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Border collision bifurcation in a DC-DC boost converter is under investigation. Mathematical model of the converter is proposed and exact simulation is carried out. The simulation algorithm is based on Runge-Kutta fourth-order method. Bifurcation diagram of the inductor current versus input voltage is simulated. By decrease of the input voltage, the converter undergoes Neimark-Sacker bifurcation and border collision bifurcation. As a consequence of border collision bifurcation the peak value of the inductor current jumps to a considerably higher value. The same phenomena is reproduced experimentally. The inductor currents before and after border collision bifurcation obtained by the simulation and by the measurement qualitatively match. The increase of inductor current my cause the failure or shortening of the service life of the converter switches. By proper change of the converter parameters border collision bifurcation can be avoided. In order to avoid border collision bifurcation the converter load capacitance and feedback proportional gain are adjusted. In both cases the simulation results and the measurement qualitatively match.
border collision bifurcation ; boost converter ; current stresses ; Neimark-Sacker bifurcation
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