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World Journal of Engineering
Research and Technology

An International Peer Reviewed Journal for Engineering Research and Technology

ISSN 2454-695X

Impact Factor : 5.924

ICV : 79.45

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Abstract

A MATHEMATICAL MODEL OF CHAOTIC PROCESSES IN A BOOST CONVERTER: GENERATION AND SYNCHRONIZATION

Yuval Beck and Yefim Berkovich*

ABSTRACT

The paper presents a mathematical model, developed with a Matlab program, of a Boost Converter with a control system for studies of chaotic processes originating in the converter, and of various methods of preventing them. The choice of a mathematical model instead of known specialized programs for modeling power electronics circuits is due to the fact that such approach makes it possible to use the entire mathematical apparatus available for carrying out many calculations and processing their results. As will be seen from the paper, the model is sufficiently flexible and compact and allows for simple cyclic calculations of various chaotic processes. For the first time, the paper considers two ways of realization of Current Mode Control (CMC) – by the upper limit of pulses of the input inductance current, and by the lower one. Basing on these, the newly proposed ways of synchronization (preventing) of chaotic processes have been tested on the two mentioned control modes. In the conclusion, a number of calculations on the mathematical model have been compared with the results of modeling with the Orcad-Pspice program, which have shown their totally adequate character.

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