Lead-Acid Battery Model Under Discharge With a Fast Splitting Method

Author

Harwood, Richard Corban ; Manoranjan, Valipuram S. ; Edwards, Dean B.

Author_Institution

Dept. of Math., George Fox Univ., Newberg, OR, USA

Volume

26

Issue

4

fYear

2011

Firstpage

1109

Lastpage

1117

Abstract

A mathematical model of a valve-regulated lead-acid battery under discharge is presented as simplified from a standard electrodynamics model. This nonlinear reaction-diffusion model of a battery cell is solved using an operator splitting method to quickly and accurately simulate sulfuric acid concentration. This splitting method incorporates one-sided approximation schemes to preserve continuity over material interfaces encompassing discontinuous parameters. Numerical results are compared with measured data by calculating battery voltage from modeled acid concentration as derived from the Nernst equation.

Keywords

approximation theory; electrodynamics; lead acid batteries; Nernst equation; Pb-PbO₂; battery cell; battery voltage; electrodynamics model; mathematical model; modeled acid concentration; nonlinear reaction-diffusion model; one-sided approximation schemes; operator splitting method; sulfuric acid concentration; valve-regulated lead-acid battery; Batteries; Discharges; Electrodes; Mathematical model; Nonlinear systems; Numerical models; Batteries; discharge; lead; modeling; nonlinear systems; splitting;

fLanguage

English

Journal_Title

Energy Conversion, IEEE Transactions on

Publisher

ieee

ISSN

0885-8969

Type

jour

DOI

10.1109/TEC.2011.2162093

Filename

6034518