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Recent Advances in Computational Models for the Discrete and Continuous Optimization of Industrial Process Systems Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Single Particle Models for the Numerical Simulation of Lithium-Ion Cells

Authors : Alfredo Ríos-Alborés, Jerónimo Rodríguez

Published in: Advances on Links Between Mathematics and Industry

Publisher: Springer International Publishing

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Abstract

In the design of Battery Management Systems (BMS) for a lithium-ion cell, it is crucial to accurately simulate the device in real time using mathematical models. Often, Equivalent Circuit Models (ECM) are used to this end, due to their simplicity and efficiency. However, they are purely phenomenological (their parameters are fitted to emulate empirical data) and their internal variables lack physical meaning. On the other hand, the most popular physics-based electrochemical model in the literature, the pseudo-two-dimensional (P2D) model, presents a high computational cost. In this paper, we review the single particle model (SPM), a physics-based model of reduced complexity that is suitable for real-time applications.

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previous chapter Modeling and Numerical Simulation of the Quenching Heat Treatment. Application to the Industrial Quenching of Automotive Spindles
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Footnotes
Literature
1.
Alnæs, M., Blechta, J., Hake, J., Johansson, A., Kehlet, B., Logg, A., Richardson, C., Ring, J., Rognes, M.E., Wells, G.N.: The fenics project version 1.5. Arch. Numer. Softw. 3(100) (2015)
2.
Baba, N., Yoshida, H., Nagaoka, M., Okuda, C., Kawauchi, S.: Numerical simulation of thermal behavior of lithium-ion secondary batteries using the enhanced single particle model. J. Power Sour. 252, 214–228 (2014)CrossRef
3.
Balakrishnan, P., Ramesh, R., Kumar, T.P.: Safety mechanisms in lithium-ion batteries. J. Power Sour. 155(2), 401–414 (2006)CrossRef
4.
Biensan, P., Simon, B., Peres, J., De Guibert, A., Broussely, M., Bodet, J., Perton, F.: On safety of lithium-ion cells. J. Power Sour. 81, 906–912 (1999)CrossRef
5.
Cai, L., White, R.E.: Reduction of model order based on proper orthogonal decomposition for lithium-ion battery simulations. J. Electrochem. Soc. 156(3), A154–A161 (2009)CrossRef
6.
Chu, Z., Plett, G.L., Trimboli, M.S., Ouyang, M.: A control-oriented electrochemical model for lithium-ion battery, part i: Lumped-parameter reduced-order model with constant phase element. J. Energy Storage 25, 100828 (2019)CrossRef
7.
Di Domenico, D., Stefanopoulou, A., Fiengo, G.: Lithium-ion battery state of charge and critical surface charge estimation using an electrochemical model-based extended kalman filter. J. Dyn. Syst. Meas. Control 132(6), 061302 (2010)
8.
Diouf, B., Pode, R.: Potential of lithium-ion batteries in renewable energy. Renew. Energy 76, 375–380 (2015)CrossRef
9.
Doyle, M., Fuller, T.F., Newman, J.: Modeling of galvanostatic charge and discharge of the lithium/polymer/insertion cell. J. Electrochem. Soc. 140(6), 1526–1533 (1993)CrossRef
10.
Fan, G., Li, X., Canova, M.: A reduced-order electrochemical model of li-ion batteries for control and estimation applications. IEEE Trans. Veh. Technol. 67(1), 76–91 (2017)CrossRef
11.
Forman, J.C., Bashash, S., Stein, J.L., Fathy, H.K.: Reduction of an electrochemistry-based li-ion battery model via quasi-linearization and pade approximation. J. Electrochem. Soc. 158(2), A93–A101 (2011)CrossRef
12.
Giráldez, D.A., Cao-Rial, M.T., Muiños, P.F., Rodríguez, J.: Numerical simulation of a li-ion cell using a thermoelectrochemical model including degradation. In: European Consortium for Mathematics in Industry, pp. 535–543. Springer (2016)
13.
Han, X., Ouyang, M., Lu, L., Li, J.: Simplification of physics-based electrochemical model for lithium ion battery on electric vehicle. part i: Diffusion simplification and single particle model. J. Power Sour. 278, 802–813 (2015)
14.
Kennedy, B., Patterson, D., Camilleri, S.: Use of lithium-ion batteries in electric vehicles. J. Power Sour. 90(2), 156–162 (2000)CrossRef
15.
Li, J., Adewuyi, K., Lotfi, N., Landers, R.G., Park, J.: A single particle model with chemical/mechanical degradation physics for lithium ion battery state of health (soh) estimation. Appl. energy 212, 1178–1190 (2018)CrossRef
16.
Li, J., Lotfi, N., Landers, R.G., Park, J.: A single particle model for lithium-ion batteries with electrolyte and stress-enhanced diffusion physics. J. Electrochem. Soc. 164(4), A874–A883 (2017)CrossRef
17.
Lin, X., Kim, Y., Mohan, S., Siegel, J.B., Stefanopoulou, A.G.: Modeling and estimation for advanced battery management. Ann. Rev. Control Robot. Auton. Syst. 2, 393–426 (2019)CrossRef
18.
Lu, L., Han, X., Li, J., Hua, J., Ouyang, M.: A review on the key issues for lithium-ion battery management in electric vehicles. J. Power Sour. 226, 272–288 (2013)CrossRef
19.
Luo, W., Lyu, C., Wang, L., Zhang, L.: A new extension of physics-based single particle model for higher charge-discharge rates. J. Power Sour. 241, 295–310 (2013)CrossRef
20.
Mazumder, S., Lu, J.: Faster-than-real-time simulation of lithium ion batteries with full spatial and temporal resolution. Int. J. Electrochem. 2013 (2013)
21.
Moura, S.J., Argomedo, F.B., Klein, R., Mirtabatabaei, A., Krstic, M.: Battery state estimation for a single particle model with electrolyte dynamics. IEEE Trans. Control Systems Technol. 25(2), 453–468 (2016)CrossRef
22.
Ning, G., Popov, B.N.: Cycle life modeling of lithium-ion batteries. J. Electrochem. Soc. 151(10), A1584–A1591 (2004)CrossRef
23.
Perez, H., Dey, S., Hu, X., Moura, S.: Optimal charging of li-ion batteries via a single particle model with electrolyte and thermal dynamics. J. Electrochem. Soc. 164(7), A1679–A1687 (2017)CrossRef
24.
Plett, G.L.: Battery management systems. In: Battery Modeling, vol. 1. Artech House (2015)
25.
Plett, G.L.: Battery management systems. In: Equivalent-Circuit Methods, vol. 2. Artech House (2015)
26.
Rahimian, S.K., Rayman, S., White, R.E.: Extension of physics-based single particle model for higher charge-discharge rates. J. Power Sour. 224, 180–194 (2013)CrossRef
27.
Reniers, J.M., Mulder, G., Howey, D.A.: Review and performance comparison of mechanical-chemical degradation models for lithium-ion batteries. J. Electrochem. Soc. 166(14), A3189–A3200 (2019)CrossRef
28.
Santhanagopalan, S., Guo, Q., Ramadass, P., White, R.E.: Review of models for predicting the cycling performance of lithium ion batteries. J. Power Sour. 156(2), 620–628 (2006)CrossRef
29.
Santhanagopalan, S., White, R.E.: Online estimation of the state of charge of a lithium ion cell. J. Power Sour. 161(2), 1346–1355 (2006)CrossRef
30.
Sharma, A.K., Basu, S., Hariharan, K.S., Adiga, S.P., Kolake, S.M., Song, T., Sung, Y.: A closed form reduced order electrochemical model for lithium-ion cells. J. Electrochem. Soc. 166(6), A1197–A1210 (2019)CrossRef
31.
Subramanian, V.R., Ritter, J.A., White, R.E.: Approximate solutions for galvanostatic discharge of spherical particles i. constant diffusion coefficient. J. Electrochem. Soc. 148(11), E444–E449 (2001)
Metadata
Title
Single Particle Models for the Numerical Simulation of Lithium-Ion Cells
Authors
Alfredo Ríos-Alborés
Jerónimo Rodríguez
Copyright Year
2021
Book
Advances on Links Between Mathematics and Industry

Print ISBN: 978-3-030-59222-6

Electronic ISBN: 978-3-030-59223-3

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-59223-3_6

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