Extending the Generalized Bode Criterion to Black-Box Power Systems: A Practical Approach for Stability Evaluation

  • Asier A. De Miguel*
  • , Salvador Ceballos
  • , Alain Sanchez-Ruiz
  • , Robert Griñó
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Impedance-based stability analysis techniques are increasingly used to assess the stability of power converter-dominated power systems. Among these techniques, the Generalized Bode Criterion (GBC) has emerged as a robust method, combining the strengths of the Nyquist Stability Criterion (NSC) with the ease of application of the Bode criterion. However, the GBC requires knowledge of the phase derivative at 0 Hz, which can be challenging to obtain when the system transfer function is analytically unknown. This paper proposes and proves a mathematical relation to eliminate the need for the phase derivative in the GBC. Consequently, all necessary information required for the GBC can be directly obtained from the system Bode plot, enabling the application of the GBC to power systems represented by black-box models with no detailed internal information. The proposed approach is validated by analyzing the stability of a DC-DC converter connected to a DC grid and comparing the results with time-domain simulations.

Original languageEnglish
Title of host publicationIECON 2025 - 51st Annual Conference of the IEEE Industrial Electronics Society
PublisherIEEE Computer Society
ISBN (Electronic)9798331596811
DOIs
Publication statusPublished - 2025
Event51st Annual Conference of the IEEE Industrial Electronics Society, IECON 2025 - Madrid, Spain
Duration: 14 Oct 202517 Oct 2025

Publication series

NameIECON Proceedings (Industrial Electronics Conference)
ISSN (Print)2162-4704
ISSN (Electronic)2577-1647

Conference

Conference51st Annual Conference of the IEEE Industrial Electronics Society, IECON 2025
Country/TerritorySpain
CityMadrid
Period14/10/2517/10/25

Keywords

  • Bode
  • DC grids
  • DC-DC Converter
  • Generalized Bode Criterion
  • Impedance-based analysis
  • Nyquist Stability
  • Power Electronics
  • Stability

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