical bus dynamics is illustrated considering the load change to demonstrate the efficiency of the presented conditions.