In this paper, the long-run dynamics of a controlled resonant converter, modelled as a piecewise system, is studied. The modelling of the resonant converter can be done using various approximations and the long-run dynamics of the two dimensional cases were earlier analysed. In this paper, we discuss results that can be extended to the three dimensional case. It seems that limit cycles describe the longrun dynamics in important situations in the three dimensional case, too. Our objective is to relate the limit cycles found previously in the two-dimensional case to those found now in the three dimensional approximation.
Analys av dynamiken i en reglerad resonant omvandlare, modellerad som ett tredimensionellt styckvis linjärt system. Analysen bygger på metoder som använts för en tvådimensionell modell av omvandlaren. Två typer av gränscykler presenteras. Analysen ger underlag för bedömning av regulatorkonstruktion för en industriell tillämpning.