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arXiv · 2607.01643

Decentralized Stability Certificates in IBR-Dominated Grids: The Role of the Network State

Zhimeng Wang·Sushobhan Chatterjee·Sijia Geng·Richard Pates·Enrique Mallada
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Abstract

Small-signal instabilities, such as unforced sub-synchronous oscillations (SSOs), are increasingly observed in inverter-based resource (IBR) dominated grids. While decentralized stability certificates offer a scalable means to avoid instability onset, they are typically derived under restrictive network-state assumptions--such as small angle differences or negligible voltage drops--that cannot capture how departures from these conditions affect system stability. In this paper, we develop a network model and a decentralized analysis framework that explicitly characterizes how reactive power mismatches, line loading, and inverter control parameters jointly determine small-signal stability. We show that increased steady-state reactive power mismatches and line loading lead to more stringent conditions on admissible inverter droop gains. These results make decentralized stability certificates explicitly network-state dependent, showing how network stress shrinks the set of stabilizing local controller parameters.

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Zhimeng Wang, Sushobhan Chatterjee, Sijia Geng, Richard Pates, Enrique Mallada. 2026-09-15. Decentralized Stability Certificates in IBR-Dominated Grids: The Role of the Network State. https://arxiv.org/abs/2607.01643

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