Distributed Stability Conditions for Power Systems with Heterogeneous Nonlinear Bus Dynamics

TL;DR

This paper establishes distributed stability conditions for power systems with nonlinear, heterogeneous bus dynamics, ensuring system-wide stability through passivity-based criteria and verified by simulations.

Contribution

It introduces distributed passivity-like conditions for stability that accommodate heterogeneous nonlinear bus dynamics in power systems.

Findings

Conditions are verifiable via control design.

Simulations confirm stability under various disturbances.

Applicable to both small and large disturbances.

Abstract

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