On the Impact of Operating Points on Small-Signal Stability: Decentralized Stability Sets via Scaled Relative Graphs
This addresses stability challenges in power grids with high renewable integration, offering a decentralized approach for converter control, though it is incremental as it builds on existing Scaled Relative Graph analysis.
This paper tackled the problem of assessing small-signal stability in converter-dominated power systems by developing a decentralized frequency-domain framework that decomposes stability analysis into independent geometric tests for each converter, with validation confirming its effectiveness.
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.