A model describing the dependence of the capacity of nickel-cadmium batteries

Don State Technical University, 346500 Shakhty, Russia

^* Corresponding author: dmitrigall@yandex.ru

Abstract

The paper presents studies of the empirical Korovin-Skundin equations, the generalized Peikert equation, the porous electrode equation and the probability integral. After that, it is proved that these equations can be used to estimate the capacity of nickel-cadmium accumulator at different discharge currents. The relations (4, 6, 8, 9) presented in the work fully correspond to the obtained experimental data with and have a relative error of no more than 6%, which is quite an acceptable fact for practical calculations. However, the parameters in these ratios depend on the capacity of the batteries under study, which is not an entirely acceptable fact in their practical application. It is shown that the Peikert, Libenov, Aguf and Khaskina-Danilenko equations cannot be used to calculate the capacity given off by the battery according to the considered changes in the discharge current. It has been established that the Peikert, Libenov and Aguf equations have an inversely proportional dependence for the discharged capacity on the discharge current, but such a dependence appears only starting from the inflection point and to infinity, and for SBM brand batteries, the inflection point of the curve C(i) is at the current i = 1Cn. In addition, it is shown that the Haskina-Danilenko equation cannot be used in the entire range of discharge currents considered in the work, since it is valid only in the range from zero to discharge currents, starting from which the battery capacity begins to drop sharply. It is established that the parameters of these equations depend on the capacity of the batteries, and this is a disadvantage in their practical application.