Proposition of an extension to the peukert’s lawmodel applied to the prediction of the batterieslifetime

Accurate prediction of the rechargeable battery lifetime is important for the optimization of the use of different types of mobile devices in the present time. Many of them use simple analytical models for this task, such as Peukert's Law model. This paper aims to evaluate the accuracy of battery lifetime prediction, from an extension of Peukert's Law. The original and extended models are evaluated by comparing the results of computational simulations and a wide set of experimental data obtained from a test platform under scenarios of constant and variable current discharges, the extended model is also compared with an accurate model of the literature, i.e., the Rakhmatov and Vrudhula's diffusion model. For lithium-ion polymer batteries, the proposed extended model is accurate, it produced an average error of 1.07 \% in the prediction of battery lifetime for discharges with constant current profiles and an average error of 2.57 \% for variable discharge profiles that simulate the power drain of a smartphone used for a variety of everyday applications.