Work

On the impact of operating points on small-signal stability: Decentralized stability sets via scaled relative graphs

Year: 2026

Type: article

Abstract: This paper presents a decentralized frequency-domain framework to characterize the influence of the operating point on the small-signal stability of converter-dominated power systems. The approach builds on Scaled Relative Graph (SRG) analysis, extended here to address Linear Parameter-Varying (LPV) systems. By exploiting the affine dependence of converter admittances on their steady-state operating points, the centralized small-signal stability assessment of the grid is decomposed into decentralized, frequency-wise geometric tests. Each converter can independently evaluate its feasible stability region, expressed as a set of linear inequalities in its parameter space. The framework provides closed-form geometric characterizations applicable to both grid-following (GFL) and grid-forming (GFM) converters, and validation results confirm its effectiveness.

Source: Electric Power Systems Research

DOI: 10.1016/j.epsr.2026.113570

Authors: Eder Baron-Prada, Adolfo Anta, Florian Dörfler

Institutions: AIT Austrian Institute of Technology GmbH, ETH Zurich, Automatic Control Laboratory

Language: English

Topic: Microgrid Control and Optimization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

SDGs: Affordable and clean energy, Industry, innovation and infrastructure

Open Access status: hybrid

Estimated APC paid: $2,810