Análise das principais técnicas de modelagem e projeto de controladores para conversores CC/CC

Abstract

This work has as objective carry out an in-depth study of techniques for obtaining the mathematical model of DC-DC converters, Buck, Boost and Buck-Boost topologies, as well as the design of controllers for them. Initially, the present work brings the main concepts about DC-DC converters and research into mathematical modeling, followed by the study of steady-state converters to obtain static gain and dimensioning of passive elements. Next, the steps for linearization of these converters are defined, applied using the methods of state space theory, equivalent mean circuit and the PWM switch. With this, for each technique used, the DC and AC models will be obtained, linearized by small signals, for the Buck, Boost and Buck-Boost converters. From such models, the transfer functions of these converters are obtained, which will be analyzed and compared with the respective circuits. The design of PI controllers for the three converters discussed will also be carried out, using the frequency response method, as well as the implementation of single-loop control for the three converters, and multimesh control for the Boost and Buck-Boost converters. Finally, simulation results will be presented considering both operating modes of these converters, open-loop and closed-loop operation, via the Virtual Typhoon-Hil tool.