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

TRANSIENTS IN CIRCUITS WITH STOCHASTIC LOAD, WHICH CHARACTERIZED BY CONTINUOUS RANDOM VARIABLE

Authors
D.S. Ivashchenko¹, N.I. Suprunovska²*
¹ – Amazon.com, Inc., Terry Ave N, Seattle, Washington, United States,
e-mail: Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript
² – Institute of Electrodynamics NAS of Ukraine,
pr. Peremohy, 56, Kyiv-57, 03680, Ukraine,
e-mail: Этот e-mail адрес защищен от спам-ботов, для его просмотра у Вас должен быть включен Javascript
* ORCID ID : http://orcid.org/0000-0001-7499-9142

Abstract

Modification of method of difference equations, allowing to analyze transients in circuits with stochastic load, which characterized by a continuous random variable has been implemented. A method for the transition from stochastic a difference equations with respect to the sought electrical characteristics of the circuit to a deterministic difference equation with respect to average of distribution of the sought characteristics has been described. As an example the transient in a circuit of the second order with the stochastic load having continuous uniform distribution has been considered. References 10, figure 1.

Key words: transients, discharge of capacitor, stochastic load, random process.

Received:    03.02.2016
Accepted:    24.03.2016
Published:   21.06.2016

References

1. Zhuіkov V.Ya., Suchik V.E. Methods for analysis of circuits of rectifier converters with variable structure and any influencing sources by method of difference equations.  Kiev: Kievskii Politekhnicheskii Institut, 1982.  47 p. (Rus)
2. Kashyap R.L., Rao А.R. Construction of dynamic stochastic models based on experimental data.  Moskva: Nauka, 1983.  384 p. (Rus)
3. Lisyev V.P. Probability theory and the mathematical statistics.  Moskva: MESI, 2006.  199 p. (Rus)
4. 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.  P. 5–13. (Rus)
5. Tonkal V.E., Rudenko V.S., Zhuykov V.Ya., Suchik V.E., Denisyuk S.P., Novoseltsev A.V. Valve inverters with graded structure.  Kiev: Naukova dumka, 1989.  336 p. (Rus)
6. Shcherba A.A., Ivashchenko D.S., Suprunovska N.I. Development of difference equations method for analysis of transient processes in the circuits of electro-discharge systems at stochastic changing of load resistance. Tekhnichna Elektrodynamika.  2013.  No 3.  P. 3–11. (Rus)
7. Shcherba A.A., Suprunovska N.I., Ivashchenko D.S. Modeling of nonlinear resistance of electro-spark load taking in to account its changes during discharge current flowing in the load and at zero current in it. Tekhnichna Elektrodynamika.  2014. No 5.  P. 23–25. (Rus)
8. Ivanova O.M., Danylenko M.I., Monastyrsky G.E., Kolomytsev V.I., Koval Y.M., Shcherba A.A., Zaharchenko S.M., Portier R. Investigation of the formation mechanisms for Ti-Ni-Zr-Cu nanopowders fabricated by electrospark Erosion method in cryogenic liquids. Metallofizika i Noveishie Tekhnologii.  2009.  Vol. 31.  No 5.  P. 603–614.
9. Monastyrsky G.E., Yakovenko P.A., Kolomytzev V.I., Koval Yu.N., Shcherba A.A., Portier R. Characterization of spark-eroded shape memory alloy powders obtained in cryogenic liquids. Materials Science and Engineering A.  2008.  Vol. 481-482.  Iss. 1-2.  P. 643–646.
10. Rezinkina, M., Bydianskaya, E., Shcherba, A. Alteration of brain electrical activity by electromagnetic field. Environmentalist.  2007.  Vol. 27.  Nо 4.  P. 417–422.

PDF