Switch-mode power supplies usually emit electromagnetic interferences at the switching frequency and its harmonics. Inducing chaos in these systems has recently been suggested as a means of reducing these spectral emissions, yet at the expense of aggravating the overall magnitude of the ripple in the output voltage. We propose here a new nonlinear feedback, which induces chaos and which is able at the same time to achieve a low spectral emission and to maintain a small ripple in the output. The design of this new and simple controller is based on the propriety that chaotified nonlinear systems present many independent chaotic attractors of small dimensions.

1.
Koizumi
,
H.
,
Sasase
,
I.
, and
Mori
,
S.
, 2002, “
Analysis of Class D-E Resonant DC-DC Converter Using Thinned-Out Method
,”
J. Circuits Syst. Comput.
0218-1266,
11
, pp.
35
50
.
2.
di Bernardo
,
M.
,
Garofalo
,
F.
,
Glielmo
,
L.
, and
Vasca
,
F. M. J.
, 1998, “
Switchings, Bifurcations, and Chaos in DC-DC Converter
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
45
, pp.
133
141
.
3.
Lai
,
Y. M.
,
Tse
,
C. K.
, and
Mehta
,
P.
, 1998, “
A Symbolic Circuit Modeling Program for DC-DC Power Converter Circuits
,”
J. Circuits Syst. Comput.
0218-1266,
8
, pp.
329
335
.
4.
Deane
,
J. H. B.
,
Ashwin
,
P.
,
Hamill
,
D. C.
, and
Jefferies
,
D. J.
, 1999, “
Calculation of the Periodic Spectral Components in a Chaotic DC-DC Converter
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
46
, pp.
1313
1319
.
5.
Lin
,
F. L.
, and
Chen
,
D. Y.
, 1994, “
Reduction of Power Supply EMI Emission by Switching Frequency Modulation
,”
IEEE Trans. Power Electron.
0885-8993,
9
, pp.
132
137
.
6.
Stankovic
,
A. M.
,
Verghese
,
G. C.
, and
Perreault
,
D. J.
, 1995, “
Analysis and Synthesis of Randomized Modulation Schemes for Power Converters
,”
IEEE Trans. Power Electron.
0885-8993,
10
, pp.
680
693
.
7.
Woywode
,
O.
,
Guldner
,
H.
,
Baranovski
,
A. L.
, and
Schwarz
,
W.
, 2003, “
Bifurcation and Statistical Analysis of DC-DC Converters
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
50
, pp.
1072
1080
.
8.
Chan
,
W. C. Y.
, and
Tse
,
C. K.
, 1997, “
Study of Bifurcations in Current-Programmed DC-DC Boost Converters: From Quasi-Periodicity to Period-Doubling
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
47
, pp.
1129
1142
.
9.
In
,
V.
,
Mann
,
S. E.
,
Ditto
,
W. L.
, and
Spano
,
M. L.
, 1995, “
Experimental Maintenance of Chaos
,”
Phys. Rev. Lett.
0031-9007,
74
, pp.
4420
4423
.
10.
Cao
,
H.
,
Chi
,
X.
, and
Chen
,
G.
, 2003, “
Suppressing or Inducing Chaos in a Model of Robot Arms and Mechanical Manipulators
,”
J. Sound Vib.
0022-460X,
271
, pp.
705
724
.
11.
Wang
,
X. F.
,
Chen
,
G.
, and
Man
,
K. F.
, 2001, “
Making a Continuous-Time Minimum-Phase System Chaotic by Using Time-Delay Feedback
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
48
, pp.
641
645
.
12.
Chen
,
G.
, and
Lai
,
D.
, 1997, “
Making a Dynamical System Chaotic: Feedback Control of Lyapunov Exponents for Discrete-Time Dynamical Systems
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
44
, pp.
250
253
.
13.
Wang
,
X.
,
Chen
,
G.
, and
Yu
,
X.
, 2000, “
Anticontrol of Chaos in Continuous-Time Systems via Time-Delay Feedback
,”
Chaos
1054-1500,
10
, pp.
771
779
.
14.
Morel
,
C.
,
Bourcerie
,
M.
, and
Chapeau-Blondeau
,
F.
, 2005, “
Improvement of Power Supply Electromagnetic Compatibility by Extension of Chaos Anticontrol
,”
J. Circuits Syst. Comput.
0218-1266,
14
, pp.
757
770
.
15.
Morel
,
C.
,
Bourcerie
,
M.
, and
Chapeau-Blondeau
,
F.
, 2005, “
Generating Independent Chaotic Attractors by Chaos Anticontrol in Nonlinear Circuits; Chaos
,”
Chaos, Solitons Fractals
0960-0779,
26
, pp.
541
549
.
16.
Fossas
,
E.
, and
Olivar
,
G.
, 1996, “
Study of Chaos in the Buck Converter
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
43
, pp.
13
25
.
17.
Tse
,
C.
, 2003,
Complex Behavior of Switching Power Converters
,
CRC
,
New York
.
18.
Hamill
,
D. C.
,
Deane
,
J. H. B.
, and
Jefferies
,
D. J.
, 1992, “
Modeling of Chaotic DC-DC Converters by Iterated Nonlinear Mappings
,”
IEEE Trans. Circuits Syst., I: Fundam. Theory Appl.
1057-7122,
7
, pp.
25
36
.
19.
Li
,
Z.
,
Park
,
J.
,
Chen
,
G.
,
Young
,
H.
, and
Choi
,
Y.
, 2002, “
Generating Chaos Via Feedback Control From a Stable TS Fuzzy System Through a Sinusoidal Nonlinearity
,”
Int. J. Bifurcation Chaos Appl. Sci. Eng.
0218-1274,
12
, pp.
2283
2291
.
20.
Morel
,
C.
,
Bourcerie
,
M.
, and
Chapeau-Blondeau
,
F.
, 2004, “
Extension of Chaos Anticontrol Applied to the Improvement of Switch-Mode Power Supply Electromagnetic Compatibility
,”
Proceedings of the IEEE International Symposium on Industrial Electronics ISIE’04
,
Ajaccio, France
, pp. 447–452.
You do not currently have access to this content.