Zhusubaliyev, Zhanybai T.4; Mosekilde, Erik1; Pavlova, Elena V.3
1 Department of Physics, Technical University of Denmark2 Southwest State University3 South West State University4 Southwest State University
By virtue of their limited size and relatively low costs, multilevel dc-dc converters have come to play an important role in modern industrial power supply systems. When operating in a regime of high corrector gain, such converters can display a variety of new dynamic phenomena associated with the appearance of additional oscillatory modes. Starting in a state where four pairs of stable and unstable period-6 cycles coexist with the basic period-1 cycle, the paper describes a sequence of smooth and nonsmooth bifurcations through which the cycles and their basins of attraction transform as the output voltage is increased. The paper also describes the birth of a multilayered resonance torus through a transverse pitchfork bifurcation of the saddle cycle on an ordinary resonance torus.
I E E E Transactions on Industrial Informatics, 2013, Vol 9, Issue 4, p. 1937-1946
bifurcation; DC-DC power convertors; oscillations; Power, Energy and Industry Applications; Signal Processing and Analysis