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Article

Dual-Modal Mixture-of-KAN Network for Lithium-Ion Battery State-of-Health Estimation Using Early Charging Data

School of Automation, Central South University, Changsha 410083, China
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Author to whom correspondence should be addressed.
Energies 2026, 19(2), 335; https://doi.org/10.3390/en19020335
Submission received: 11 December 2025 / Revised: 4 January 2026 / Accepted: 7 January 2026 / Published: 9 January 2026

Abstract

Accurate estimation of the state of health (SOH) of lithium-ion batteries is crucial for the safe operation of electric vehicles and energy storage systems. However, most existing methods rely on complete charging curves or manual feature engineering, making them difficult to adapt to practical scenarios where only limited charging segments are available. To fully exploit degradation information from limited charging data, this paper proposes a dual-modal mixture of Kolmogorov–Arnold network (DM-MoKAN) for lithium-ion battery SOH estimation using only early-stage constant-current charging voltage data. The proposed method incorporates three synergistic modules: an image branch, a sequence branch, and a dual-modal fusion regression module. The image branch converts one-dimensional voltage sequences into two-dimensional Gramian Angular Difference Field (GADF) images and extracts spatial degradation features through a lightweight network integrating Ghost convolution and efficient channel attention (ECA). The sequence branch employs a patch-based Transformer encoder to directly model local patterns and long-range dependencies in the raw voltage sequence. The dual-modal fusion module concatenates features from both branches and feeds them into a MoKAN regression head composed of multiple KAN experts and a gating network for adaptive nonlinear mapping to SOH. Experimental results demonstrate that DM-MoKAN outperforms various baseline methods on both Oxford and NASA datasets, achieving average RMSE/MAE of 0.28%/0.19% and 0.89%/0.71%, respectively. Ablation experiments further verify the effective contributions of the dual-modal fusion strategy, ECA attention mechanism, and MoKAN regression head to estimation performance improvement.
Keywords: lithium-ion battery; state of health estimation; Gramian Angular Difference Field; dual-modal fusion; Kolmogorov–Arnold Network lithium-ion battery; state of health estimation; Gramian Angular Difference Field; dual-modal fusion; Kolmogorov–Arnold Network

Share and Cite

MDPI and ACS Style

Wang, Y.; Zhang, Z.; Zhang, F. Dual-Modal Mixture-of-KAN Network for Lithium-Ion Battery State-of-Health Estimation Using Early Charging Data. Energies 2026, 19, 335. https://doi.org/10.3390/en19020335

AMA Style

Wang Y, Zhang Z, Zhang F. Dual-Modal Mixture-of-KAN Network for Lithium-Ion Battery State-of-Health Estimation Using Early Charging Data. Energies. 2026; 19(2):335. https://doi.org/10.3390/en19020335

Chicago/Turabian Style

Wang, Yun, Ziyang Zhang, and Fan Zhang. 2026. "Dual-Modal Mixture-of-KAN Network for Lithium-Ion Battery State-of-Health Estimation Using Early Charging Data" Energies 19, no. 2: 335. https://doi.org/10.3390/en19020335

APA Style

Wang, Y., Zhang, Z., & Zhang, F. (2026). Dual-Modal Mixture-of-KAN Network for Lithium-Ion Battery State-of-Health Estimation Using Early Charging Data. Energies, 19(2), 335. https://doi.org/10.3390/en19020335

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