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Modified input-to-output and control-to-output transfer functions of a non-ideal buck converter working in discontinuous conduction mode

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Walczak M.

tom Vol. 73, nr 4

1025--1045

Small-signal models of a buck converter working in the discontinuous conduction mode that are available in the literature usually can be divided into those which contain a single pole and refer to non-ideal converters and those that describe ideal converters and contain two poles. Even though the models are noticeably different they have been validated through simulations and measurements, which suggests both of them are correct. The purpose of this paper is to provide a comprehensive comparison of the existing models with transient simulations done in OrCAD software and through measurements, to show that both of the mentioned models are true for a specific set of converter parameters, and to propose a two-pole, control-to-output and input-to-output transfer functions of a non-ideal buck converter, that can be used in any buck converter working in discontinuous conduction mode.

Methods of DC/DC converter transfer function measurements, based on data acquired in the time domain

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Walczak M.

tom Vol. 26, nr 4

661--671

The measurement of frequency characteristics, like magnitude and phase, related to a specific transfer function of DC–DC converters, can be a difficult task - especially when the measured signal approaches the boundary of a small-signal model validity (i.e. 1/3 of the switching frequency fS ). It is hard to find a paper where authors mention the measurement techniques they use to draw frequency characteristics. Meanwhile the presence of noise in the output signal does not enable to directly measure the gain and the phase shift between the input and output signals. In such situations additional analysis is required in order to achieve a reliable result. This paper contains a description of a few methods that can be used to analyse measured signals in order to determine the gain and the phase shift of a specific transfer function. They enable to verify mathematical models in a wide range of frequencies (up to 1/3 fS ). The methods use signals measured in the time domain and can be implemented in mathematical software such as Matlab or Scilab.