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This paper derives distributed conditions that guarantee the system-widestability for power systems with nonlinear and heterogeneous bus dynamicsinterconnected via power network. Our conditions require each bus dynamicsshould satisfy certain passivity-like conditions with a large enough passivityindex, a sufficient requirement of which is dictated by the steady-state powerflow. The passivity indices uniformly quantify the impacts on the system-widestability of individual bus dynamics and the coupling strength from the powernetwork. Furthermore, taking three typical bus dynamics as examples, we showthat these conditions can be easily fulfilled via proper control design.Simulations on a rudimentary 3-bus example and the IEEE 39-bus system wellverify our results under both small and large disturbances.

Distributed Stability Conditions for Power Systems with Heterogeneous Nonlinear Bus Dynamics