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The National Academy of Sciences of Ukraine

The Institute of Electrodynamics

About Institute



A.A. Shcherba1*, N.I. Suprunovska1**, M.A. Shcherba2***, V.V. Mykhailenko2****
1- Institute of Electrodynamics of the National Academy of Sciences of Ukraine,
Peremohy, 56, Kyiv-57, 03680, Ukraine,
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2- NTUU Igor Sikorsky Kyiv Polytechnic Institute,
pr. Peremohy, 37, Kyiv, 03056, Ukraine,
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*** ORCID ID :
**** ORCID ID :

The method of multi-parameter functions was applied in order to simplify the transient analysis in electrical circuits with variable structure arising in the regulation of the discharge duration of capacitive energy storage devices in electric-discharge installations with semiconductor (thyristor) switches. This made it possible to obtain analytical expressions for calculating the discharge currents of a linear reservoir capacitor in circuits with three independent reactive elements (one capacitance and two inductances).The calculation of transients in such circuits is complicated by the need to solve differential equations of the third order, which describe these processes when changing the configuration of the circuits in order to control the duration of the discharge currents in the load. The article shows that the use of the method of multiparameter functions and Runge-Kutta one simplifies obtaining exact analytical expressions for discharge currents in the capacitor and the load when the structure of the electric circuit changes, including time intervals in which currents flow simultaneously in three independent reactive elements. Despite the different durations of the currents in the reactive elements, exact expressions for the currents in all elements of the discharge circuit are obtained. References 9, figure 1.
Key words: transient, method of multi-parameter functions, capacitor discharge, electro-spark load, discharge duration.

1. Nguyen P.K., Lee K.H., Kim S.I., Ahn K.A., Chen L.H., Lee S.M., Chen R.K., Jin S., Berkowitz A.E. Spark Erosion: a High Production Rate Method for Producing Bi0.5Sb1.5Te3 Nanoparticles With Enhanced Thermoelectric Performance. Nanotechnology. 2012. Vol.23. Pp.415604-1-415604-7. DOI:
2. Nguyen, P.K., Sungho J., Berkowitz A.E. MnBi particles with high energy density made by spark erosion. J. Appl. Phys. 2014. Vol. 115. Iss. 17. Pp. 17A756-1. DOI:
3. Liu Y., Li X., Li Y., Zhao Zh., Bai F. The lattice distortion of nickel particles generated by spark discharge in hydrocarbon dielectric mediums. Applied Physics A. 2016. Vol.122. Pp.174-1–174-9. DOI:
4. Carrey J., Radousky H.B., Berkowitz A.E. Spark-eroded particles: Influence of processing parameters // Journal of Applied Physics, Vol. 95. No 3. 1 February 2004. Pp. 823-829. DOI:
5. Casanueva R., Azcondo F.J, Branas C., Bracho S. Analysis, design and experimental results of a high-frequ-ency power supply for spark erosion. IEEE Transactions on Power Electronics. 2005. Vol. 20. Pp. 361-369. DOI:
6. Kornev Ia., Saprykin F., Lobanova G., Ushakov V., Preis S. Spark erosion in a metal spheres bed: Experimental study of the discharge stability and energy efficiency. Journal of Electrostatics. 2018. Vol. 96. Pp. 111-118. DOI:
7. Ivashchenko D.S., Shcherba A.A., Suprunovska N.I. Analyzing Probabilistic Properties of Electrical Characteristics in the Circuits Containing Stochastic Load. Proc. IEEE International Conference on Intelligent Energy and Power Systems IEPS-2016. Kyiv, Ukraine, June 7-11, 2016. Pp. 45-48. DOI:
8. Shcherba A.A., Suprunovska N.I. Electric Energy Loss at Energy Exchange Between Capacitors as Function of Their Initial Voltages and Capacitances Ratio. Tekhnichna Elektrodynamika. 2016. No 3. Pp. 9-11. DOI:
9. Mykhailenko V.V.; Buryan S.O.; Maslova T.B.; Mikhnenko G.E.; J.M Chunyk ; Tcharniak O.S. Study of Electromagnetic Processes in the Twelve-Pulse Converter with Eight-Zone Regulation of Output Voltage and Electromechanical Load. Proc. 6th IEEE International Conference on. on Energy Smart Systems ESS-2019. Kyiv, Ukraine, April 17-19, 2019. Pp. 43-46. DOI:

Received 28.02.2020