Joint Parameter and State of Charge Estimation via Temperature-Decoupled Modeling and Adaptive Multi-Innovation Unscented Kalman Filter

Accurate state of charge (SOC) estimation is essential for reliable battery management systems operating over a wide temperature range. This study proposes a joint estimation framework that combines a temperature-matched dual open-circuit-voltage (OCV)-SOC model, online forgetting-factor recursive least squares (FFRLS), and an adaptive improved multi-innovation unscented Kalman filter (AIMIUKF). The dual OCV-SOC model separately calibrates charging and discharging branches at 0 °C, 25 °C, and 45 °C, reducing the voltage bias caused by thermal dependence and charge–discharge hysteresis. On this corrected voltage baseline, FFRLS identifies the time-varying parameters of the second-order RC equivalent circuit model. The updated parameters are then used by AIMIUKF, where a finite multi-innovation window improves convergence under initial SOC deviation, and covariance matching adjusts process and measurement noise online. Validation on the CALCE 18650 dataset under the Dynamic Stress Test (DST) profile shows sub-1% SOC errors at all tested temperatures.

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Publication Details

Journal
Mathematics
Published
2026-05-27
DOI
https://doi.org/10.3390/math14111863
Primary Topic
Advanced Battery Technologies Research
Type
article
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article

Joint Parameter and State of Charge Estimation via Temperature-Decoupled Modeling and Adaptive Multi-Innovation Unscented Kalman Filter

Dan Tang, Liqing Liao, Lv He, Xiaoyu Dai et al.
Mathematics
Advanced Battery Technologies Research
article

Joint Parameter and State of Charge Estimation via Temperature-Decoupled Modeling and Adaptive Multi-Innovation Unscented Kalman Filter

Dan Tang, Liqing Liao, Lv He, Xiaoyu Dai, Hanqi Wang, Kailong Chu
article en

Abstract

Accurate state of charge (SOC) estimation is essential for reliable battery management systems operating over a wide temperature range. This study proposes a joint estimation framework that combines a temperature-matched dual open-circuit-voltage (OCV)-SOC model, online forgetting-factor recursive least squares (FFRLS), and an adaptive improved multi-innovation unscented Kalman filter (AIMIUKF). The dual OCV-SOC model separately calibrates charging and discharging branches at 0 °C, 25 °C, and 45 °C, reducing the voltage bias caused by thermal dependence and charge–discharge hysteresis. On this corrected voltage baseline, FFRLS identifies the time-varying parameters of the second-order RC equivalent circuit model. The updated parameters are then used by AIMIUKF, where a finite multi-innovation window improves convergence under initial SOC deviation, and covariance matching adjusts process and measurement noise online. Validation on the CALCE 18650 dataset under the Dynamic Stress Test (DST) profile shows sub-1% SOC errors at all tested temperatures.

MathematicsVol. 14(11)
Central South University (CN), China Three Gorges University (CN)
Industry, innovation and infrastructure
Openalex Percentile: Top 9%
Advanced Battery Technologies Research
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