Title :
Hopf bifurcation and chaos in a hysteretic current-controlled Cuk regulator
Author :
Tse, C.E. ; Lai, Y.M. ; Iu, H.H.C.
Author_Institution :
Dept. of Electron. Eng., Hong Kong Polytech., Kowloon, Hong Kong
Abstract :
A free-running Cuk power converter is studied in this paper. An autonomous state equation and its dimensionless form are derived. Analysis of this equation shows that the system loses stability via a supercritical Hopf bifurcation. The boundary of stability is derived and trajectories of motion studied. In the unstable region, the largest Lyapunov exponent is positive, verifying the chaotic operation. Computer simulations of the actual system and experimental results verify the analytical results regarding stability and chaos
Keywords :
DC-DC power convertors; Lyapunov methods; bifurcation; chaos; control system analysis computing; electric current control; stability; Lyapunov exponent; autonomous state equation; chaos; chaotic operation; computer simulation; free-running Cuk power converter; hysteretic current-control; stability boundary; supercritical Hopf bifurcation; Bifurcation; Chaos; Control systems; Equations; Hysteresis; Inductors; Regulators; Stability analysis; Switches; Voltage control;
Conference_Titel :
Power Electronics Specialists Conference, 1998. PESC 98 Record. 29th Annual IEEE
Conference_Location :
Fukuoka
Print_ISBN :
0-7803-4489-8
DOI :
10.1109/PESC.1998.703140
