Keywords
electrical circuits with variable structure
stochastic process метод разностных уравнений
цепи с изменяющейся структурой
случайный процесс
How to Cite
Abstract
The objective of work was the development of the method of difference equations for the calculation of transients in circuits of electro-discharging systems with stochastically changing electrical resistance. The following tasks were performed in order to achieve the objective: circuit state changes were presented in the form of a discrete random process; random changes in the structure of the circuit were studied; characteristics of random structure changes were presented in the form of parameters of the dynamical system; analysis of the circuit was performed with method of difference equations using probability estimates. Transients in circuits of electric-discharge pulse shaper for electro-spark dispersion system were analyzed as an example. Sequence of related capacitor charges and discharges transients in circuits with stochastically changing electrical resistance were analyzed. It was assumed that all the circuit elements are linear, and changes in circuit structure are described by the probability law. As a result of research was suggested an approach to the analysis of related transient processes in circuits with stochastically varying parameters. Approach focuses on the analysis of processes related to stochastic changes in the structure of piecewise-linear circuit. References 10, figures 4.
References
Bessonov L.A. Electrical engineering theory. – Moskva: Vysshaya shkola, 1978. – 638 p. (Rus)
Ventsel E.S., Ovcharov L.A. Probability theory and its engineering applications. – Moskva: Vysshaia shkola, 2000. – 480 p. (Rus)
Demirchan K.S., Neiman L.R., Korovkin N.V., Chechurin V.L. Electrical engineering theory. – Sainkt-Petersburg: Piter, 2003. – 576 p. (Rus)
Romanko V.K. Difference equations. – Moskva: Binom, 2006. – 112 p. (Rus)
Suprunovskaia N.I. Energy characteristics at initial conditions changing during capacitor oscillatory charge from direct-voltage source // Tekhnichna elektrodynamika. – 2008. – №4. – Pp. 27–33. (Rus)
Tonkal V.E., Rudenko V.S., Zhuikov V.Ya, Suchik V.E., Denisyuk S.P., Novoseltsev A.V. Valve inverters with graded structure. – Kiev: Naukova dumka, 1989. – 336 p. (Rus)
Shidlovkii A.K., Suprunovskaia N.I. Energy processes in electric circuits of discharge-pulse systems with capacitive energy storage at limitation of its discharge duration through electrical spark load and non-zero conditions its charging // Tekhnichna elektrodynamika. – 2010. – №1. – Pp. 42–48. (Rus)
Shidlovkii A.K., Shcherba A.A., Suprunovskaia N.I. Energy processes in charge and discharge circuits of capacitors of electro-pulse systems. – Kiev: Interkontinental-Ukraina, 2009. – 208 p. (Rus)
Shcherba A.A., Suprunovskaia N.I., Ivashchenko D.S. Analysis of conditions of voltage stabilization of electrodischarge systems during oscillatory discharge its capacitive energy storage through load with changing resistance // Tekhnichna elektrodynamika. Tematychnyi vypusk "Sylova elektronika ta enerhoefektyvnist". – 2009. – Vol.1. – Pp. 61–65. (Rus)
Shcherba A.A., Suprunovskaia N.I., Sinitsyn V.K., Ivashchenko D.S. Aperiodic and oscillatory discharge processes of capacitor at forced limitation of current duration in load // Tekhnichna elektrodynamika. – 2012. – № 3. – Pp. 9–10. (Rus)
Shcherba A.A., Tretiak M.V., Ivashchenko D.S. Analysis transient and steady state modes of accumulator battery and supercapacitors connecting in-parallel to power system of electric vehicles // Tekhnichna elektrodynamika. Tematychnyi vypusk "Sylova elektronika ta enerhoefektyvnist". – 2011. – Vol.2. – Pp. 93–98. (Rus)
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