Local Shifted Passivity Analysis of the Single-Machine Infinite-Bus System
For power system stability analysis, the paper offers a compact passivity-based stability certificate that preserves the periodic rotor angle structure, but the result is incremental as it extends existing passivity methods to a specific model.
The paper derives a local shifted passivity condition for the single-machine infinite-bus system in the stationary reference frame, yielding a sufficient stability condition that implies local asymptotic stability of the synchronous steady state and provides an estimate of its region of attraction under a small-inertia condition.
This letter presents a shifted passivity analysis of the single-machine infinite-bus system in the stationary ($αβ$) reference frame. We study the attractivity of a periodic synchronous steady state with constant rotor frequency and formulate shifted passivity with respect to this motion. A port-Hamiltonian representation of the machine dynamics is used to construct a local shifted passivity condition from the error Hamiltonian and a correction term adapted to the synchronous steady state. For the infinite-bus interconnection, the resulting dissipation inequality leads to a sufficient stability condition expressed in terms of field excitation magnitude, damping, inertia, and steady-state current. This condition implies local asymptotic stability of the synchronous steady state and yields a sublevel-set estimate of its region of attraction under an additional small-inertia condition. A distinctive feature of the analysis is that it preserves the periodic structure of the rotor angle and provides a compact passivity-based stability certificate for the stationary-frame model.