Computer simulation of the discharge process of a capacitor bank through a sample in the form of a copper wire

A comprehensive study was carried out by numerical (mathematical) and simulation (computer) modeling of the discharge process of a capacitor bank through a sample in the form of a copper wire in an installation for studying the effect of electroplasticity. The electroplastic effect is a phenomenon in which the yield strength decreases under the influence of electric current. A patented installation for studying the effect of electroplasticity is presented. The first results performed at this installation have been obtained, which relate to comparing the degree of influence of the electroplasticity effect on copper and aluminum samples. Due to the higher electrical conductivity and lower skin effect of the copper samples, the effect of electroplastic deformation in them was more evident, as a result of which it was decided to begin more detailed studies with samples in the form of copper wire. Differential equations describing the current curves obtained when a charged battery of capacitors is discharged through a sample in the form of a copper wire without taking into account changes in the internal structure of the samples are given. Using the least squares method and the discrete Fourier transform, the inductance and resistance parameters of the entire system were estimated, respectively. The total capacity of the capacitor bank is determined numerically, with an error of no more than 2%. Two identical simulation models have been developed for the calculated parameters in the MatLab software package and the SimInTech environment, consisting of RLC elements connected in series, measuring units (ammeter and voltmeter) and oscilloscopes. The simulation results are compared with the current curve obtained during field tests under the same initial conditions. Conclusions are drawn about the almost complete prediction by both models of parameters such as the peak current value and pulse length within the error limits of the measuring equipment.

1. Troitskii OA. Electromechanical effect in metals. JETP Letters. 1969;1:18-22. (in English)

2. Conrad H. Electroplasticity in metals and ceramics. Materials Science and Engineering A. 2000;287(2):276-287. (in English) DOI: 10.1016/s0921-5093(00)00786-3.

3. Lu Y, Chen G, Zhang B. et al. Application of electroplastic effect in mechanical processing. International Journal of Advanced Manufacturing Technology. 2024;135:25-48. (in English) DOI: 10.1007/s00170-024-14574-9.

4. Conrad H, Sprecher AF, Cao WD. et al. Electroplasticity - the effect of electricity on the mechanical properties of metals. JOM. 1990;42:28-33. (in English) DOI: 10.1007/BF03221075.

5. Cao WD, Conrad H. On the effect of persistent slip band (PSB) parameters on fatigue life. Fatigue & Fracture of Engineering Materials & Structures. 1992;15(6):573-583. (in English) DOI: 10.1111/j.1460-2695.1992.tb01296.x.

6. Zhou Y, Zeng Y, He G, Zhou B. The healing of quenched crack in 1045 steel under Electropulsing. Journal of Materials Research. 2001;16:17-19. (in English) DOI: 10.1557/JMR.2001.0005.

7. Zhou Y, Guo J, Gao M, He G. Crack healing in a steel by using electropulsing technique. Materials Letters. 2004;58(11):1732-1736. (in English) DOI: 10.1016/j.matlet.2003.10.049.

8. Hosoi A, Nagahama T, Ju Y. Fatigue crack healing by a controlled high density electric current field. Materials Science and Engineering A. 2012;533:38-42. (in English) DOI: 10.1016/j.msea.2011.11.024.

9. Bryzgalov VA, Morkina AY, Abdullina DU. et al. Review of research on macro-crack healing in metals under high-density pulsed current. Materials. Technologies. Design. 2024;6(2):38-58. (in Russian) DOI: 10.54708/26587572_2024_621738.

10. Abdullina DU, Bebikhov YuV, Tatarinov PS, Dmitriev SV. Review of recent advances in electroplastic metal forming. Fundamental’nye problemy sovremennogo materialovedenia = Basic Problems of Material Science (BPMS). 2023;20(4):469-483. (in Russian) DOI: 10.25712/ASTU.1811-1416.2023.04.006.

11. Boshkova KV, Bebikhov YuV, Kugusheva NN, et al. Electroplastic deformation: theoretical explanations of the effect. In: Youth and Scientific-Technical Progress in the Modern World: Proceedings of the XII All-Russian Research-to-Practice Conference of Students, Postgraduates and Young Scientists. Moscow: Publishing House “Sputnuk+”; 2023:68-70 (in Russian).

12. Morkina AY, Tarov DV, Yakushev IA, et al. Effect of electroplasticity studied for aluminum wires under tension. Procedia Structural Integrity. 2024;65:158-162. (in English) DOI: 10.1016/j.prostr.2024.11.025.

13. Tatarinov VP, Tatarinov PS, Bebikhov YuV. et al. Development of a method for measuring high-magnitude pulsed currents. Vestnik of North-Eastern Federal University. 2024;21(1):81-88. (in Russian) DOI: 10.25587/2222-5404-2024-21-1-81-88.

14. Dmitriev SV, Tatarinov PS, Semenov AS. et al. Patent for invention RU2843809: Automated laboratory setup for studying the electroplasticity effect. 2025. (in Russian)

15. Morkina AY, Tarov DV, Khalikova GR, et al. Comparison of the effect of electroplasticity in copper and aluminum. Facta Universitatis. Series: Mechanical Engineering. 2024;22(4):615-632. (in English) DOI: 10.22190/fume240920049m.

16. Dmitriev SV, Morkina AY, Tarov DV, et al. Effect of repetitive high-density current pulses on plastic deformation of copper wires under stepwise loading. Spectrum of Mechanical Engineering and Operational Research. 2024;1(1):27-43. (in English) DOI: 10.31181/smeor1120243.

17. Semenov AS. Modeling of induction motor operating modes in MatLab software package. Vestnik of North-Eastern Federal University. 2014;11(1):51-59. (in Russian)

18. Shchemeleva YB, Sokolov AA, Labazanova SH. Development of hardware and a system for analyzing energy parameters based on simulation in SimInTech. Journal of Physics: Conference Series. 2022;2176:012082. (in English) DOI: 10.1088/1742-6596/2176/1/012082.

19. Dmitriev SV, Tatarinov PS, Tatarinov VP, et al. Computer Program 2025660558: Program for automatic normalization of current pulse by capacitor bank charge value. 2025 (in Russian).