A MATHEMATICAL MODEL TO PREDICT THE CHARACTERISTICS OF ELECTROCHEMICAL BATTERIES OF POWER INSTALLATIONS OF ROCKET-SPACE OBJECTS

Костянтин Васильович Безручко, Андрій Анатолійович Харченко, Світлана Володимирівна Сінченко, Віктор Іванович Лазненко

Abstract


A mathematical model of an alkaline electrochemical battery which takes into account the processes that occur in the batteries during their operation is presented. The mathematical model was tested with the help of a technique of predicting the characteristics of electrochemical accumulators, developed by the authors. Approbation of the technique was carried out based on the results of a study of nickel-cadmium accumulators NK-125 and NKG-160, as well as nickel-cadmium batteries 3NK-125. To test the model, the current state of the accumulators was determined and the empirical coefficients of the mathematical model were determined, and the measurement errors and the model were calculated from the results of the evaluation. To confirm the reliability of the calculated characteristics, the calculated characteristics were compared with the experimental data obtained as a result of previous resource studies. The average approximation error for the mathematical model does not exceed the critical value of this quantity (10%), and therefore the mathematical model is adequate. As a result, a long (up to thirty years) predict was obtained for the main operational characteristics of electrochemical batteries for power plants of rocket and space equipment: capacitance and voltage. Using the method of predicting the characteristics of electrochemical batteries based on the presented mathematical model, it is possible to conduct a simple predict of the main operational parameters of electrochemical accumulators (capacity, voltage) and charge-discharge characteristics for a long run of their operation (dozens of years). The predict can be carried out both for new accumulators and for accumulators in operation, which is an absolute advantage of this method and mathematical model. Also, the predict of performance characteristics for a long period of their operation can be carried out not only for individual batteries, but also for storage batteries. The average absolute discrepancy between the values of capacitance and the mean of the error of approximations is 0.86 Ah, 6.29%, respectively. The absolute difference in capacitance values for 20 years is 1.1 Ah, and the error of approximation for 20 years is 10%.


Keywords


predict; secondary energy store; mathematical model; voltage; capacitance; discharge characteristic

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DOI: https://doi.org/10.32620/aktt.2017.5.07