An improved decomposition-aggregation strategy for analyzing power systems stability

Abstract

This paper begins by establishing the presence of a feedforward-feedback control structure within power system dynamics. Subsequently, specific nonlinear analysis tools are employed to investigate the inherent properties of subsystems: Kuramoto Coupled Oscillator Theory for the feedforward rotor subsystem and Monotone System Theory for the feedback voltage subsystem. Finally, the stability of the entire closed-loop system and the impact of control parameters are examined using Small Gain Theorem. Test results are presented to further complement the theoretical findings. The introduced decomposition-aggregation strategy helps reduce the complexity of stability analysis and also provides insights into the dynamics study of other interconnected nonlinear systems.