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arXiv · 2609.26510

Plug-and-Play Stability Certificates Compliant with Black-Box Models of Devices

Petr Vorobev·Andrey Gorbunov·Youhong Chen·Janusz Bialek·Balarko Chaudhuri
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Abstract

This paper presents a new approach to the derivation of decentralized plug-and-play stability certificates that can be calculated using black-box admittance spectra, without requiring white-box models of devices. The method is based on analysing the properties of the nodal admittance matrix. The certificates ensure that the devices can be connected at any node of a network of any topology as long as the R/X ratio is within a specified range. The approach is related to the passivity concept, but uses frequency-dependent transformation matrices to check if a device, which is non-passive in a certain frequency range, can still satisfy a plug-and-play stability criterion. We illustrate the method using Grid Forming Inverters (GFMs) connected to IEEE 39 node test-case.

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Petr Vorobev, Andrey Gorbunov, Youhong Chen, Janusz Bialek, Balarko Chaudhuri. 2026-09-22. Plug-and-Play Stability Certificates Compliant with Black-Box Models of Devices. https://arxiv.org/abs/2609.26510

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