Modeling Li-ion Battery Capacity Depletion in a Particle Filtering Framework



Published Mar 26, 2021
Bhaskar Saha Kai Goebel


This paper presents an empirical model to describe battery behavior during individual discharge cycles as well as over its cycle life. The basis for the form of the model has been linked to the internal processes of the battery and validated using experimental data. Subsequently, the model has been used in a Particle Filtering framework to make predictions of remaining useful life for individual discharge cycles as well as for cycle life. The prediction performance was found to be satisfactory as measured by performance metrics customized for prognostics. The work presented here provides initial steps towards a comprehensive health management solution for energy storage devices.

How to Cite

Saha, B. ., & Goebel, K. . (2021). Modeling Li-ion Battery Capacity Depletion in a Particle Filtering Framework. Annual Conference of the PHM Society, 1(1). Retrieved from
Abstract 1956 | PDF Downloads 757



accelerated testing, batteries, health algorithms, battery power management, lithium-ion batteries, particle filtering, physics of failure, remaining useful life (RUL), state of charge estimation

(Bhangu et al., 2005) B. S. Bhangu, P. Bentley, D. A. Stone, and C. M. Bingham. Nonlinear Observers for Predicting State-of-Charge and State-of-Health of Lead-Acid Batteries for Hybrid-Electric Vehicles, IEEE Transactions on Vehicular Technology, vol. 54, no. 3, pp. 783-794, 2005.
(Blanke et al., 2005) H. Blanke, O. Bohlen, S. Buller, R. W. De Doncker, B. Fricke, A. Hammouche, D. Linzen, M. Thele, and D. U. Sauer. Impedance Measurements on Lead-acid Batteries for State-of- Charge, State-of-Health and Cranking Capability Prognosis in Electric and Hybrid Electric Vehicles,Journal of Power Sources, vol. 144, no. 2, pp. 418-425, 2005.
(Buchmann, 2001) I. Buchmann. Will Lithium-Ion batteries power the new millennium?, Article5-Page1.asp.
(CA ISO, 2008) California ISO. 2008 Summer Loads and Resources Operations Preparedness Assessment,
(Cox and Perez-Kite, 2000) D. C. Cox and R. Perez-Kite. Battery State of Health Monitoring, Combining Conductance Technology with other Measurement Parameters for Real-time Battery Performance Analysis, in Proceedings of 22nd International Telecommunications Energy Conference, INTELEC, pp. 342-347, 2000.
(Fein, 2003) G. S. Fein. Battery Supplies Ran Dangerously Low in Iraq, National Defense Magazine, Sep 2003.
(Gao et al., 2002) L. Gao, S. Liu, and R. A. Dougal. Dynamic Lithium-Ion Battery Model for System Simulation, IEEE Transactions on Components and Packaging Technologies, vol. 25, no. 3, pp. 495- 505, 2002.
(Goebel et al., 2008) K. Goebel, B. Saha, A. Saxena, J. R. Celaya, and J. Christophersen. Prognostics in Battery Health Management, IEEE Instrumentation and Measurements Magazine, vol. 11, no. 4, pp. 33– 40, 2008.
(Gordon et al., 1993) N. J. Gordon, D. J. Salmond, and A. F. M. Smith (1993, April). Novel Approach to Nonlinear/Non-Gaussian Bayesian State Estimation, Radar and Signal Processing, IEE Proceedings F, vol. 140, no. 2, pp. 107-113, 1993.
(Hartley and Jannette, 2005) T. Hartley and A. G. Jannette. A First Principles Model for Nickel- Hydrogen Batteries, in Proceedings of American Institute of Aeronautics and Astronautics’ 3rd International Energy Conversion Engineering Conference, San Francisco, CA, Aug 2005.
(Hartmann II, 2008) R. L. Hartmann II. An Aging Model for Lithium-Ion Cells, PhD dissertation, University of Akron, 2008.
(HowStuffWorks, 2000) HowStuffWorks. Why do batteries seem to go dead and then come back to life if you let them rest?, http://electronics.howstuff
(Huggins, 2008) R. Huggins. Advanced Batteries: Materials Science Aspects, 1st ed., Springer, 2008. (Jaworski, 1999) R. K. Jaworski. Statistical Parameters
Model for Predicting Time to Failure of Telecommunications Batteries, in Proceedings of 21st International Telecommunications Energy Conference, INTELEC, 1999.
(Kozlowski, 2003) J. D. Kozlowski. Electrochemical Cell Prognostics Using Online Impedance Measurements and Model-based Data Fusion Techniques, in Proceedings of IEEE Aerospace Conference 2003, vol.7 pp. 3257-3270, 2003.
(Meissner and Richter, 2003) E. Meissner and G. Richter. Battery Monitoring and Electrical Energy Management - Precondition for Future Vehicle Electric Power Systems, Journal of Power Sources, vol. 116, no. 1, pp. 79-98, 2003.
(PKIDs, 2009) PKIDs. PKIDs goes Green, PKIDs Online,
(Plett, 2004) G. L. Plett. Extended Kalman Filtering for Battery Management Systems of LiPB-based HEV Battery Packs, Parts 1–3, Journal of Power Sources, vol. 134, issue 2, pp. 252–292, 2004.
(Rufus et al., 2008) F. Rufus, S. Lee, and A. Thakker. Health Monitoring Algorithms for Space Application Batteries, in Proceedings of International Conference on Prognostics and Health Management, 2008, PHM 2008, Denver, CO, Oct 2008.
(Saha et al., 2009) B. Saha, K. Goebel, S. Poll, and J. Christophersen. Prognostics Methods for Battery Health Monitoring Using a Bayesian Framework, IEEE Transactions on Instrumentation and Measurement, vol.58, no.2, pp. 291-296, 2009.
(Santhanagopalan et al., 2008) S. Santhanagopalan, Q. Zhang, K. Kumaresan, and R. E. White. Parameter Estimation and Life Modeling of Lithium-Ion Cells, Journal of The Electrochemical Society, vol. 155, no. 4, pp. A345-A353, 2008.
(Saxena et al., 2008) A. Saxena, J. Celaya, E. Balaban, K. Goebel, B. Saha, S Saha, and M. Schwabacher. Metrics for Evaluating Performance of Prognostic Techniques, in Proceedings of Intl. Conf. on Prognostics and Health Management, Denver, CO, Oct 2008.
(Stamps et al., 2005) A. T. Stamps, C. E. Holland, R. E. White, and E. P. Gatzke. “Analysis of Capacity Fade in a Lithium Ion Battery.” Journal of Power Sources, vol. 150, pp. 229-239, 2005.
(Vutetakis and Viswanathan, 1995) D. G. Vutetakis and V. V. Viswanathan. Determining the State-of- Health of Maintenance-Free Aircraft Batteries, in Proceedings of Tenth Annual Battery Conference on Applications and Advances, Proceedings, pp. 13-18, 1995.
Technical Research Papers

Most read articles by the same author(s)

1 2 3 4 5 > >>