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Peer-reviewedCC BY 4.0Batteries

What Limits Lithium-Ion Battery State of Charge Estimation with a Hybrid Large Language Model? Layer Type Aware Adaptation and the Initial Condition Bottleneck

  1. 1ReCharge Lab, Moscow Center for Advanced Studies, 123592 Moscow, Russia

Abstract

State of charge (SoC) is the unobserved quantity that a battery management system must reconstruct from terminal voltage, current and temperature. Recent estimators adapt frozen large language models by prompt-tuning the key–value cache of a dense decoder, an interface that does not exist in the linear-attention majority of current hybrid models. We adapt a frozen four-billion-parameter hybrid decoder by matching the injection to each layer type: learned key–value prefixes in the full-attention minority, and a trainable initial recurrent state (S0) in the gated-delta majority. Training only 22.3 million parameters (0.55%), this layer-type-aware adaptation reduces mean absolute error (MAE) by a factor of 2.3 relative to prefixes alone on a preliminary single-cell diagnostic. On the final four-billion-parameter configuration, the same comparison yields a factor of 1.86: pooled mean absolute error decreases from 2.18% for key–value prefixes alone to 1.17% for the full adapter. The nickel-based drive-cycle pool is 1.17% MAE on 18,712 windows. That pool does not include LFP. The LFP value on shared files is a fit of 1.22%. Held-out files of the same cell reach 2.53% in a separate run, and the nickel-based pool of that run is 1.24%. This represents parity with dedicated dense-LLM estimators without claiming superiority over compact conventional observers. On the same drive-cycle split, a gated recurrent unit with 0.2 million parameters reaches 1.18% pooled MAE, and the adapter reaches 1.17%. Instead, the primary contribution is mechanistic. We demonstrate that 98.4% of the residual error is a constant per-window offset on that diagnostic. On this configuration, a constant per-window offset accounts for 0.98 of the residual energy. The estimate therefore behaves as a near-exact Coulomb integration after an initial-condition inverse problem at t=0. Compact models trained on the same windows show the same offset-dominated residual, so this pattern is a property of the short-window task as well as of the backbone. This factorization is consistent with the observed failure regimes—concentration of error below 0 °C, and a zero-shot LFP error of 12% MAE on the reference range of about 0–47% state of charge, about ten times the nickel-based pool. Held-out files of an LFP cell partly seen in training reach 2.53% in a separate run. Consequently, we argue that the engineering target for LLM-based battery estimation should transition from expanding backbone capacity to explicitly conditioning the initial state.

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BibTeX
@article{druzhinin2026what,
  title = {{What Limits Lithium-Ion Battery State of Charge Estimation with a Hybrid Large Language Model? Layer Type Aware Adaptation and the Initial Condition Bottleneck}},
  author = {Alexey A. Druzhinin},
  journal = {Batteries},
  year = {2026},
  month = oct,
  doi = {10.3390/batteries12100427},
  url = {https://www.mdpi.com/2313-0105/12/10/427},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - What Limits Lithium-Ion Battery State of Charge Estimation with a Hybrid Large Language Model? Layer Type Aware Adaptation and the Initial Condition Bottleneck
AU  - Alexey A. Druzhinin
PY  - 2026
DA  - 2026/10/15
JO  - Batteries
DO  - 10.3390/batteries12100427
UR  - https://www.mdpi.com/2313-0105/12/10/427
AB  - State of charge (SoC) is the unobserved quantity that a battery management system must reconstruct from terminal voltage, current and temperature. Recent estimators adapt frozen large language models by prompt-tuning the key–value cache of a dense decoder, an interface that does not exist in the linear-attention majority of current hybrid models. We adapt a frozen four-billion-parameter hybrid decoder by matching the injection to each layer type: learned key–value prefixes in the full-attention minority, and a trainable initial recurrent state (S0) in the gated-delta majority. Training only 22.3 million parameters (0.55%), this layer-type-aware adaptation reduces mean absolute error (MAE) by a factor of 2.3 relative to prefixes alone on a preliminary single-cell diagnostic. On the final four-billion-parameter configuration, the same comparison yields a factor of 1.86: pooled mean absolute error decreases from 2.18% for key–value prefixes alone to 1.17% for the full adapter. The nickel-based drive-cycle pool is 1.17% MAE on 18,712 windows. That pool does not include LFP. The LFP value on shared files is a fit of 1.22%. Held-out files of the same cell reach 2.53% in a separate run, and the nickel-based pool of that run is 1.24%. This represents parity with dedicated dense-LLM estimators without claiming superiority over compact conventional observers. On the same drive-cycle split, a gated recurrent unit with 0.2 million parameters reaches 1.18% pooled MAE, and the adapter reaches 1.17%. Instead, the primary contribution is mechanistic. We demonstrate that 98.4% of the residual error is a constant per-window offset on that diagnostic. On this configuration, a constant per-window offset accounts for 0.98 of the residual energy. The estimate therefore behaves as a near-exact Coulomb integration after an initial-condition inverse problem at t=0. Compact models trained on the same windows show the same offset-dominated residual, so this pattern is a property of the short-window task as well as of the backbone. This factorization is consistent with the observed failure regimes—concentration of error below 0 °C, and a zero-shot LFP error of 12% MAE on the reference range of about 0–47% state of charge, about ten times the nickel-based pool. Held-out files of an LFP cell partly seen in training reach 2.53% in a separate run. Consequently, we argue that the engineering target for LLM-based battery estimation should transition from expanding backbone capacity to explicitly conditioning the initial state.
SN  - 2313-0105
ER  -