On the form of feedback function that can lead to chaos in discontinuous-mode DC/DC converters

Author

Chan, William C Y ; Tse, C.K.

Author_Institution

Dept. of Electron. Eng., Hong Kong Polytech., Kowloon, Hong Kong

Volume

2

fYear

1997

fDate

22-27 Jun 1997

Firstpage

1317

Abstract

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 converter 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

Keywords

DC-DC power convertors; chaos; feedback; switching circuits; voltage control; DC/DC boost switching regulators; DC/DC buck switching regulators; Schwarzian derivative; chaos; discontinuous conduction mode; discontinuous-mode DC/DC converters; feedback control; feedback function; mathematical tool; monotonically decreasing control function; small-signal gain; Adaptive control; Chaos; Circuits; Control systems; DC-DC power converters; Feedback control; Open loop systems; Regulators; Switching converters; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Electronics Specialists Conference, 1997. PESC '97 Record., 28th Annual IEEE

Conference_Location

St. Louis, MO

ISSN

0275-9306

Print_ISBN

0-7803-3840-5

Type

conf

DOI

10.1109/PESC.1997.616939

Filename

616939