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From Rigid to Adiabatic: Canonical Regularization of AC Networks via Action-Angle Variables — arXiv:2608.29129

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.29129
License (as archived): CC0-1.0
Archived: 2026-10-17T10:42:11.825Z
SHA-256 of the archived text: e0c4f8ae9254dcc9222a15052a633dc13db0a6d9b64c5e0520aa5ecd02dae722
Stable URL of this page: https://metraipolis.com/documento/dc_38d27bfdf080

How to cite

From Rigid to Adiabatic: Canonical Regularization of AC Networks via Action-Angle Variables — arXiv:2608.29129 — arXiv (en), https://arxiv.org/abs/2608.29129 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_38d27bfdf080 (Metraipolis archive dc_38d27bfdf080, sha256 e0c4f8ae9254dcc9222a15052a633dc13db0a6d9b64c5e0520aa5ecd02dae722)

BibTeX

@misc{dc38d27bfdf080,
  title = {From Rigid to Adiabatic: Canonical Regularization of AC Networks via Action-Angle Variables — arXiv:2608.29129},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.29129},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_38d27bfdf080; sha256 e0c4f8ae9254dcc9222a15052a633dc13db0a6d9b64c5e0520aa5ecd02dae722},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.29129. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Traditional power system analysis relies on timescale separation and the rigid-network assumption, freezing electromagnetic transients into algebraic power-flow equations via Steinmetz's phasor theory. As grid-forming converter penetration increases, magnetic energy dynamics on transmission lines interact with converter control loops on comparable timescales, challenging this rigid-network assumption. Returning to Faraday's law of electromagnetic induction driven by rotating magnetic fields, this paper models the transmission lines' rotating magnetic fields in action-angle canonical coordinates, regularizes the rigid algebraic constraints of power-flow equations into canonical equations on adiabatic symplectic manifolds, and establishes a port-Hamiltonian standard form for AC power grids. Based on the minimal-counterexample principle and using the equal-area criterion's classical two-machine system, this paper reveals a latitudinal instability channel via Bloch-sphere coordinates: Q-V control releases voltage-amplitude freedom, shifting the stability boundary from the equatorial UEP (unstable equilibrium point) to a saddle point, thereby unifying the analytical frameworks of P-delta angle stability and Q-V voltage stability in power system analysis.

Tema degli esploratori: calcolo e infrastrutture (retro-catalogo arXiv: annunci del 2026-09-01 in eess.SY).
Categorie arXiv: Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2608.29129 — 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 2026-10-17T10:29:43.025Z dalla pagina https://arxiv.org/catchup/eess.SY/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).