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ONE MORE STEP TOWARDS PROVING CHAOS IN CONVERTERS

Evidence of chaotic behavior of electrical circuits can be divided into three categories [1]: a) laboratory experiments, b) computer simulations and c) mathematical proofs. As the author of [1] wrote, mathematical proofs for the chaotic nature of satisfactory model systems were rare in 1987, being the field of electrical circuits no exception. In his opinion, completely convincing evidence for chaotic behavior is only given by a), b) and c) together. In this communication, basic geometrical features will be described for a discontinuous system modelling a dc-dc buck converter under voltage control. The problem we are concerned with in this paper is to prove the existence of an attractor with an embedded horseshoe mechanism and discussing how it is created. The local analysis performed in [2] about the existence of strange attractors in the system is now complemented in a more geometrical way 1.