Properly Lumped Lithium-ion Battery Models: A Tanks-in-Series Approach
Abstract
This article introduces a lumped electrochemical model for lithium-ion batteries. The governing equations of the standard 'pseudo 2-dimensional' (p2D) model are volume-averaged over each region in a cathode-separator-anode representation. This gives a set of equations in which the evolution of each averaged variable is expressed as an overall balance containing internal source terms and interfacial fluxes. These quantities are approximated to ensure mass and charge conservation. The averaged porous domains may thus be regarded as three 'tanks-in-series'. Predictions from the resulting equation system are compared against the p2D model and simpler Single Particle Model (SPM). The Tanks-in-Series model achieves substantial agreement with the p2D model for cell voltage, with error metrics of <15 mV even at rates beyond the predictive capability of SPM. Predictions of electrochemical variables are examined to study the effect of approximations on cell-level predictions. The Tanks-in-Series model is a substantially smaller equation system, enabling solution times of a few milliseconds and indicating potential for deployment in real-time applications. The methodology discussed herein is generalizable to any model based on conservation laws, enabling the generation of reduced-order models for different battery types. This can potentially facilitate Battery Management Systems for various current and next-generation batteries.
- Authors:
- Publication Date:
- Research Org.:
- National Renewable Energy Laboratory (NREL), Golden, CO (United States)
- Sponsoring Org.:
- USDOE Advanced Research Projects Agency - Energy (ARPA-E)
- OSTI Identifier:
- 1580777
- Alternate Identifier(s):
- OSTI ID: 1580780; OSTI ID: 1593686
- Report Number(s):
- NREL/JA-5400-75855
Journal ID: ISSN 1945-7111
- Grant/Contract Number:
- AR0000275; AC36-08GO28308
- Resource Type:
- Published Article
- Journal Name:
- Journal of the Electrochemical Society (Online)
- Additional Journal Information:
- Journal Name: Journal of the Electrochemical Society (Online) Journal Volume: 167 Journal Issue: 1; Journal ID: ISSN 1945-7111
- Publisher:
- The Electrochemical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 25 ENERGY STORAGE; battery management systems; lithium-ion batteries
Citation Formats
Subramaniam, Akshay, Kolluri, Suryanarayana, Parke, Caitlin D., Pathak, Manan, Santhanagopalan, Shriram, and Subramanian, Venkat R. Properly Lumped Lithium-ion Battery Models: A Tanks-in-Series Approach. United States: N. p., 2020.
Web. doi:10.1149/2.0342001JES.
Subramaniam, Akshay, Kolluri, Suryanarayana, Parke, Caitlin D., Pathak, Manan, Santhanagopalan, Shriram, & Subramanian, Venkat R. Properly Lumped Lithium-ion Battery Models: A Tanks-in-Series Approach. United States. https://doi.org/10.1149/2.0342001JES
Subramaniam, Akshay, Kolluri, Suryanarayana, Parke, Caitlin D., Pathak, Manan, Santhanagopalan, Shriram, and Subramanian, Venkat R. Wed .
"Properly Lumped Lithium-ion Battery Models: A Tanks-in-Series Approach". United States. https://doi.org/10.1149/2.0342001JES.
@article{osti_1580777,
title = {Properly Lumped Lithium-ion Battery Models: A Tanks-in-Series Approach},
author = {Subramaniam, Akshay and Kolluri, Suryanarayana and Parke, Caitlin D. and Pathak, Manan and Santhanagopalan, Shriram and Subramanian, Venkat R.},
abstractNote = {This article introduces a lumped electrochemical model for lithium-ion batteries. The governing equations of the standard 'pseudo 2-dimensional' (p2D) model are volume-averaged over each region in a cathode-separator-anode representation. This gives a set of equations in which the evolution of each averaged variable is expressed as an overall balance containing internal source terms and interfacial fluxes. These quantities are approximated to ensure mass and charge conservation. The averaged porous domains may thus be regarded as three 'tanks-in-series'. Predictions from the resulting equation system are compared against the p2D model and simpler Single Particle Model (SPM). The Tanks-in-Series model achieves substantial agreement with the p2D model for cell voltage, with error metrics of <15 mV even at rates beyond the predictive capability of SPM. Predictions of electrochemical variables are examined to study the effect of approximations on cell-level predictions. The Tanks-in-Series model is a substantially smaller equation system, enabling solution times of a few milliseconds and indicating potential for deployment in real-time applications. The methodology discussed herein is generalizable to any model based on conservation laws, enabling the generation of reduced-order models for different battery types. This can potentially facilitate Battery Management Systems for various current and next-generation batteries.},
doi = {10.1149/2.0342001JES},
journal = {Journal of the Electrochemical Society (Online)},
number = 1,
volume = 167,
place = {United States},
year = {Wed Jan 01 00:00:00 EST 2020},
month = {Wed Jan 01 00:00:00 EST 2020}
}
https://doi.org/10.1149/2.0342001JES
Web of Science
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