Parallel iterated posterior linearization smoother for estimation of battery parameters and state of charge in logarithmic time

Yang, Rui, Garcia-Fernandez, Angel F ORCID: 0000-0002-6471-8455 and Lee, Che-Rung (2025) Parallel iterated posterior linearization smoother for estimation of battery parameters and state of charge in logarithmic time JOURNAL OF ENERGY STORAGE, 133. 117909-. ISSN 2352-152X, 2352-1538

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Abstract

In this paper, we propose a parallel algorithm to efficiently estimate battery parameters and the battery state of charge (SOC). By leveraging the posterior linearization framework, we address the problem of parameter identification and SOC estimation using full-batch data. The proposed method combines the parallel iterated posterior linearisation smoother (IPLS) with gradient descent optimization, specifically the Adam optimizer, to maximize the marginal likelihood of the model parameters. This approach enables parallel computation of the marginal likelihood by reconstructing it from predictive densities obtained during parallel filtering. Notably, the parallel algorithm achieves O(logN) span complexity, where N is the number of time steps, significantly improving computational efficiency over sequential algorithms. The provided test results, including simulations and DST and BJDST experimental data, demonstrate that the parallel framework surpasses the sequential counterpart in speed and achieves logarithmic time complexity when run a highly parallel graphics processing unit (GPU). The parallel IPLS shows strong scalability and efficiency, making it an ideal solution for battery estimation problems in a long time series. All authors approved the final version of the manuscript

Item Type:	Article
Uncontrolled Keywords:	State of charge, Parameter estimation, Kalman filter, Iterated posterior linearization smoother, Parallel processing
Divisions:	Faculty of Science & Engineering Faculty of Science & Engineering > School of Engineering Faculty of Science & Engineering > School of Engineering > Electrical Engineering and Electronics
Depositing User:	Symplectic Admin
Date Deposited:	26 Jan 2026 15:08
Last Modified:	16 Jun 2026 10:45
DOI:	10.1016/j.est.2025.117909
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3196697
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