ВИКОРИСТАННЯ МЕТОДУ БАГАТОПАРАМЕТРИЧНИХ ФУНКЦІЙ ДЛЯ АНАЛІЗУ ПЕРЕХІДНИХ ПРОЦЕСІВ У ЕЛЕКТРИЧНИХ КОЛАХ ЗМІННОЇ СТРУКТУРИ

Abstract

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.

Keywords

• transient
• method of multi-parameter functions
• capacitor discharge
• electro-spark load
• discharge duration