An explicit algebraic reduced order algorithm for lithium ion cell voltage prediction

The detailed isothermal electrochemical model for a lithium ion cell has ten coupled partial differential equations to describe the cell behavior. In an earlier publication [Journal of Power Sources, 222, 426 (2013)], a reduced order model (ROM) was developed by reducing the detailed model to a set...

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Bibliographic Details
Published in:Journal of power sources 2014, Vol.248, p.383-387
Main Authors: KUMAR, V. Senthil, GAMBHIRE, Priya, HARIHARAN, Krishnan S, KHANDELWAL, Ashish, KOLAKE, Subramanya Mayya, DUKJIN OH, SEOKGWANG DOO
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Applied sciences
Differential equations
Direct energy conversion and energy accumulation
Electric cells
Electric potential
Electrical engineering. Electrical power engineering
Electrical power engineering
Electrochemical conversion: primary and secondary batteries, fuel cells
Exact sciences and technology
Lithium batteries
Mathematical models
Voltage
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Summary:The detailed isothermal electrochemical model for a lithium ion cell has ten coupled partial differential equations to describe the cell behavior. In an earlier publication [Journal of Power Sources, 222, 426 (2013)], a reduced order model (ROM) was developed by reducing the detailed model to a set of five linear ordinary differential equations and nonlinear algebraic expressions, using uniform reaction rate, volume averaging and profile based approximations. An arbitrary current profile, involving charge, rest and discharge, is broken down into constant current and linearly varying current periods. The linearly varying current period results are generic, since it includes the constant current period results as well. Hence, the linear ordinary differential equations in ROM are solved for a linearly varying current period and an explicit algebraic algorithm is developed for lithium ion cell voltage prediction. While the existing battery management system (BMS) algorithms are equivalent circuit based and ordinary differential equations, the proposed algorithm is an explicit algebraic algorithm. These results are useful to develop a BMS algorithm for on-board applications in electric or hybrid vehicles, smart phones etc. This algorithm is simple enough for a spread-sheet implementation and is useful for rapid analysis of laboratory data.
ISSN:0378-7753
1873-2755
DOI:10.1016/j.jpowsour.2013.09.089