UNCERTAINTY QUANTIFICATION AND SENSITIVITY ANALYSIS OF LEAD-ACID BATTERIES

In this paper, a physical-stochastical model for simulation of lead-acid battery is presented to study uncertainty of model parameters on cell behavior during galvanostatic discharge process. Jacobi polynomial chaos is used to quantify the uncertainties of this type of battery. Smolyak construction with non-nested Gauss-Jacobi abscissas is proposed to compute the coefficient of polynomial chaos expansions. This approach not only requires small number of simulation of lead-acid battery, but also has more accuracy respect to conventional Clenshaw-Curtis abscissas. Moreover global sensitivity analysis via sobol indices is performed to identify most important parameters which produce most uncertainties in lead-acid battery.