Identification by means of numerical simulation of feedback parameters in a system of a DC-DC buck converter controlled by a PID controller


Аuthors

Tarasov D. Y.1*, Sukhomlino G. L.1**, Mikhailov V. V.2***

1. Baumann Moscow State Technical University, 105005, Moscow, 2nd Baumanskaya St., b. 5, c. 1
2. Leonov Moscow Region University of Technology, Korolev, Moscow Region, Russia

*e-mail: tarasovdu@bmstu.ru
**e-mail: sukhomlinov@bmstu.ru
***e-mail: mo_techuniv@mosreg.ru

Abstract

In the introductory part of the article, it is noted that DC-DC buck converters are widely used as power sources in various technical devices designed to operate in conditions of low input voltage levels. The principle of operation of the DC-DC buck converter being considered, regulated by means of a digital PID controller, is described. It is indicated that currently computational studies in the development of such converters are carried out, as a rule, using such powerful software systems as MATLAB/Simulink. At the same time, there remains a demand for the creation of simpler computing tools that can be relied upon not only for specific calculations, but also to confirm the reliability of the results obtained on the basis of these software packages. It is indicated that the purpose of this article is to demonstrate the possibilities of using these calculation tools in solving problems related to the identification of parameters of the noted type of converter by taking into account reliable data on its dynamic characteristics. 
The main content of the article is devoted to the description of two of the designated calculation tools used in computational research. The calculation scheme of a step-down pulse converter is presented here and the corresponding (based on an approximate "continuous" calculation model) dynamics problem is formulated in the form of a system of two first-order differential equations (with respect to the current i through the inductor and the voltage UН of the load). It is assumed that the control system of the converter under discussion is based on the use of a digital PID controller in the feedback structure (which has the capabilities to implement proportional, integral and differential communication). An equation describing the functioning of the feedback link is presented, which includes three parameters in accordance with the three types of communication noted. Based on the obtained ratios, an equation is formulated that establishes the relationship between the control parameter at the input and output of the open loop of the control system under consideration. A reference is given to the algorithm developed and implemented in the form of a program for calculating the frequency characteristics of such an open loop. (Based on their analysis, a conclusion is made about the stability of the closed-loop control system). A system of linear differential equations describing the dynamics of the controlled (feedback) buck converter is also formulated. An algorithm for the numerical solution of this type of dynamics problem based on the use of an implicit Euler scheme is presented. An example of the application of the described two computational models to the solution of the task of identifying the values of the feedback parameters of the converter accepted for consideration is demonstrated.
The final part of the article contains conclusions on the completed research. A brief description of the two proposed computational models is given here. It is also indicated that the reliability of the results obtained using these computational models is confirmed by a good agreement of these results with the experiment.

Keywords:

DC-DC buck converter, feedback, frequency analysis, implicit Euler scheme of numerical integration

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