Title :
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
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;
Journal_Title :
Energy Conversion, IEEE Transactions on
DOI :
10.1109/TEC.2011.2162093
