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A Multi-Stage Linear Programming Framework for Three-Phase State Estimation in Low-Voltage Distribution Grids — arXiv:2609.29315

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.29315
License (as archived): CC0-1.0
Archived: 2026-10-08T08:27:42.859Z
SHA-256 of the archived text: 0b9d715222a33d7c97488426dfcb0963610b9afd809eada9baf64fd5097bce57
Stable URL of this page: https://metraipolis.com/documento/dc_27e167a3abfe

How to cite

A Multi-Stage Linear Programming Framework for Three-Phase State Estimation in Low-Voltage Distribution Grids — arXiv:2609.29315 — arXiv (en), https://arxiv.org/abs/2609.29315 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_27e167a3abfe (Metraipolis archive dc_27e167a3abfe, sha256 0b9d715222a33d7c97488426dfcb0963610b9afd809eada9baf64fd5097bce57)

BibTeX

@misc{dc27e167a3abfe,
  title = {A Multi-Stage Linear Programming Framework for Three-Phase State Estimation in Low-Voltage Distribution Grids — arXiv:2609.29315},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.29315},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_27e167a3abfe; sha256 0b9d715222a33d7c97488426dfcb0963610b9afd809eada9baf64fd5097bce57},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.29315. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Low-voltage (LV) distribution feeders are increasingly difficult to monitor because real-time load data are unavailable, historical measurements are sparsely sampled, and high-rate voltage sensors cover only a few nodes. This paper proposes a multi-stage linear programming (MSLP) estimator for three-phase unbalanced LV grids that reconstructs per-phase nodal voltages under such limited observability. The estimator linearises the three-phase power flow through voltage-to-power sensitivity matrices and adjusts the nodal active and reactive power injections so that the resulting voltages match the available measurements. To limit the error introduced by linearisation, the sensitivities are rebuilt and the power corrections refined over successive iterations, and power-balance constraints at intermediate metered nodes are added to tighten the feasible region. The method is validated on a real 50-node Danish LV feeder, where it attains a mean absolute error of 0.641V, a standard deviation of 0.816V, a root-mean-square error of 0.842~V, and a maximum error of 3.437V. Compared with a single-stage linear estimator, MSLP lowers the error metrics by roughly 16 percent on average, and additional studies quantify the influence of the input-preparation strategy and of the number of estimation meters.

Tema degli esploratori: calcolo e infrastrutture (retro-catalogo arXiv: annunci del 2026-09-25 in eess.SY).
Categorie arXiv: Systems and Control (eess.SY).
Pagina del lavoro: https://arxiv.org/abs/2609.29315 — 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 2026-10-08T07:40:07.051Z dalla pagina https://arxiv.org/catchup/eess.SY/2026-09-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).