Stability Analysis of Power-Electronics-Dominated Grids Using Scaled Relative Graphs
Eder Baron-Prada, Adolfo Anta, Florian D\"orfler

TL;DR
This paper introduces a new stability analysis method for power grids with converters using Scaled Relative Graphs, which simplifies stability assessment, handles various load types, and remains robust under different angular conditions.
Contribution
The paper presents a novel SRG-based framework that decouples grid and converter dynamics, improving stability analysis efficiency and robustness in power-electronics-dominated grids.
Findings
Effective stability analysis for linear and non-linear loads
Decouples grid and converter dynamics
Robust against dq-frame angular variations
Abstract
This paper presents a novel approach to stability analysis for grid-connected converters utilizing Scaled Relative Graphs (SRG). Our method effectively decouples grid and converter dynamics, thereby establishing a comprehensive and efficient framework for evaluating closed-loop stability. Our analysis accommodates both linear and non-linear loads, enhancing its practical applicability. Furthermore, we demonstrate that our stability assessment remains unaffected by angular variations resulting from dq-frame transformations, significantly increasing the method's robustness and versatility. The effectiveness of our approach is validated in several simulation case studies, which illustrate its broad applicability in modern power systems.
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Taxonomy
TopicsMicrogrid Control and Optimization · Power System Optimization and Stability · Control and Stability of Dynamical Systems
