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Harmonic Stability of Power Systems: A Control-Theoretic Definition and Assessment Criteria — arXiv:2608.19975

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.19975
License (as archived): CC0-1.0
Archived: 2026-10-18T13:40:12.516Z
SHA-256 of the archived text: 40d393bd3a1e97b94a4a5839f2e71c472ec4b63097b573928e8ec173c4b64905
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How to cite

Harmonic Stability of Power Systems: A Control-Theoretic Definition and Assessment Criteria — arXiv:2608.19975 — arXiv (en), https://arxiv.org/abs/2608.19975 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_a042dedc8d2b (Metraipolis archive dc_a042dedc8d2b, sha256 40d393bd3a1e97b94a4a5839f2e71c472ec4b63097b573928e8ec173c4b64905)

BibTeX

@misc{dca042dedc8d2b,
  title = {Harmonic Stability of Power Systems: A Control-Theoretic Definition and Assessment Criteria — arXiv:2608.19975},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.19975},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_a042dedc8d2b; sha256 40d393bd3a1e97b94a4a5839f2e71c472ec4b63097b573928e8ec173c4b64905},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.19975. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Harmonic interactions have become a defining dynamic stability phenomenon in converter-based power systems (CBPSs). However, a formalization of the notion of harmonic stability in the context of nonlinear dynamical systems is not available thus far. In this paper, we propose a definition of harmonic stability formulated as a combination of two standard stability notions, namely, bounded-input bounded-output (BIBO) and internal stability properties with respect to any nominal periodic trajectory. Moreover, we rigorously show that the local harmonic stability of any nominal periodic trajectory of nonlinear CBPSs is implied by the stability properties of its linear time-periodic (LTP) approximation. In addition, to enable computationally tractable stability assessment, we develop a framework based on harmonic state-space (HSS) representations of LTP models. In particular, we provide time-invariant linear matrix inequality (LMI) conditions to certify harmonic stability. The proposed methodology is illustrated on a grid-following converter system, where the HSS-based analysis numerically confirms harmonic stability around the periodic operating trajectory.

Tema degli esploratori: calcolo e infrastrutture (retro-catalogo arXiv: annunci del 2026-08-21 in eess.SY).
Categorie arXiv: Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2608.19975 — 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 2026-10-18T13:38:45.705Z dalla pagina https://arxiv.org/catchup/eess.SY/2026-08-21?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).