Abstract
The study is devoted to the issues of assessing the frequency characteristics of pulse-width DC/DC converters, namely the input and output operator resistances. Currently, secondary power supply systems are complex multi-module systems, where the urgent task is to ensure the structural stability. This is only possible if there is comprehensive information about the input and output resistance of each module. The stability of such systems is determined based on the ratio of the output and input resistances of cascaded modules. The article is concerned with DC/DC converters based on a boost converter with a control system based on time-delayed feedback control, which can operate as part of complex power supply systems. A modified structure of a nonlinear process control unit is proposed, implemented using analog components. A small-signal electrical model of the converter under consideration is presented. Analytical expressions for the input and output operator resistances are obtained, allowing them to be analyzed in the frequency area. The boundaries of the existence regions of the desired converter operating modes in the space of the two regulator parameters are constructed and it is shown that a situation is possible when, in a certain region of parameters, a linearized model shows the instability of the system, and a nonlinear dynamic model appears in the same region the existence and stability of the desired dynamic mode. The analysis of the frequency characteristics of the input and output resistances of the converter has been carried out and it has been shown that the introduction of a control unit for nonlinear processes based on time-delayed feedback control leads to the transformation of the frequency dependences of the module and the phase of the input and output resistances, which can significantly affect the power supply system in which the work operates. It is shown that the frequency dependences of the resistances undergo the greatest transformation in the mid-frequency region. The phase of resistance changes significantly. In the high and low frequency regions, the influence of delayed feedback is not detected. The proposed analytical expressions are universal in nature and can be adapted for a wide class of DC/DC converters.
Keywords
power supply system, boost converter, pulse width modulation, stability, operator resistance, frequency characteristics, point mapping method, small signal model, nonlinear dynamic model, desired dynamic mode
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