Title :
Complex Phenomena in SEPIC Converter Based on Sliding Mode Control
Author :
Wang, Shi-bing ; Zhou, Yufei ; Iu, Herbert H C ; Chen, Jun-ning
Author_Institution :
Dept. of Electron., Anhui Univ., Hefei
Abstract :
A hysteretic current-controlled SEPIC converter, which uses the sum of two inductor currents as the control variable, is discussed. The operation states of the converter are studied based on the theory of sliding mode control. The equivalent control and relative differential equations on the sliding surface are derived, based on which, the stability of equilibrium point is analysed with the calculation of eigenvalues. With numerical calculation and computer simulation, it is shown that the equilibrium point will lose the stability via a Hopf bifurcation when the current reference increases. Subsequently the converter will exhibit complex dynamical behavior including limit cycle, double limit cycle, quasi-periodicity, and chaos by increasing the current reference furthermore.
Keywords :
bifurcation; eigenvalues and eigenfunctions; inductors; power convertors; variable structure systems; Hopf bifurcation; current reference; eigenvalues; equilibrium point stability; equivalent control; hysteretic current-controlled SEPIC converter; relative differential equations; single ended primary inductor converter; sliding mode control; sliding surface; Bifurcation; Chaos; Computer simulation; Differential equations; Eigenvalues and eigenfunctions; Hysteresis; Inductors; Limit-cycles; Sliding mode control; Stability analysis;
Conference_Titel :
Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on
Conference_Location :
New Orleans, LA
Print_ISBN :
1-4244-0920-9
Electronic_ISBN :
1-4244-0921-7
DOI :
10.1109/ISCAS.2007.377945