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Loadability Limits Under Periodic Load Forcing — arXiv:2608.21256

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.21256
License (as archived): CC0-1.0
Archived: 2026-10-18T11:29:09.991Z
SHA-256 of the archived text: 999ce431bc1c29d1c0a111ced57f3aadfd4c226c02114d0a12132659c790c0c5
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How to cite

Loadability Limits Under Periodic Load Forcing — arXiv:2608.21256 — arXiv (en), https://arxiv.org/abs/2608.21256 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_8a73fc2db882 (Metraipolis archive dc_8a73fc2db882, sha256 999ce431bc1c29d1c0a111ced57f3aadfd4c226c02114d0a12132659c790c0c5)

BibTeX

@misc{dc8a73fc2db882,
  title = {Loadability Limits Under Periodic Load Forcing — arXiv:2608.21256},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.21256},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_8a73fc2db882; sha256 999ce431bc1c29d1c0a111ced57f3aadfd4c226c02114d0a12132659c790c0c5},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.21256. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The static loadability limit, defined as the demand at which the equilibrium equations lose their solution, is the standard basis for interconnection screening of large new loads. This letter shows that when part of the demand varies periodically, as for data-center loads, the steady state is a forced periodic orbit whose loadability limit differs from the static one. The classical optimization argument is extended directly from equilibria to fixed points of the period map. At the limit, the monodromy matrix acquires a Floquet multiplier at +1, so the generic instability is a cyclic fold of the orbit rather than a saddle-node of equilibria. The limit is therefore a function of the forcing frequency, which no static computation can capture. Additionally, with the network Jacobian turning singular along the cycle, singularity-induced instability is extended to orbits. On a four-bus test system, a static margin of 2.5 p.u. shrinks to 0.53 p.u. near the swing frequency, the instability mechanism switches from voltage collapse to a rotor-angle fold, and cold starts fail at amplitudes where the orbit still exists. A static analysis reproduces none of these effects.

Tema degli esploratori: calcolo e infrastrutture (retro-catalogo arXiv: annunci del 2026-08-24 in eess.SY).
Categorie arXiv: Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2608.21256 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-18T11:28:11.784Z dalla pagina https://arxiv.org/catchup/eess.SY/2026-08-24?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).