Abstract
This paper presents a practical algebraic unified design method for the selection of capacitors in dc-dc switching converters. The model adopted accounts for the correlation existing between the capacitance <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">C</i> and the equivalent series resistance ( <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ESR</i> ) of capacitors and provides reliable design formulas for the choice of commercial components. The application of the method is illustrated for the design of capacitors complying with maximum acceptable steady-state ripple voltage. A piecewise-defined algebraic function is introduced, which expresses the boundary of the capacitor acceptability region in the <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">C</i> - <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ESR</i> plane. Numerical and experimental validations, referred to the design of capacitors of a single-ended primary inductor converter (SEPIC), prove the effectiveness of the method.
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