Inductive excitation of a serial RLC-circuit with rectangular voltage pulses. Calculated relations

Abstract

Problem. The “voltage resonance” conditions in the well-known theories and applications, as a rule, are formulated only for a sinusoidal signal, at a certain frequency and in a steady state. Inductive excitation of a sequential active-reactive circuit with anharmonic signals from a practical point of view is of greater interest. Goal. The purpose of this work is to obtain design ratios for the characteristics of inductive excitation of voltage resonance in a system of two inductively coupled sequential active-reactive circuits by anharmonic signals, the spectrum of which, along with the fundamental frequency of oscillations, contains so-called higher harmonics with frequencies multiple to the main type of oscillations. Methodology. With the help of limiting transitions to the corresponding, the reliability of the found basic analytical dependences for the excited currents and voltages is shown. The obtained calculated relations are based on rigorous mathematical approach using the apparatus of the theory of electrical circuits. Results. The amplitude-time form of the excited current is found by solving the transient problem. The dependence obtained allows us to analyze the flowing processes, determine the effect of circuit electrical parameters and establish the contribution of higher harmonics to the formation of the output signal, as well as calculate specific indicators of the effectiveness and efficiency of the system under consideration under anharmonic excitation. Originality. The scientific novelty consists in obtaining the calculated amplitude-time dependence for the current in the secondary circuit with inductive excitation of the voltage resonance in a system of two inductively connected successive active-reactive circuits by anharmonic signals, whose spectrum, together with the fundamental frequency of oscillations, contains the so-called highest harmonics with frequencies multiples of the main type of vibrations. Practical value. The results of the analysis are necessary for the design of electrical devices with resonant components. For example, to supply high-resistance loads with increased voltage, in induction heating devices, etc.Key words: Tesla transformer; inductively coupled circuits; Q-factor; transformation ratio; voltage amplifier.