ОПРЕДЕЛЕНИЕ ВЕРОЯТНОСТНЫХ СВОЙСТВ ЭЛЕКТРИЧЕСКИХ ХАРАКТЕРИСТИК ЦЕПЕЙ ЭЛЕКТРОРАЗРЯДНЫХ УСТАНОВОК С УЧЕТОМ  СТОХАСТИЧЕСКИ ИЗМЕНЯЮЩИХСЯ ИХ ПАРАМЕТРОВ

A.A.  Shcherba; N.І.   Suprunovska; D.S.  Ivashchenko

doi:10.15407/techned2019.04.003

No. 4 (2019), Theoretical Electrical Engineering and Electrophysics

No. 4 (2019)

Theoretical Electrical Engineering and Electrophysics

DETERMINATION OF PROBABILISTIC PROPERTIES OF ELECTRICAL CHARACTERISTICS OF CIRCUITS OF ELECTRIC DISCHARGE INSTALLATIONS TAKING INTO ACOUNT THEIR STOCHASTICALLY CHANGING PARAMETERS

Published 2019-06-12

https://doi.org/10.15407/techned2019.04.003

A.A. Shcherba⁺⁻
N.І. Suprunovska⁺⁻
D.S. Ivashchenko⁺⁻

A.A. Shcherba

Institute of Electrodynamics National Academy of Sciences of Ukraine, Peremohy, 56, Kyiv, 03057, Ukraine

https://orcid.org/0000-0002-0200-369X

N.І. Suprunovska

Institute of Electrodynamics National Academy of Sciences of Ukraine, Peremohy, 56, Kyiv, 03057, Ukraine

https://orcid.org/0000-0001-7499-9142

D.S. Ivashchenko

Oracle, 1501 4th Ave, Seattle, WA 98101, US

ARTICLE_1_PDF (Українська)

Keywords

capacitor charge
active resistance
inductance
transient
stochastic change
probabilistic properties
continuous probability distribution заряд конденсатора
активное сопротивление
индуктивность
переходный процесс
стохастическое изменение
вероятностные свойства
непрерывное распределение вероятностей

How to Cite

[1]

Щерба, А., Супруновская , Н. and Иващенко, Д. 2019. DETERMINATION OF PROBABILISTIC PROPERTIES OF ELECTRICAL CHARACTERISTICS OF CIRCUITS OF ELECTRIC DISCHARGE INSTALLATIONS TAKING INTO ACOUNT THEIR STOCHASTICALLY CHANGING PARAMETERS. Tekhnichna Elektrodynamika. 4 (Jun. 2019), 003. DOI:https://doi.org/10.15407/techned2019.04.003.

Abstract

An approach to determination of probabilistic properties (probability density function, the probability distribution function, expectation) of electrical characteristics of charge circuits of reservoir capacitors of electric installations whose active resistance can vary randomly is proposed. It is assumed that resistance is characterized by a continuous random variable whose probabilistic properties are known. As examples, the probabilistic properties of capacitor voltage and choke voltage in the circuits of the first and second order with a stochastically changing active resistance having a normal or uniform probability distribution were studied. References 14, figures 3.

https://doi.org/10.15407/techned2019.04.003

ARTICLE_1_PDF (Українська)

References

Sen B., Kiyawat N., Singh P.K., Mitra S., Ye J.H., Purkait P. Developments in electric power supply con-figurations for electrical-discharge-machining (EDM). Proc. 5th International Conference on Power Electronics and Drive Systems, 2003. PEDS 2003. Singapure, 17-20 November 2003. Vol. 1. Pp. 659–664.

Shydlovska N.A., Zakharchenko S.M., Cherkassky O.P. Model of an output circuit of the discharge pulses generator with a plasma-erosive load adequate in wide range of changes of their parameters. Tekhnichna Elektrody-namika. 2015. No 6. Pp. 69–77. (Rus)

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: https://doi.org/10.15407/techned2016.03.009

Beletsky O.A., Suprunovska N.I., Shcherba A.A. Dependences of power characteristics of circuit at charge of supercapacitors on their initial and final voltages. Tekhnichna Elektrodynamika. 2016. No 1. Pp. 3–10. (Ukr)

DOI: https://doi.org/10.15407/techned2016.01.003

Casanueva R., Azcondo F.J., Branas C., Bracho S. Analysis, design and experimental results of a high-frequency power supply for spark erosion. IEEE Transactions on Power Electronics. 2005. Vol. 20. Pp. 361–369.

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.

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.

Shydlovska N.A., Zakharchenko S.M., Cherkassky O.P. The analysis of electromagnetic processes in output circuit of the generator of discharge pulses with non-linear model of plasma-erosive load at change their parameters in wide ranges. Tekhnichna Elektrodynamika. 2016. No 1. Pp. 87–95. (Rus)

DOI: https://doi.org/10.15407/techned2016.01.087

Ivashchenko D.S., Suprunovska N.I. Transients in circuits with stochastic load, which characterized by con-tinuous random variable. Tekhnichna Elektrodynamika. 2016. No 4. Pp. 17–19. (Rus)

DOI: https://doi.org/10.15407/techned2016.04.017

Suprunovska N.I., Ivashchenko D.S. Multilevel model of interdependent transients in circuits of electro-discharge installations with stochastic load. Tekhnichna Elektrodynamika. 2013. No 5. Pp. 5–13. (Rus)

Ventsel E.S., Ovcharov L.A. Probability theory and its engineering applications. Moskva: Vysshaia shkola, 2000. 480 p. (Rus)

Kashyap R.L., Rao A.R. Construction of dynamic stochastic models based on experimental data. Moskva: Nauka. Glavnaia redaktsiia fiziko-matematicheskoi literatury, 1983. 384 p. (Rus)

Lisyev V.P. Probability theory and the mathematical statistics. Moskva: MESI, 2006. 199 p. (Rus)

Demirchyan K.S., Nejman L.R., Korovkin N.V., Chechurin V.L. Electrical engineering theory. Saint-Petersburg: Piter, 2003. Vol. 2. 576 p. (Rus)