Abstract

Abstract Small-signal transmittances: input-to-output and control-to-output of BUCK converter power stage working in CCM or DCM mode are discussed. Ideal converter case and converter with parasitic resistances are considered separately. Derivations of small-signal transmittances, based on different approaches to finding the converter averaged models, are presented and the results are compared. Apart from theoretical considerations, some results of numerical calculations are presented.

Highlights

  • There is a great amount of applications of switch-mode DC-DC power converters, especially step-down (BUCK) converters based on PWM control

  • After general remarks about the derivation of averaged models and small-signal transmittances in Section 2, the presentations of small-signal transmittances of BUCK converter for conduction mode (CCM) and discontinuous conduction mode (DCM) mode are given in Secs. 3 and 4 respectively

  • Ideal BUCK converter works in discontinuous conduction mode (DCM) if the following condition holds: G

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Summary

Introduction

There is a great amount of applications of switch-mode DC-DC power converters, especially step-down (BUCK) converters based on PWM control. Small-signal transmittances, being the object of this paper, may be considered as special case of power stage averaged models. Differences in averaged models, and related small-signal transmittances, presented in various sources, result from differences in assumed description of parasitic effects in converter components. The averaged and small-signal descriptions have the form of equivalent circuits only, without analytical descriptions of respective transmittances In such cases the formulas for small-signal transmittances are derived and discussed in the paper. After general remarks about the derivation of averaged models and small-signal transmittances, the presentations of small-signal transmittances of BUCK converter for CCM and DCM mode are given in Secs. On the contrary, more attention is paid to discussion of models for DCM because the differences in models obtained by different methods are greater for DCM than for CCM

Methods of averaged models and small-signal transmittances derivation
Small-signal transmittances
Ideal converter
The influence of parasitic resistances on small-signal transmittances in CCM
Numerical examples
Small-signal transmittances of BUCK converter working in DCM
Formulas for BK and T are similar and give the same numerical values if:
Numerical examples for DCM
Conclusions
Methods

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