NUMERICAL ANALYSIS OF THE EFFECT OF THE DESIGN AND MANUFACTURING PARAMETERS OF STARTER LEAD-ACID BATTERIES ON THEIR DISCHARGE CHARACTERISTIC
Keywords:
electrochemical cell, electric current, potential, porous electrodes, discharge curves, concentration, porosity.Abstract
Because the battery uses chemically active substances, monitoring its operation and condition is important. Therefore, of importance is also the study of electrochemical processes that take place during its operation. This paper presents the results of a mathematical simulation of the mass exchange in an electrochemical cell of a starter battery during its discharge. The simulation is based on known equations. The elucidation of the effect of different factors on the battery’s discharge characteristics is of importance in terms of areas of its possible application.
The mathematical model accounts for the design features of the electrodes, which consist of a porous active mass and a conductive grid.
The solution shows the effect of the design and manufacturing parameters on the discharge curves. As can be seen from the solution, the effect of the electric current magnitude is most pronounced. Of interest are also calculated results that show how the discharge curves vary, for example, with decreasing grid conductivity.
The effect of the electrode design parameters on the discharge properties is considered. Their features are elucidated, and a numerical estimate of their effect on the battery discharge indices is given. It is shown that a decrease in the porosity of the porous space due to gas bubbles that form when charging the battery and remain in pores may also markedly affect the discharge process. It is shown that the discharge curves also depend on the diameter of the cells that form the active porous mass of the electrodes.
The scientific novelty lies in complementing the mathematical model with relationships that include the design parameters of the battery electrodes.
The practical value of the obtained results lies in the possibility of accounting for the effect of the electrode material porosity and particle diameter on the battery performance at the battery design stage.
REFERENCES
1. Dzenzersky V. A., Plaksin S. V., Zhitnik N. E., Shirman O. I. Chemical Current Source Condition Monitoring Kyiv, Naukova Dumka, 2014. 132 pp. (In Russian).
2. Khrustalev D. A. Batteries. Moscow: Izumrud, 2003. 224 pp. (In Russian).
3. Dasoyan M.A., Aguf I.A. Current Theory of Lead Acid Batteries. Stonechouse Glos. Technicopy Limited, 1979. 371 pp.
4. Bagotsky D. A., Skundin A. M. Chemical Current Sources. Moscow: Energoizdat, 1981. 360 pp. (In Russian).
5. Koshel M. D. Theoretical Foundations of Electrochemical Power Engineering. Dnipro: Ukrainian State University of Chemical Technology, 2002. 430 pp. (In Ukrainian).
6. Vahid Esfahanian, Torabi Farschad, Mosahebi Ali. An improved model of lead-acid batteries for simulation of VRLA batteries. Journal of Power Sources Symposium. 2007. 9 pp. URL: https://wp.kntu.ac.ir/ftorabi/Resources/Publications/An%20Improved%20Mathematical%20Model%20of%20Lead%E2%80%93Acid%20Batteries%20for%20Simulation%20of%20VRLA%20Batteries.pdf (Last accessed on November 25, 2025).
7. Vahid Esfahanian, Pooyan Kheirhan, Hassan Bahramian, Amir Babac Ansori, Goodarz Ahmadi. The effects of electrode parameters on lead-acid battery performance. Advanced Materials Research. 2013. V. 651. Pp. 492 -498. https://doi.org/10.4028/www.scientific.net/AMR.651.492
8. Gu H., Nguyen T. V., White R. E. A mathematical model of a lead-acid cell: discharge, rest and charge. J. Electrochem. Soc. Electrochemical Science and Technology. 1987. V. 134. No. 12. Pp. 2953 - 2960. https://doi.org/10.1149/1.2100322
9. Shah A. A., Li X., Wills R. G. A., Walsh F. C. A mathematical model for the soluble lead-acid flow battery. J. of the Electrochemical Society. 2010. V. 157. No. 5. Pp. A589 - A599.
https://doi.org/10.1149/1.3328520
10. Yeliseyev V. I., Sovit Yu. P., Katrenko M. O. Mass transfer in the porous electrodes of a lead-acid battery during its discharge. Teh. Meh. 2024. No. 2. Pp. 124 - 136. (In Ukrainian).
https://doi.org/10.15407/itm2024.02.124
11. How one can calculate the service time of an uninterrupted power supply. Guaranteed power supply systems. URL: https://dbz.systems/2023/07/06/rozrahunok-chasu-roboti-dbzh/ (Last accessed on November 6, 2025). (In Ukrainian).
12. Acid batteries. MEDIA-CENTER. URL: https://real-el.ua/ua/media/useful/e1798/ 06.11.25. (Last accessed on November 6, 2025). (In Ukrainian).

