Direct excitation of a series resonant circuit by rectangular voltage pulses. Analysis, numerical evaluation

Abstract

Expansion of the use of resonance phenomena in high-effective electrical devices requires detailed consideration of the processes occurring in them. Devices that include a sequential active-reactive circuit are particularly interesting. Such devices allow obtaining multiple power amplification when selecting the appropriate parameters. The purpose of this work is to analyze the direct resonant excitation of a sequential active-reactive circuit with periodic series of rectangular unipolar or oscillating voltage pulses with a resonant frequency of their repetition and, accordingly, to determine its response to excitation. As a result of solving the corresponding problem, differential equations are formulated. Their solution was carried out using an operator method and expressions for currents excited in the circuit were obtained. It is shown that the first harmonic in the amplitude-frequency decomposition, both in the case of unipolar and in the case of oscillating excitation, determines the harmonic component of the excited current with a frequency equal to the resonant frequency and an amplitude equal to the ratio of the amplitude of the first harmonic of the exciting voltage and active resistance of the series resonant circuit. A slightly higher efficiency of unipolar excitation of harmonic processes is noted in comparison with excitation by oscillating sequences of periodic voltage pulses. It is shown that, both in the case of unipolar and oscillating excitation, the contribution of higher spectral components, regardless of the type of input voltage, decreases significantly with increasing Q-factor of the resonant circuit, and with a significant increase in Q-factor, the excited current becomes strictly harmonic.