A Control Oriented Fractional-Order Model of Lithium-ion Batteries Based on Caputo Definition
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910951971749888 |
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| author | Xu, Yangyang Zhao, Hongyu Zhang, Chengzhong Liao, Chenglin |
| author_facet | Xu, Yangyang Zhao, Hongyu Zhang, Chengzhong Liao, Chenglin |
| contents | This letter proposes a fractional-order battery model based on the Caputo definition. A closed-form time-domain solution is derived, enabling a simple recursive expression for discrete-time implementation. The model requires only the current and previous time-step states in each iteration, significantly reducing memory usage compared to the conventional Grünwald--Letnikov (G-L) method. This recursive structure is highly compatible with filter design and online parameter identification. Experimental validation on a 40.2~Ah NCM622 cell shows that the proposed first-order model achieves voltage prediction accuracy comparable to a second-order integer-order model. The results demonstrate that the Caputo-based model offers a practical balance between accuracy and computational efficiency, making it well suited for real-time battery management systems (BMS). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12725 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Control Oriented Fractional-Order Model of Lithium-ion Batteries Based on Caputo Definition Xu, Yangyang Zhao, Hongyu Zhang, Chengzhong Liao, Chenglin Systems and Control This letter proposes a fractional-order battery model based on the Caputo definition. A closed-form time-domain solution is derived, enabling a simple recursive expression for discrete-time implementation. The model requires only the current and previous time-step states in each iteration, significantly reducing memory usage compared to the conventional Grünwald--Letnikov (G-L) method. This recursive structure is highly compatible with filter design and online parameter identification. Experimental validation on a 40.2~Ah NCM622 cell shows that the proposed first-order model achieves voltage prediction accuracy comparable to a second-order integer-order model. The results demonstrate that the Caputo-based model offers a practical balance between accuracy and computational efficiency, making it well suited for real-time battery management systems (BMS). |
| title | A Control Oriented Fractional-Order Model of Lithium-ion Batteries Based on Caputo Definition |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2505.12725 |