MATHEMATICAL MODELING OF LIFETIME OF LEAD ACID BATTERIES FOR UNINTERRUPTIBLE POWER SUPPLIES

Abstract

An analysis of the uninterruptible power supply market was carried out, which showed the relevance of research on the operation of lead-acid batteries, including in the direction of increasing the term of their exploitation. The purpose of the article is to develop a mathematical model for assessing the lifetime of lead-acid batteries. The mathematical model is developed on the basis of experimental readings specified in the technical documentation of the main manu-facturers of lead-acid batteries, for the processing of which numerical methods are used. An equivalent thermal circuit for battery replacement is shown. As a result, analytical dependencies of the maximum number of cycles and the ag-ing rate of various sealed batteries on the discharge depth and their temperature as the main factors affecting the ag-ing process are obtained. The adequacy of the results obtained is ensured by satisfactory convergence with the refer-ence data. Based on the obtained results, recommendations are given to ensure the required reliability parameters, taking into account the main algorithms of operation of uninterruptible power supply sources and the spectrum of external effects and design features of storage batteries.