Computer-aided analysis of boost-buck converter in optimal topology

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Abstract
An exact algorithm for computing the transient response and the steady-state of DC-to-DC converters containing three reactive elements is proposed. The procedure is ‘top-down’ and automatable; it starts from a general, symbolic formulation and works down to the actual circuit. The method is applied to the analysis of the boost-buck converter operating in both continuous and discontinuous conduction modes. The basic circuit considered for the boost-buck converter contains mutual coupling between the input and output inductors, DC resistances of the inductors and on-resistance of the switching elements, but no load capacitor. The influence of the mutual inductance on the currents ripple is studied. The results are compared with the response, computed using a numerical method, of the boost-buck converter containing a load capacitor.

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