Derivation and tuning of a solvable and compact differential–algebraic equations model for LiFePO4–graphite Li–ion batteries

This paper presents a procedure for deriving and tuning a solvable and compact differential–algebraic equation (DAE) model for the LiFePO 4 –graphite lithium–ion battery cell. A reduced order model can drastically decrease the simulation time with a minimal loss of the prediction accuracy for the li...

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Bibliographic Details
Published in:Journal of applied electrochemistry 2018-03, Vol.48 (3), p.365-377
Main Authors: Lee, C. W., Hong, Y., Hayrapetyan, M., Yang, X. G., Xi, Z.
Format: Article
Language:English
Subjects:
Algebra
Batteries
Chemistry
Chemistry and Materials Science
Computer simulation
Computing time
Differential equations
Electrochemistry
Galerkin method
Genetic algorithms
Graphite
Industrial Chemistry/Chemical Engineering
Lithium
Parameter sensitivity
Physical Chemistry
Reduced order models
Research Article
Tuning
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Summary:This paper presents a procedure for deriving and tuning a solvable and compact differential–algebraic equation (DAE) model for the LiFePO 4 –graphite lithium–ion battery cell. A reduced order model can drastically decrease the simulation time with a minimal loss of the prediction accuracy for the lithium–ion battery. This paper proposes a method based on a linear DAE theory for choosing a Galerkin formulation that will produce a solvable ROM from the original higher-order model of the lithium–ion battery cell. Moreover, a systematic tuning of the model parameters using the sensitivity study and the genetic algorithm is demonstrated by exploiting the computational efficiency of the simplified model. When coupled with the model for describing the hysteresis of the battery cell, the tuned model, consisting of 26 DAEs, shows a good agreement with the experimental data from a LiFePO 4 –graphite battery cell at rates up to 4 C. Graphical Abstract
ISSN:0021-891X
1572-8838
DOI:10.1007/s10800-018-1164-8