Version 1
: Received: 9 October 2024 / Approved: 10 October 2024 / Online: 10 October 2024 (15:22:15 CEST)
How to cite:
Ginzburg-Ganz, E.; Belikov, J.; Katzir, L.; Levron, Y. Uses of the Popov Stability Criterion for Analyzing Global Asymptotic Stability in Power System Dynamic Models. Preprints2024, 2024100809. https://doi.org/10.20944/preprints202410.0809.v1
Ginzburg-Ganz, E.; Belikov, J.; Katzir, L.; Levron, Y. Uses of the Popov Stability Criterion for Analyzing Global Asymptotic Stability in Power System Dynamic Models. Preprints 2024, 2024100809. https://doi.org/10.20944/preprints202410.0809.v1
Ginzburg-Ganz, E.; Belikov, J.; Katzir, L.; Levron, Y. Uses of the Popov Stability Criterion for Analyzing Global Asymptotic Stability in Power System Dynamic Models. Preprints2024, 2024100809. https://doi.org/10.20944/preprints202410.0809.v1
APA Style
Ginzburg-Ganz, E., Belikov, J., Katzir, L., & Levron, Y. (2024). Uses of the Popov Stability Criterion for Analyzing Global Asymptotic Stability in Power System Dynamic Models. Preprints. https://doi.org/10.20944/preprints202410.0809.v1
Chicago/Turabian Style
Ginzburg-Ganz, E., Liran Katzir and Yoash Levron. 2024 "Uses of the Popov Stability Criterion for Analyzing Global Asymptotic Stability in Power System Dynamic Models" Preprints. https://doi.org/10.20944/preprints202410.0809.v1
Abstract
Stability studies remain a crucial aspect of power systems dynamic analysis, and are typically explored in three main categories: numerical methods, linearization techniques, or direct methods, which utilize Lyapunov energy functions. This paper belongs to the third category, and highlights the usefulness of the Popov stability criterion in the analysis of nonlinear power system models. The main advantage of this criterion is that it provides conditions for global asymptotic stability of an equilibrium point, for a nonlinear dynamic system. We show a general method to apply this stability criterion, and examine its uses in several specific applications and case-studies. The results are demonstrated by analyzing the stability of a system that includes a grid-connected storage device and a renewable energy source.
Keywords
nonlinear control; energy storage; direct methods; stability; frequency stability; Popov's stability criterion; synchronous machines
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
