Frequency Synthesis of a Self-Oscillating Pulse Converter with a Hysteresis Relay Element and Double-Sided Differential PWM
DOI:
https://doi.org/10.24160/0013-5380-2026-7-61-74Keywords:
DC-DC voltage pulse converters, differential PWM, current feedback, hysteretic relay element, self-oscillations, series-connected compensator, frequency method, analytical algorithmAbstract
The article addresses the problem of synthesizing a self-oscillating pulse converter able to ensure acceptable quality of transients in the converter linearized control system, as well as acceptable frequency and amplitude of self-oscillations. The solution of this problem involves substantiating an analytical algorithm for determining the parameters of self-oscillations based on the well-known Goldfarb’s frequency method. To calculate the parameters of self-oscillations, analytical expressions are used to determine the dependence of the gain of the corrected linearized open-loop system on the cutoff frequency of the asymptotic logarithmic amplitude-frequency response (LAFR). In addition, two equations derived from the frequency method for determining self-oscillations are employed. These make it possible to calculate the frequency and amplitude of self-oscillations given the cutoff frequency and the parameters of the mid-frequency section of the asymptotic LAFR of the corrected linearized open-loop system. The dependences of the linearized open-loop system gain and the stability margin with respect to phase shift on the cutoff frequency and the frequency and amplitude of self-oscillations on the parameters of the mid-frequency section of the asymptotic LAFR at a specified cutoff frequency are calculated. By analyzing the calculated dependences, it is possible to determine the parameters of the series-connected correcting device. The obtained analytical relations and calculated curves have been verified experimentally using a simulation model in the MATLAB/Simulink environment.
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