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

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.

Global parameters sensitivity analysis and development of a two-dimensional real-time model of proton-exchange-membrane fuel cells

“…The proposed model covers different physical domains. Zhou et al [20] presented a parameters sensitivity study based on a lithium-ion battery model using MPSA method. However, most of these analyses are based on 1-D models, and their sensitivity analyses are investigated only on a single parameter.…”

Multivariate theory‐based passivity criteria for linear fractional networks

“…Much research in recent decades has proved fractional calculus a very useful tool for modeling behaviors of many materials, systems, and complex dynamics, and it has attracted widespread interests in the fields such as viscoelasticity, 4 physics, 5 controller design, 3,6,7 signal processing, 8 and biomedicine. 9 Within the field of electrical and electronic engineering, plenty of components and equipment are modeled more neatly and precisely with the aids of fractional calculus in the light of their fractional essences, including the lead-acid batteries, 10,11 lithium-ion batteries, 12,13 supercapacitors, 14,15 PN junction diodes, 16 Buck-Boost converters, 17 transmission lines, 18 and transformers. 19 As the base of the fractional-order circuit theory, the fractional-order elements, also known as constant phase elements, have been deeply explored, and many ingenious methods were reported to realize them, including the selfsimilar RC tree circuit and grid-type RC ladder circuit for 0.5-order approximation, 20 the PMMA film-coated capacitive probe, 21 and the fractal structure on silicon.…”

Rapid Estimation Method for State of Charge of Lithium-Ion Battery Based on Fractional Continual Variable Order Model

“…In [15], a fractional Kalman filter for SOC estimation based on a fractional order model is presented, where the differentiation order was fixed at 0.5, and the other parameters were identified based on a single pulse response. In [16], model that uses the improved Oustaloup approximation method is proposed to capture the dynamic behaviors of lithium-ion batteries, and a modeling parameters sensitivity study is performed to analysis the relationship between the fractional order and the the output performance of the fractional order model.…”