Generalized Peukert Equations Use for Finding the Remaining Capacity of Lithium-Ion Cells of Any Format

Nataliya N Yazvinskaya,Dmitriy N Galushkin,Nikolay E Galushkin,Dmitriy V Ruslyakov

doi:10.3390/en14165009

Abstract

In many studies, for predicting the remaining capacity of batteries belonging to different electrochemical systems, various analytical models based on the Peukert equation are used. This paper evaluates the advantages and disadvantages of the most famous generalized Peukert equations. For lithium-ion batteries, the Peukert equation cannot be used for estimation of their remaining capacity over the entire range of discharge currents. However, this paper proves that the generalized Peukert equations enable estimation of the capacity released by lithium-ion batteries with high accuracy. Special attention is paid to two generalized Peukert equations: C = Cm/(1 + (i/i0)n) and C = Cmerfc((i-i0)/n))/erfc(-i0/n). It is shown that they correspond to the experimental data the best.

Highlights

Batteries are an integral part of diverse appliances, both for household purposes and special intention
The advantage of lithium-ion batteries over batteries of other electrochemical systems is due to the high specific capacity of these batteries and their reliability in operation
We investigated the applicability of generalized Peukert equations for batteries of any format and various manufacturers, including large-format lithium-ion batteries with LiFePO4 (LFP) cathodes

Summary

Introduction

Batteries are an integral part of diverse appliances, both for household purposes and special intention. Batteries with various electrochemical systems are used: lead–acid, alkaline, lithium-ion, etc. Among small-format batteries, lithium-ion cells prevail [1,2]. Lithium-ion cells have been used increasingly in machinery requiring large-format batteries. This is primarily related to the intensive development of electric vehicles (xEVs) [2,3]. The advantage of lithium-ion batteries over batteries of other electrochemical systems is due to the high specific capacity of these batteries and their reliability in operation

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