Local Shifted Passivity Analysis of the Single-Machine Infinite-Bus System
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913069486047232 |
|---|---|
| author | Jiang, Xinyuan |
| author_facet | Jiang, Xinyuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25738 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local Shifted Passivity Analysis of the Single-Machine Infinite-Bus System Jiang, Xinyuan Systems and Control 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. |
| title | Local Shifted Passivity Analysis of the Single-Machine Infinite-Bus System |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2604.25738 |