Generalized Peukert’s Equation for Nickel-Cadmium Batteries at High Discharge Currents

摘要

In this paper both experimentally and theoretically, the dependence was analyzed of released capacityof nickel-cadmium batteries at diverse discharge currents. It was shown that the classical Peukert’sequation is inapplicable at both small and high discharge currents. Meanwhile, the well-knowngeneralized Peukert’s equation C=C m /(1+(i/i0) n ) corresponds well to the experimental data at smalland medium discharge currents. However at high discharge currents, the capacity released by nickel-cadmium batteries is diminished much faster than this generalized Peukert’s equation predicts. Byexperiments and theoretically, it was proved that the reason of the sharper descent of the batteries’released capacity at high discharge currents is the voltage loss escalation on battery internal resistanceat a growth of discharge current. There was proposed the equation C=C m /(1+i n /(i0 n (1-i/i1))) taking intoaccount this effect; and this one corresponds well to the experimental data at any discharge currents.