Parameter Sensitivity Analysis for Fractional-Order Modeling of Lithium-Ion Batteries

Daming Zhou, Ke Zhang, Alexandre Ravey, Fei Gao and Abdellatif Miraoui
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Daming Zhou: School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China
Ke Zhang: School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China
Alexandre Ravey: Institut de recherche sur les transports l'énergie et la société (IRTES), Fédération de recherche FCLAB CNRS 3539, Université de Technologie de Belfort-Montbéliard, Belfort 90010, France
Fei Gao: Institut de recherche sur les transports l'énergie et la société (IRTES), Fédération de recherche FCLAB CNRS 3539, Université de Technologie de Belfort-Montbéliard, Belfort 90010, France
Abdellatif Miraoui: Institut de recherche sur les transports l'énergie et la société (IRTES), Fédération de recherche FCLAB CNRS 3539, Université de Technologie de Belfort-Montbéliard, Belfort 90010, France

Energies, 2016, vol. 9, issue 3, 1-26

Abstract: This paper presents a novel-fractional-order lithium-ion battery model that is suitable for use in embedded applications. The proposed model uses fractional calculus with an improved Oustaloup approximation method to describe all the internal battery dynamic behaviors. The fractional-order model parameters, such as equivalent circuit component coefficients and fractional-order values, are identified by a genetic algorithm. A modeling parameters sensitivity study using the statistical Multi-Parameter Sensitivity Analysis (MPSA) method is then performed and discussed in detail. Through the analysis, the dynamic effects of parameters on the model output performance are obtained. It has been found out from the analysis that the fractional-order values and their corresponding internal dynamics have different degrees of impact on model outputs. Thus, they are considered as crucial parameters to accurately describe a battery’s dynamic voltage responses. To experimentally verify the accuracy of developed fractional-order model and evaluate its performance, the experimental tests are conducted with a hybrid pulse test and a dynamic stress test (DST) on two different types of lithium-ion batteries. The results demonstrate the accuracy and usefulness of the proposed fractional-order model on battery dynamic behavior prediction.

Keywords: lithium-ion battery; modeling; fractional calculus; parameters sensitivity; dynamic effects (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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