In this paper we study the conditions for the dc/dc boost and buck switching regulators operating in discontinuous conduction mode to possibly undergo a period-doubling route to chaos. The essential mathematical tool is the Schwarzian derivative. The result helps determine the form of feedback control scheme for which a period-doubling route to chaos may exist. Results from the calculations reveal that these two types of converters share the same set of conditions. Specifically, any monotonically decreasing control function with a sufficiently large small-signal gain may give rise to a period-doubling cascade in both the boost and the buck dc/dc switching regulators. The analysis in principle can be applied to other types of converters operating in discontinuous conduction mode.
|Number of pages||6|
|Journal||PESC Record - IEEE Annual Power Electronics Specialists Conference|
|Publication status||Published - 1 Jan 1997|
|Event||Proceedings of the 1997 28th Annual IEEE Power Electronics Specialists Conference, PESC. Part 1 (of 2) - St.Louis, CA, United States|
Duration: 23 Jun 1997 → 26 Jun 1997
ASJC Scopus subject areas
- Electrical and Electronic Engineering