At the present time due to the widespread of electric and hybrid vehicles there is a need for batteries practical models construction. In this study, a fundamentally new non-linear structural method was used for battery work modeling. A non-linear structural model is developed of relaxation processes after battery charging. The model is correct for alkaline, acidic and lithium-ion batteries. The comparison of the model solutions with the experimental data for the alkaline batteries showed that the relative error does not exceed 3%. Despite of an existence of a lot of different models of batteries, at the present time, only a few methods exist for these models development, namely: the statistical approach, the electrochemical method and the structural method.The statistical approach for the batteries model development is used on a first stage of batteries investigation, when there is very poor information about the battery being studied.
1-3The electrochemical method method is the most fundamental one. As a rule, practicians using the batteries electrochemical models in real electrochemical systems point out two disadvantages of those models;4 Firstly, the electrochemical models contain very many parameters describing a lot of local processes and phenomena. Secondly, those models are very cumbersome and complicated for a practical use. 5,6 In our earlier manuscript, 7 the fundamentally new non-linear structural method was proposed for battery work modeling. This method conserves all the benefits of the traditional structural method. But it can be used for work modeling of batteries in conditions of high currents that usually are encountered in frame of different modes of their operation.In the work, 8 the battery non-linear structural model was successfully used for modeling of self-discharge processes.In this work, on a basis of the battery non-linear structural model, a voltage relaxation is studied after charging of cadmium-nickel batteries. This work is a continuation of the works 7-11 devoted to analytical and structural modeling of different batteries work modes.
Theoretical AnalysisFor analyzing a voltage change on battery terminals after charging, let us use the battery non-linear structural model 7 without taking into consideration a current distribution on depth of the porous electrode (Fig. 1).On the Fig. 1, C 2 is the main pseudo-capacitor modeling work of the main current-producing reaction in nickel-cadmium batteries;C 1 is a parallel pseudo-capacitor modeling creation of unstable phases on oxide-nickel and cadmium electrodes. As it was shown in the work, 7 it is just creation of those unstable phases, what can explain an initial relaxation field of a discharging curve of any alkaline batteries. For the oxide-nickel electrodes, they are highly-oxidized unstable nickel hydroxides. At the same place, there was shown that[2] * Electrochemical Society Active Member. z E-mail: galushkinne@mail.ru This is why practically the pseudo-capacitor C 1 does not influence the total capacity of the battery. Beside...