Analysis of Power Electronic Converters via Averaging Theory Approach

Santolo Meo(1*), Luisa Toscano(2)

(1) Dept. of Electrical Eng. and Information Tech. (DIETI), “Federico II” University of Naples, Italy
(2) Dept. of Math. and Appl. "R. Caccioppoli", Univ. of Naples “Federico II”, Italy
(*) Corresponding author



Abstract


This work handles with some novel results on the averaging theory approach for the analysis of feedback controlled PWM power electronic converters. It elaborates some issues about the averaging approximation of time-variant differential systems ascertaining an analytical relationship between the preciseness by means of the solution of the averaged model meets the switched model and the converters switching frequency. This correlation is acceptable both for steady and unsteady systems. Moreover, this paper proves, as corollary, that, under appropriate circumstances (checked in the course of the standard activities of the power electronic converters), the averaged model converges to the switched model, consistently.
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Keywords


Averaging theory, differential time-variant systems, ODE discontinuous right-hand side, variable structure systems

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References


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