Online State of Charge Estimation of Lithium-Ion Cells Using Particle Filter-Based Hybrid Filtering Approach
Open accessAbstract
Filtering based state of charge (SOC) estimation with an equivalent circuit model is commonly extended to Lithium-ion (Li-ion) batteries for electric vehicle (EV) or similar energy storage applications. During the last several decades, different implementations of online parameter identification such as Kalman filters have been presented in literature. However, if the system is a moving EV during rapid acceleration or regenerative braking or when using heating or air conditioning, most of the existing works suffer from poor prediction of state and state estimation error covariance, leading to the problem of accuracy degeneracy of the algorithm. On this account, this paper presents a particle filter-based hybrid filtering method particularly for SOC estimation of Li-ion cells in EVs. A sampling importance resampling particle filter is used in combination with a standard Kalman filter and an unscented Kalman filter as a proposal distribution for the particle filter to be made much faster and more accurate. Test results show that the error on the state estimate is less than 0.8% despite additive current measurement noise with 0.05 A deviation.
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Kalman filter is important in SOC estimation because it can accommodate noisy sensor information and model uncertainties.
“Kalman filter is important in SOC estimation because it can accommodate noisy information from the sensors as well as uncertainties in the model [58].”
From Review Paper for SOC Estimation Techniques: Challenges and Future Areas for Improvement (2024) · cites this paper as [58]
The Introduction describes a coupled Kalman filter used for preliminary SOC estimation while accounting for linear and nonlinear model parameters. Section 2.3.2 also describes adding Gaussian noise to the measurements. The paper does not establish that a Kalman filter alone accommodates both sensor noise and model uncertainty; its proposed method uses a particle filter to correct the Kalman-filter SOC estimate. (LLM, conf=0.83)
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References 54 · Cited by 62
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- N. A. Chaturvedi, R. Klein, J. Christensen, J. Ahmed, and A. Kojic, "Algorithms for advanced battery-management systems, " IEEE Control Systems Magazine, vol. 30, pp. 49-68, 2010.
- M. T. Lawder, B. Suthar, P. W. C. Northrop et al., "Battery energy storage system (BESS) and battery management system (BMS) for grid-scale applications, " Proceedings of the IEEE, vol. 102, pp. 1014-1030, 2014.
- F. Helling, S. Götz, and T. Weyh, "A battery modular multilevel management system (BM3) for electric vehicles and stationary energy storage systems, " in 2014 16th European Conference on Power Electronics and Applications, pp. 1-10, IEEE, Lappeenranta, Finland, 2014.
- C. Campestrini, M. F. Horsche, I. Zilberman, T. Heil, T. Zimmermann, and A. Jossen, "Validation and benchmark methods for battery management system functionalities: state of charge estimation algorithms, " Journal of Energy Storage, vol. 7, pp. 38-51, 2016.
- Y. Xing, W. He, M. Pecht, and K. L. Tsui, "State of charge estimation of lithium-ion batteries using the open-circuit voltage at various ambient temperatures, " Applied Energy, vol. 113, pp. 106-115, 2014.
- K. S. Ng, C. S. Moo, Y. P. Chen, and Y. C. Hsieh, "Enhanced coulomb counting method for estimating state-of-charge and state-of-health of lithium-ion batteries, " Applied Energy, vol. 86, no. 9, pp. 1506-1511, 2009.
- Y. Tian, B. Z. Xia, W. Sun, Z. H. Xu, and W. W. Zheng, "A modified model based state of charge estimation of power lithium-ion batteries using unscented kalman filter, " Journal of Power Sources, vol. 270, pp. 619-626, 2014.
- Q. Chen, J. C. Jiang, S. J. Liu, and C. P. Zhang, "A novel sliding mode observer for state of charge estimation of EV lithium batteries, " Journal of Power Electronics, vol. 16, no. 3, pp. 1131- 1140, 2016.
- X. Hu, S. Li, and Y. Yang, "Advanced machine learning approach for lithium-ion battery state estimation in electric vehicles, " IEEE Transactions on Transportation Electrification, vol. 2, no. 2, pp. 140-149, 2016.
- G. O. Sahinoglu, M. Pajovic, Z. Sahinoglu, Y. Wang, P. V. Orlik, and T. Wada, "Battery state-of-charge estimation based on regular/recurrent gaussian process regression, " IEEE Transactions on Industrial Electronics, vol. 65, no. 5, pp. 4311- 4321, 2018.
- T. Yokoshima, D. Mukoyama, K. Nakazawa et al., "Application of electrochemical impedance spectroscopy to ferri/ferrocyanide redox couple and lithium ion battery systems using a square wave as signal input, " Electrochimica Acta, vol. 180, pp. 922-928, 2015.
- B. Xia, C. Chen, Y. Tian, W. Sun, Z. Xu, and W. Zheng, "A novel method for state of charge estimation of lithium-ion batteries using a nonlinear observer, " Journal of Power Sources, vol. 270, pp. 359-366, 2014.
- Y. Tian, C. R. Chen, B. Z. Xia, W. Sun, Z. H. Xu, and W. W. Zheng, "An adaptive gain nonlinear observer for state of charge estimation of lithium-ion batteries in electric vehicles, " Energies, vol. 7, no. 9, pp. 5995-6012, 2014.
- Q. Yu, R. Xiong, C. Lin, W. Shen, and J. Deng, "Lithium-ion battery parameters and state-of-charge joint estimation based on H-infinity and unscented kalman filters, " IEEE Transactions on Vehicular Technology, vol. 66, no. 10, pp. 8693-8701, 2017.
- J. Xie, J. Ma, Y. Sun, and Z. Li, "Estimating the state-of-charge of lithium-ion batteries using an H-infinity observer with consideration of the hysteresis characteristic, " Journal of Power Electronics, vol. 16, no. 2, pp. 643-653, 2016.
- S. Li, C. Zou, M. Küpper, and S. Pischinger, "Model-based state of charge estimation algorithms under various current patterns, " Energy Procedia, vol. 158, pp. 2806-2811, 2019.
- X. Lai, Y. Zheng, and T. Sun, "A comparative study of different equivalent circuit models for estimating state-of-charge of lithium-ion batteries, " Electrochimica Acta, vol. 259, pp. 566- 577, 2018.
- X. Lai, W. Gao, Y. Zheng et al., "A comparative study of global optimization methods for parameter identification of different equivalent circuit models for Li-ion batteries, " Electrochimica Acta, vol. 295, pp. 1057-1066, 2019.
- M. A. Hannan, M. S. H. Lipu, A. Hussain, and A. Mohamed, "A review of lithium-ion battery state of charge estimation and management system in electric vehicle applications: challenges and recommendations, " Renewable and Sustainable Energy Reviews, vol. 78, pp. 834-854, 2017.
- F. Yang, Y. Xing, D. Wang, and K. L. Tsui, "A comparative study of three model-based algorithms for estimating state-of-charge of lithium-ion batteries under a new combined dynamic loading profile, " Applied Energy, vol. 164, pp. 387-399, 2016.
- J. Li, J. K. Barillas, C. Guenther, and M. A. Danzer, "A comparative study of state of charge estimation algorithms for LiFePO 4 batteries used in electric vehicles, " Journal of Power Sources, vol. 230, pp. 244-250, 2013.
- J. K. Barillas, J. Li, C. Günther, and M. A. Danzer, "A comparative study and validation of state estimation algorithms for Li-ion batteries in battery management systems, " Applied Energy, vol. 155, pp. 455-462, 2015.
- C. Campestrini, T. Heil, S. Kosch, and A. Jossen, "A comparative study and review of different kalman filters by applying an enhanced validation method, " Journal of Energy Storage, vol. 8, pp. 142-159, 2016.
- H. S. Ramadan, M. Becherif, and F. Claude, "Extended kalman filter for accurate state of charge estimation of lithium-based batteries: a comparative analysis, " International Journal of Hydrogen Energy, vol. 42, no. 48, pp. 29033-29046, 2017.
- Y. Zheng, M. Ouyang, X. Han, L. Lu, and J. Li, "Investigating the error sources of the online state of charge estimation methods for lithium-ion batteries in electric vehicles, " Journal of Power Sources, vol. 377, pp. 161-188, 2018.
- G. L. Plett, "Extended kalman filtering for battery management systems of LiPB-based HEV battery packs: part 1. Background, " Journal of Power Sources, vol. 134, no. 2, pp. 252-261, 2004.
- K. Bundy, M. Karlsson, G. Lindbergh, and A. Lundqvist, "An electrochemical impedance spectroscopy method for prediction of the state of charge of a nickel-metal hydride battery at open circuit and during discharge, " Journal of Power Sources, vol. 72, no. 2, pp. 118-125, 1998.
- S. Sepasi, R. Ghorbani, and B. Y. Liaw, "A novel on-board state- of-charge estimation method for aged Li-ion batteries based on model adaptive extended kalman filter, " Journal of Power Sources, vol. 245, pp. 337-344, 2014.
- J. Xu, C. C. Mi, B. G. Cao, J. J. Deng, Z. Chen, and S. Q. Li, " e state of charge estimation of lithium-ion batteries based on a proportional-integral observer, " IEEE Transactions on Vehicular Technology, vol. 63, no. 4, pp. 1614-1621, 2014.
- H. Aung, K. S. Low, and S. T. Goh, "State-of-charge estimation of lithium-ion battery using square root spherical unscented kalman filter (Sqrt-UKFST) in nanosatellite, " IEEE Transactions on Power Electronics, vol. 30, no. 9, pp. 4774-4783, 2015.
- J. Chen, Q. Ouyang, C. Xu, and H. Su, "Neural network-based state of charge observer design for lithium-ion batteries, " IEEE Transactions on Control Systems Technology, vol. 26, no. 1, pp. 313-320, 2018.
- D. Jiménez-Bermejo, J. Fraile-Ardanuy, S. Castaño-Solis, J. Merino, and R. Álvaro-Hermana, "Using dynamic neural networks for battery state of charge estimation in electric vehicles, " Procedia Computer Science, vol. 130, pp. 533-540, 2018.
- E. Chemali, P. J. Kollmeyer, M. Preindl, and A. Emadi, "State- of-charge estimation of Li-ion batteries using deep neural networks: a machine learning approach, " Journal of Power Sources, vol. 400, pp. 242-255, 2018.
- T. Zahid, K. Xu, W. Li, C. Li, and H. Li, "State of charge estimation for electric vehicle power battery using advanced machine learning algorithm under diversified drive cycles, " Energy, vol. 162, pp. 871-882, 2018.
- A. Tulsyan, Y. Tsai, R. B. Gopaluni, and R. D. Braatz, "State- of-charge estimation in lithium-ion batteries: a particle filter approach, " Journal of Power Sources, vol. 331, pp. 208-223, 2016.
- D. E. Acuña and M. E. Orchard, "Particle-filtering-based failure prognosis via sigma-points: application to lithium-ion battery state-of-charge monitoring, " Mechanical Systems and Signal Processing, vol. 85, pp. 827-848, 2017.
- Z. Chen, H. Su, G. Dong, and J. Wu, "Particle filterbased state-of-charge estimation and remaining-dischargeable-time prediction method for lithium-ion batteries, " Journal of Power Sources, vol. 414, pp. 158-166, 2019.
- D. M. Zhou, K. Zhang, A. Ravey, F. Gao, and A. Miraoui, "Online estimation of lithium polymer batteries state-of-charge using particle filter-based data fusion with multimodels approach, " IEEE Transactions on Industry Applications, vol. 52, no. 3, pp. 2582-2595, 2016.
- D. J. Lim, J. H. Ahn, D. H. Kim, and B. K. Lee, "A mixed SOC estimation algorithm with high accuracy in various driving patterns of EVs, " Journal of Power Electronics, vol. 16, no. 1, pp. 27-37, 2016.
- C. Zou, X. Hu, S. Dey, L. Zhang, and X. Tang, "Nonlinear fractional-order estimator with guaranteed robustness and stability for lithium-ion batteries, " IEEE Transactions on Industrial Electronics, vol. 65, no. 7, pp. 5951-5961, 2018. and identification, " Journal of Power Sources, vol. 134, no. 2, pp. 262-276, 2004.
- G. L. Plett, "Extended kalman filtering for battery management systems of LiPB-based HEV battery packs: part 3. State and parameter estimation, " Journal of Power Sources, vol. 134, no. 2, pp. 277-292, 2004.
- X. Han, M. Ouyang, L. Lu, and J. Li, "Simplification of physics- based electrochemical model for lithium ion battery on electric vehicle. Part II: pseudo-two-dimensional model simplification and state of charge estimation, " Journal of Power Sources, vol. 278, pp. 814-825, 2015.
- A. M. Bizeray, S. Zhao, S. R. Duncan, and D. A. Howey, "Lithium-ion battery thermal-electrochemical model-based state estimation using orthogonal collocation and a modified extended kalman filter, " Journal of Power Sources, vol. 296, pp. 400-412, 2015.
- M. Ouyang, G. Liu, L. Lu, J. Li, and X. Han, "Enhancing the estimation accuracy in low state-of-charge area: a novel onboard battery model through surface state of charge determination, " vol. 270, pp. 221-237, 2014.
- K. Wang, J. B. Pang, L. W. Li, S. Z. Zhou, Y. H. Li, and T. Z. Zhang, "Synthesis of hydrophobic carbon nanotubes/ reduced graphene oxide composite films by flash light irradiation, " Frontiers of Chemical Science and Engineering, vol. 12, no. 3, pp. 376-382, 2018.
- K. Wang, L. W. Li, Y. Lan, P. Dong, and G. T. Xia, "Application research of chaotic carrier frequency modulation technology in two-stage matrix converter, " Mathematical Problems in Engineering, vol. 2019, Article ID 2614327, 8 pages, 2019.
- K. Wang, S. Z. Zhou, Y. T. Zhou, J. Ren, L. W. Li, and Y. Lan, "Synthesis of porous carbon by activation method and its electrochemical performance, " International Journal of Electrochemical Science, vol. 13, pp. 10766-10773, 2018.
- Y. T. Zhou, Y. N. Huang, J. B. Pang, and K. Wang, "Remaining useful life prediction for supercapacitor based on long short- term memory neural network, " Journal of Power Sources, vol. 440, Article ID 227149, 2019.
- D. L. Yuan, C. Zhang, S. F. Tang et al., "Enhancing CaO 2 fenton-like process by Fe(II)-oxalic acid complexation for organic wastewater treatment, " Water Research, vol. 163, Article ID 114861, 2019.
- K. Wang, L. W. Li, W. Xue et al., "Electrodeposition synthesis of PANI/MnO 2 /graphene composite materials and its electrochemical performance, " International Journal of Electrochemical Science, vol. 12, pp. 8306-8314, 2017.
- G. T. Xia, C. Li, K. Wang, and L. W. Li, "Structural design and electrochemical performance of PANI/CNTs and MnO 2 /CNTs supercapacitor, " Science of Advanced Materials, vol. 11, no. 8, pp. 1079-1086, 2019.
- K. Wang, L. W. Li, T. Z. Zhang, and Z. F. Liu, "Nitrogen-doped graphene for supercapacitor with long-term electrochemical stability, " Energy, vol. 70, pp. 612-617, 2014.
- L. Zhao, L. Kang, and S. Yao, "Research and application of acoustic emission signal processing technology, " IEEE Access, vol. 7, pp. 984-993, 2019.
- Authors
- Zhang, M., Wang, K., & Zhou, Y.-T.
- Affiliations
- Qingdao University (CN)
- College of Electrical Engineering, Qingdao University, Qingdao 266071, China
- Corresponding author
- Wang, Kai
- Venue
- Complexity
- Publisher
- Wiley
- Published
- 2020-01-10
- Volume
- 2020
- Pages
- 1-10
- ISSN
- 1076-2787 (ISSN-L)
- 1099-0526
- OpenAlex
- W3000072960
- Cited by
- 62
- References
- 54
- Citations by year
- 2026: 3 · 2025: 5 · 2024: 7 · 2023: 19 · 2022: 13 · 2021: 10 · 2020: 5
- FWCI
- 4.35
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Complexity (publishedVersion, cc-by)
- RePEc: Research Papers in Economics (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- Department of Science and Technology of Shandong Province (2019GGX103022)
- Topics
- Physical Sciences › Engineering › Automotive Engineering › Advanced Battery Technologies Research
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Computer Science › Artificial Intelligence › Target Tracking and Data Fusion in Sensor Networks
- Keywords
- state of charge estimation, lithium-ion batteries, particle filter, hybrid filtering, sampling importance resampling, unscented Kalman filter, Kalman filter, equivalent circuit model, electric vehicles, online parameter estimation, error covariance
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