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Constructive Port-Hamiltonian Energy Shaping Design of Dispatchable Virtual Oscillators in Grid-Forming Converters — arXiv:2609.01349

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.01349
License (as archived): CC0-1.0
Archived: 2026-10-17T07:33:41.975Z
SHA-256 of the archived text: bb905a290b29b8cc04cf3e06e80c391c42b13981d2d981ca95dca2b3fa12acbf
Stable URL of this page: https://metraipolis.com/documento/dc_f6fbfa4072dd

How to cite

Constructive Port-Hamiltonian Energy Shaping Design of Dispatchable Virtual Oscillators in Grid-Forming Converters — arXiv:2609.01349 — arXiv (en), https://arxiv.org/abs/2609.01349 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_f6fbfa4072dd (Metraipolis archive dc_f6fbfa4072dd, sha256 bb905a290b29b8cc04cf3e06e80c391c42b13981d2d981ca95dca2b3fa12acbf)

BibTeX

@misc{dcf6fbfa4072dd,
  title = {Constructive Port-Hamiltonian Energy Shaping Design of Dispatchable Virtual Oscillators in Grid-Forming Converters — arXiv:2609.01349},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.01349},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_f6fbfa4072dd; sha256 bb905a290b29b8cc04cf3e06e80c391c42b13981d2d981ca95dca2b3fa12acbf},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.01349. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Port-Hamiltonian (PH) theory offers a passivity-based framework for grid-forming control, yet conventional dispatchable virtual oscillator control (dVOC) does not naturally admit a dissipative PH realization, since its amplitude egulation, synchronization, and power dispatch are inherently coupled without a unified energy interpretation. This paper formulates the outer-loop dynamics as a dissipative PH system, thereby unifying amplitude regulation, synchronization, and power dispatch within one energy structure. The formulation rests on the key property that logistic-type radial regulation, characterized by an inherent saturation-like nonlinearity, permits an exact gradient decomposition compatible with the quadratic energy storage. On this basis, a unified shaped Hamiltonian is constructed, which encapsulates both amplitude restoration and power dispatch. Radial gain matching derived from this Hamiltonian yields explicit closed-form arameter inequalities that guarantee almost-global asymptotic stability and local exponential convergence. Moreover, tuning the power-error weighting coefficient actively shapes the energy landscape, thereby eliminating the undesirable low-voltage power-flow solution from the stationary set and ensuring convergence to the desired high-voltage equilibrium point. The Hessian singularity condition further provides the critical weight threshold that guarantees uniqueness of the high-voltage equilibrium. Numerical simulations validate the proposed method.

Tema degli esploratori: calcolo e infrastrutture (retro-catalogo arXiv: annunci del 2026-09-02 in eess.SY).
Categorie arXiv: Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2609.01349 — 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 2026-10-17T07:23:10.016Z dalla pagina https://arxiv.org/catchup/eess.SY/2026-09-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).