Simple algorithms for determining parameters of circuit models for charging/discharging batteries

This paper derives simple algorithms for determining parameters of two circuit models for charging/discharging batteries. The problems of identifying parameters for the circuit models are converted into algebraic problems of solving systems of polynomial equations of special structures. A recent algebraic tool is applied to obtain analytical solutions to these polynomial equations and simple algorithms for extracting model parameters from experimental responses. Computational results are obtained for 3 types of batteries: Li-polymer, lead-acid and NiMH.

► Simple algorithms are derived for determining circuit models of batteries.
► The algorithms rely on solving polynomial equations of special structures.
► Analytical solutions to the polynomial equations are derived.
► Parameters of the circuit models are extracted from experimental responses.
► Experimental and computational results validate the effectiveness of the algorithms.