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Power electronic systems exhibit different types of fast- and slow-scale instabilities which limit the stable operating range of the parameters. It has been shown that the stability of complex power electronic systems can be fruitfully investigated using the Filippov method, where the stability of the system is given by the eigenvalues of the monodromy matrix, which is a combination of the state transition...
Novel controllers to improve the stability of coupled interleaved buck converters operating under current-mode control are proposed in this paper. The controllers are employed to force the eigenvalues of the monodromy matrix of the system (the state transition matrix over one full cycle) inside the unit circle, thus avoiding the Neimark bifurcation which has been known to occur in this system. The...
The paper studies the stability of parallel DC/DC converters using the concept of monodromy matrix (the state transition matrix for one complete cycle), whose eigenvalues are the Floquet multipliers. This matrix is composed of the state transition matrices for the smooth intervals and those across the switching events (called saltation matrices). We show that instabilities in this system can be caused...
This brief proposes a novel controller which greatly enhances the performance of a power-factor correction converter. This controller is optimally tuned to place the eigenvalues of the system well inside the unit circle and hence it guarantees stable operation over a wide range of input voltages. The design of the controller is based on the stability analysis of the system using the state transition...
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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