Faster Lead-Acid Battery Simulations from Porous-Electrode Theory: Part II. Asymptotic Analysis
Source abstract
Abstract
Electrochemical and equivalent-circuit modeling are the two most popular approaches to battery simulation, but the former is computationally expensive and the latter provides limited physical insight. A theoretical middle ground would be useful to support battery management, on-line diagnostics, and cell design. We analyze a thermodynamically consistent, isothermal porous-electrode model of a discharging lead-acid battery. Asymptotic analysis of this full model produces three reduced-order models, which relate the electrical behavior to microscopic material properties, but simulate discharge at speeds approaching an equivalent circuit. A lumped-parameter model, which neglects spatial property variations, proves accurate for C-rates below 0.1 C , while a spatially resolved higher-order solution retains accuracy up to 5 C . The problem of parameter estimation is addressed by fitting experimental data with the reduced-order models.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Advanced Battery Technologies Research · Advanced battery technologies research · Thermal Expansion and Ionic Conductivity
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (35)
Show source-provided references
1. 10.1109/60.12454710.1109/60.124547 ↗
2. 10.1149/1.210032210.1149/1.2100322 ↗
3. 10.1016/0013-4686(91)85224-U10.1016/0013-4686(91)85224-U ↗
4. 10.1149/1.222080410.1149/1.2220804 ↗
5. 10.1149/1.183774110.1149/1.1837741 ↗
6. 10.1149/1.205006610.1149/1.2050066 ↗
7. 10.1149/1.183796310.1149/1.1837963 ↗
8. 10.1016/S0378-7753(02)00043-510.1016/S0378-7753(02)00043-5 ↗
9. 10.1016/j.jpowsour.2010.07.08910.1016/j.jpowsour.2010.07.089 ↗
10. 10.1149/1.319051010.1149/1.3190510 ↗
11. Newman J. Thomas-Alyea K. E. , Electrochemical systems, John Wiley & Sons, 2012.
12. 10.1149/2.0301910jes10.1149/2.0301910jes ↗
13. 10.1149/1.306839110.1149/1.3068391 ↗
14. Knauff M. C. , Kalman Filter Based State of Charge Estimation for Valve Regulated Lead Acid Batteries in Wind Power Smoothing Applications. PhD thesis, Drexel University, 2013.
15. 10.1017/CBO978113917218910.1017/CBO9781139172189 ↗
16. Van Rensburg A. Janse . Multi-scale model of a valve-regulated lead-acid battery with electromotive force characterization to investigate irreversible sulphation. PhD thesis, North-West University (South Africa), Potchefstroom Campus, 2016.
17. Dey Satadru Ayalew Beshah , “Nonlinear observer designs for state-of-charge estimation of lithium-ion batteries. In American Control Conference (ACC), 2014, pages 248–253. IEEE, 2014.10.1109/ACC.2014.6858766 ↗
18. 10.1115/1.400247510.1115/1.4002475 ↗
19. Moura S. J. Krstic M. Chaturvedi N. A. , “Adaptive pde observer for battery soc/soh estimation. In ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference, pages 101–110. American Society of Mechanical Engineers, 2012.
20. 10.1016/j.jpowsour.2006.04.14610.1016/j.jpowsour.2006.04.146 ↗
21. 10.1109/TCST.2014.235650310.1109/TCST.2014.2356503 ↗
22. Moyles I. R. Hennessy M. G. Myers T. G. Wetton B. R. , “Asymptotic reduction of a porous electrode model for lithium-ion batteries. arXiv preprint arXiv:1805.07093, 2018.10.1137/18M1189579 ↗
23. Moyles I. R. Hennessy M. G. Myers T. G. Wetton B. R. , “An experimentally validated equivalent circuit model for lithium-ion batteries systematically derived from porous electrode theory. 2018.
24. 10.1016/j.jpowsour.2014.12.10110.1016/j.jpowsour.2014.12.101 ↗
25. Kemper P. Kum D. , “Extended single particle model of li-ion batteries toward high current applications,” In Vehicle Power and Propulsion Conference (VPPC), 2013 IEEE, pages 1–6. IEEE, 2013.10.1109/VPPC.2013.6671682 ↗
26. 10.1109/TCST.2016.257166310.1109/TCST.2016.2571663 ↗
27. 10.1149/2.064209jes10.1149/2.064209jes ↗
28. 10.1016/j.jpowsour.2012.09.08410.1016/j.jpowsour.2012.09.084 ↗
29. 10.1115/1.402815410.1115/1.4028154 ↗
30. Plett G. L. . Battery Management Systems, Volume I: Battery Modeling. Artech House, 2015.
31. Sulzer V. , “Faster Lead-Acid Models. Software on Zenodo,” http://dx.doi.org/10.5281/zenodo.2554000, 2019.
32. 10.1016/j.jpowsour.2015.07.01910.1016/j.jpowsour.2015.07.019 ↗
33. Daigle M. J. Kulkarni C. S. , “Electrochemistry-based battery modeling for prognostics,” 2013.10.36001/phmconf.2013.v5i1.2252 ↗
34. Jones E. Oliphant T. Peterson P. , SciPy: Open source scientific tools for Python,” 2001–. [Online; accessed 23/03/2018].
35. Cartis C. Roberts L. , “A derivative-free gauss-newton method,” arXiv preprint arXiv:1710.11005, 2017.