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A new self-compensation technique is proposed for eliminating subharmonic oscillation and chaotic regimes in dc–dc switching converters under peak current mode control. The proposed method extracts a control signal from the error between the inductor current and a suitable reference and does not require an external signal generator as in the conventional ramp compensation scheme. The analytical expressions...
This paper examines the spatio temporal patterns of a set of a (2+1) dimensional partial differential equations (PDE) describing the dynamics of semiconductor external cavity THz lasers. The study is conducted in two phases: (a) first we show that the behaviour of the single mode system may be periodic or chaotic; (b) the output power may be optimized by proper choices of parameters, such as cavity...
The existence of period-doubling bifurcation cascades and chaos in DC drives with full-bridge converter is well known. This paper reports for the first time the occurrence of coexisting attractors with a fractal basin of attraction in this relatively simple deterministic system. At some parameter values the trajectories converge on either a period-1 or a period-3 attracting set depending on the initial...
In our earlier work, we showed that the discrete-time model of a dc-dc converter governed by a pulse skipping modulation (PSM), could be modeled as a discontinuous map, comprising either 1-D functions only or a combination of 1-D and 2-D functions. In this paper, we show that the entire map can be restricted to one dimension for a wide range of parameters. As a parameter is varied, the periodicity...
Many practising engineers seem to have the impression that the recent developments in bifurcations and chaos in power electronic circuits are mere exercises in mathematics, and have little relevance to actual practice. This paper is an attempt to break that myth. We show that much of the emergent new knowledge give a better understanding of the stability of power electronic circuits, which are valuable...
The appearance of nonlinear phenomena like bifurcations and chaos in dc-dc converters are mainly studied by using the Poincare map of the system. This paper presents an alternative method based on the eigenvalues of the state transition matrix over one full cycle which provides better insight of the system and its stability properties. The paper shows how the state transition matrix for a full cycle...
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