Основные расчётные соотношения в двухконтурном резонансном усилителе электрической мощности

Abstract

Based on a Tesla transformer and an idealized circuit of two consecutive reactive active inductively coupled circuits with zero active resistance of the secondary circuit, a scheme of a resonant electric power amplifier is proposed. The main analytical expressions for the characteristics of the flowing electromagnetic processes in the real version of the proposed resonant amplifier with finite resistances are obtained. The transformation coefficient in the form of a relation connecting the phenomenon of electromagnetic induction and resonance in a functional dependence on the key parameters of the proposed scheme is found. With the help of limiting transitions to the corresponding analogues in authoritative special publications, the reliability of the found basic analytical dependences for the excited currents and voltages is shown. The obtained calculated relations are based on physically "transparent" phenomenological computation and a rigorous mathematical approach using the apparatus of the theory of electrical circuits. Since it is of practical interest to work the object under study in the stationary mode with harmonic input signals, the method of complex amplitudes was used exclusively in the calculations without invoking any physical hypotheses about the causality of resonance phenomena in their connection with the fundamental ideas about the structure of the surrounding world. The scientific novelty of this work consists in proposing the actual circuit of a resonant power amplifier of harmonic signals, obtaining reliable basic relations for analyzing the flowing electromagnetic processes, numerical estimates for comparison with experimental data and, ultimately, substantiating the practical effectiveness of proposed the resonant power amplifier circuit. Practical significance: the obtained analytical dependences for the main characteristics of the processes in the proposed scheme of a resonant electric power amplifier are of practical interest for further theoretical studies, as well as for the formulation of recommendations for the manufacture of existing samples of the present proposal. Ways to further research: the further analysis and experimental study of electromagnetic processes in the proposed scheme of a resonant amplifier of electrical power seems very promising in the direction of the research.