Metraipolis › archive › dc_f9ebe9012941

Optimal Fast Charging of All-Solid-State Batteries under Cathode Transport Constraints — arXiv:2609.26524

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.26524
License (as archived): CC0-1.0
Archived: 2026-10-08T15:53:21.216Z
SHA-256 of the archived text: 600b01597e4e36ab242ccde7a9110a99f3872f5b0db9fcfe0cb651f4e8c0354d
Stable URL of this page: https://metraipolis.com/documento/dc_f9ebe9012941

How to cite

Optimal Fast Charging of All-Solid-State Batteries under Cathode Transport Constraints — arXiv:2609.26524 — arXiv (en), https://arxiv.org/abs/2609.26524 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_f9ebe9012941 (Metraipolis archive dc_f9ebe9012941, sha256 600b01597e4e36ab242ccde7a9110a99f3872f5b0db9fcfe0cb651f4e8c0354d)

BibTeX

@misc{dcf9ebe9012941,
  title = {Optimal Fast Charging of All-Solid-State Batteries under Cathode Transport Constraints — arXiv:2609.26524},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.26524},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_f9ebe9012941; sha256 600b01597e4e36ab242ccde7a9110a99f3872f5b0db9fcfe0cb651f4e8c0354d},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.26524. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Fast charging of all-solid-state batteries is limited by solid-state transport in the positive electrode, which can generate substantial concentration nonuniformity under aggressive charging. We formulate fast charging as a minimum-time boundary-control problem for a one-dimensional cathode diffusion model, subject to a terminal average-concentration target and a path constraint on the bulk-to-surface concentration difference. For constant diffusivity, we prove existence of a global minimizer and show that every minimum-time policy is maximal-feasible: the charging rate remains at its upper bound until the transport constraint becomes active and subsequently follows the active boundary. This structure motivates an offline-online strategy in which precomputed PDE responses are combined through low-dimensional algebraic operations, avoiding repeated PDE-constrained optimization. Numerical refinement and perturbation studies verify the predicted control structure and constraint satisfaction. We further investigate concentration-dependent diffusivity, quantify the robustness of the constant-diffusivity policy under model transfer, and introduce a blockwise nonlinear correction that restores admissibility when the transferred policy violates the transport constraint.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-23 in math.OC).
Categorie arXiv: Optimization and Control (math.OC).
Pagina del lavoro: https://arxiv.org/abs/2609.26524 — 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 2026-10-08T15:12:09.743Z dalla pagina https://arxiv.org/catchup/math.OC/2026-09-23?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).