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arXiv · 2309.08037

Gain and Phase: Decentralized Stability Conditions for Power Electronics-Dominated Power Systems

Linbin Huang·Dan Wang·Xiongfei Wang·Huanhai Xin·Ping Ju·Karl H. Johansson·Florian Dörfler
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Abstract

This paper proposes decentralized stability conditions for multi-converter systems based on the combination of the small gain theorem and the small phase theorem. Instead of directly computing the closed-loop dynamics, e.g., eigenvalues of the state-space matrix, or using the generalized Nyquist stability criterion, the proposed stability conditions are more scalable and computationally lighter, which aim at evaluating the closed-loop system stability by comparing the individual converter dynamics with the network dynamics in a decentralized and open-loop manner. Moreover, our approach can handle heterogeneous converters' dynamics and is suitable to analyze large-scale multi-converter power systems that contain grid-following (GFL), grid-forming (GFM) converters, and synchronous generators. Compared with other decentralized stability conditions, e.g., passivity-based stability conditions, the proposed conditions are significantly less conservative and can be generally satisfied in practice across the whole frequency range.

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Linbin Huang, Dan Wang, Xiongfei Wang, Huanhai Xin, Ping Ju, Karl H. Johansson, Florian Dörfler. 2023-09-14. Gain and Phase: Decentralized Stability Conditions for Power Electronics-Dominated Power Systems. https://arxiv.org/abs/2309.08037

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