Stability analysis of a feedback-controlled resonant DC-DC converter

Octavian Dranga, Balázs Buti, I. Nagy

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

This paper reports on the stability analysis of one member of a dual-channel resonant dc-dc converter family. The study is confined to the buck configuration in symmetrical operation. The output voltage of the converter is controlled by a closed loop applying constant-frequency pulsewidth modulation. The dynamic analysis reveals that a bifurcation cascade develops as a result of increasing the loop gain. The trajectory of the variable-structure piecewise-linear nonlinear system pierces through the Poincaré plane at the fixed point in state space when the loop gain is small. For stability criterion the positions of the characteristic multipliers of the Jacobian matrix belonging to the Poincaré Map Function defined around the fixed point located in the Poincaré plane is applied. In addition to the stability analysis, a bifurcation diagram is developed showing the four possible states of the feed-back loop: the periodic, the quasi-periodic, the subharmonic, and the chaotic states. Simulation and test results verify the theory.

Original languageEnglish
Pages (from-to)141-152
Number of pages12
JournalIEEE Transactions on Industrial Electronics
Volume50
Issue number1
DOIs
Publication statusPublished - Feb 2003

Fingerprint

DC-DC converters
converters
direct current
Feedback
Jacobian matrices
Stability criteria
Frequency modulation
Dynamic analysis
Nonlinear systems
Trajectories
multipliers
Electric potential
nonlinear systems
frequency modulation
cascades
diagrams
trajectories
output
electric potential
configurations

Keywords

  • Resonant dc-dc converter
  • Stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Instrumentation

Cite this

Stability analysis of a feedback-controlled resonant DC-DC converter. / Dranga, Octavian; Buti, Balázs; Nagy, I.

In: IEEE Transactions on Industrial Electronics, Vol. 50, No. 1, 02.2003, p. 141-152.

Research output: Contribution to journalArticle

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