An Efficient and Robust Numerical Solution of the Full-Order Multiscale Model of Lithium-Ion Battery

Abstract

We propose a novel and efficient numerical approach for solving the pseudo two-dimensional multiscale model of the Li-ion cell dynamics based on first principles, describing the ion diffusion through the electrolyte and the porous electrodes, electric potential distribution, and Butler-Volmer kinetics. The numerical solution is obtained by the finite difference discretization of the diffusion equations combined with an original iterative scheme for solving the integral formulation of the laws of electrochemical interactions. We demonstrate that our implementation is fast and stable over the expected lifetime of the cell. In contrast to some simplified models, it provides physically consistent results for a wide range of applied currents including high loads. The algorithm forms a solid basis for simulations of cells and battery packs in hybrid electric vehicles, with possible straightforward extensions by aging and heat effects.

Degradation of Lithium-Ion Batteries in an Electric Transport Complex

“…It contains no flammable organic solvents and is thus safer than the other categories of electrolytes in high temperature medium. Another interesting property of these electrolytes is that their ionic conductivity increases with increasing temperature due to the formation and flow of ionic point defects [60]. Research on polymer electrolyte is aimed at achieving high conductivity at room temperature.…”

“…This could be due to protective circuitry and/or increased internal resistance. A full charge occurs when the battery reaches the threshold voltage and the current drops to three percent of its nominal value [58][59][60][61].…”

Design of the Power Supply System for Vertical Take-Off and Landing Unmanned Aerial Vehicle

“…Figure 6 shows the converter block with the set values of operation -voltage and current, and Figure 7 shows the inside of the converter block -its proper model which were elaborated based on the thoughts and experiences of the and the results of similar works. Creation and development of DC-DC converters is a frequently discussed engineering topic, which was described in many studies that inspired this work In the context of general assumpions [10], converters [11], lithium battery modelling [12] PV -battery -supercapacitors configurations [13] charging and discharging of supercapacitors [14] models of PV cells [15] In the developed calculation model, the li-ion battery model existing in the libraries of the MATLAB 2019R Simulink same as supercapacitor.…”

Implementation of Kalman Filtering for Differential-Algebraic Equations

“…The approach in this thesis is to model the lithium-ion cell using partial differential equations and apply a Kalman filter on it. Examples of a finite element simulation of the lithium-ion cell can be found here [63], finite difference [8], finite volume [77], spectral method [12]. Examples of applying a Kalman filter on a lithium-ion cell can be found here [3,6,12,17,34,49,51,57,64,71,75].…”