A Unified Rule-Based Small-Signal Modelling Technique for Two-Switch, Non-Isolated DC–DC Converters in CCM

Lebogang Masike, Michael Njoroge Gitau and Grain P. Adam
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Lebogang Masike: Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Pretoria 0002, South Africa
Michael Njoroge Gitau: Department of Electrical, Electronic and Computer Engineering, University of Pretoria, Pretoria 0002, South Africa
Grain P. Adam: Department of Energy, NEOM, Tabuk 49643, Saudi Arabia

Energies, 2022, vol. 15, issue 15, 1-23

Abstract: The inherent non-linear behavior of switch-mode power supplies complicates the task of computing their linear models, which are essential for a model-oriented control design of DC–DC converters. In a model-oriented control design approach, the accuracy of the plant model directly influences the performance of the control system as the plant parameters tend to be linked to the controllers’ gains. Moreover, the extractions of linear dynamic models of high-order non-linear plants such as DC–DC converters are laborious and mathematically intractable. Therefore, in this paper, a generalized expression that represents either the audio-susceptibility or the control-to-output voltage transfer function for voltage-mode control is proposed. The proposed generalization reduces the task of computing the small-signal model of a given converter to simple calculations of coefficients of generalized transfer function/expression. It is shown that the coefficients of the generalized model can be deduced by inspection, directly from the circuit diagram, allowing the whole model to be computed by inspection. Additionally, the proposed modelling technique will be shown to have secondary use of verifying accuracy even when conventional modelling techniques such as state-space averaging or circuit averaging are used.

Keywords: DC–DC converter; small-signal modelling; converter dynamics; unified analysis; controller design; generalized model; CCM (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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