CORTEXA
← Browse
arxiveess.SY2026-06-26

Decentralized Stability of IBR-dominated Power Grids Using Block Diagonal Dominance

Youhong Chen, Xiaoyu Tan, Muhammad Sharjeel Javaid, David Angeli, Balarko Chaudhuri

The growing penetration of inverter-based resources (IBRs) necessitates stability assessment methods that are scalable, decentralized, and model-agnostic. This paper develops a block diagonal dominance (BDD) criterion for decentralized small-signal stability of IBR-dominated power grids. The proposed approach forms the basis for an enhanced IBR connection compliance condition from a small-signal stability perspective that can be evaluated locally for IBRs to be connected to the grid. The proposed approach is shown to be much less conservative than strict diagonal dominance (SDD). Beyond mere stability, we ensure a minimum decay rate or maximum settling time for IBR-induced oscillation. Crucially, these are achieved without imposing restrictive assumptions on network or IBR models. The framework therefore, offers a practical and theoretically grounded basis for decentralized stability certificate of IBR-dominated power grids.

View free PDFSource page

Related papers

arxiveess.SY2026-07-10

Inertia-Aware Optimal Power Flow Using PINN in IBR-Dominated Power Systems

Mahyar Tofighi-Milani, Sajjad Fattaheian-Dehkordi, Franz Martin Rohrhofer, Matti Lehtonen

The problem of Optimal Power Flow (OPF) is central to the secure and economic operation of modern power systems. However, increasing renewable energy penetration, and decreasing system inertia pose significant challenges to conventional optimization-based OPF solvers. While machi…

View free PDFSource page
arxiveess.SY2026-07-10

Jacobian Voltage Stiffness Metric -- A Measure of Grid-Forming Capability and System Strength in IBR-Dominated Grids

Ambuj Gupta, Balarko Chaudhuri, Mark O'Malley

As power systems transition toward inverter-based resource (IBR)-dominated grids, traditional system strength definitions and metrics are becoming increasingly inadequate to characterize upcoming stability challenges. Emerging definitions characterize system strength in terms of…

View free PDFSource page
arxiveess.SY2026-07-02

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

Zhimeng Wang, Sushobhan Chatterjee, Sijia Geng, Richard Pates, Enrique Mallada

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 u…

View free PDFSource page
arxiveess.SY2026-07-11

Geometric Decentralized Stability Certificate of Power Electronics-Dominated Power Systems Covering Variable Operating Points

Ruohan Leng, Linbin Huang, Liangxiao Luo, Huanhai Xin, Xiongfei Wang, Florian Dörfler

The integration of power converters is profoundly changing the power system dynamics and poses significant challenges for stability analysis. The dynamic interactions between the power grid and the heterogeneous converters are highly complex and difficult to analyze due to the cu…

View free PDFSource page
arxiveess.SY2026-07-09

A graph theoretic view on small signal stability of inverter-based power grids

Iva Bačić, Jakob Niehues, Philipp C. Böttcher, Cai Dieball, Leonardo Rydin Gorjão, Andrea Benigni, et al.

Dynamic grid stability is traditionally ensured with synchronous generators. Modern grids rely substantially more on inverter-based resources, which require grid-forming control to guarantee adequate system-wide synchronization and stability. Small-signal stability has granted va…

View free PDFSource page
arxiveess.SY2026-07-06

Shadow Pricing of Static Voltage Stability Services within Unit Commitment for Inverter-Dominated Power Systems

Peng Wang, Luis Badesa

Modern power systems are increasingly dominated by Inverter-Based Resources (IBR), most of which work in Grid-following (GFL) mode. This implies that they do not directly control their terminal voltage, so the static voltage stability at these buses may be compromised, especially…

View free PDFSource page