РАЗВИТИЕ МЕТОДА РАЗНОСТНЫХ УРАВНЕНИЙ ДЛЯ АНАЛИЗА ПЕРЕХОДНЫХ ПРОЦЕССОВ В ЦЕПЯХ ЭЛЕКТРОРАЗРЯДНЫХ УСТАНОВОК ПРИ СТОХАСТИЧЕСКОМ ИЗМЕНЕНИИ СОПРОТИВЛЕНИЯ НАГРУЗКИ

• Date: 2013
• Main Authors: Щерба, А.А., Иващенко, Д.С., Супруновская, Н.И.
• Format: Article
• Language: Ukrainian
• Published: Інститут електродинаміки НАН України, Київ 2013
• Subjects: метод разностных уравнений; цепи с изменяющейся структурой; случайный процесс
• Online Access: https://techned.org.ua/index.php/techned/article/view/1157
• Journal Title: Technical Electrodynamics

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.