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Main Authors:	Yang, Peng, Su, Yifan, Peng, Xiaoyu, Geng, Hua, Liu, Feng
Format:	Preprint
Published:	2025
Subjects:	Systems and Control
Online Access:	https://arxiv.org/abs/2506.11411
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author	Yang, Peng Su, Yifan Peng, Xiaoyu Geng, Hua Liu, Feng
author_facet	Yang, Peng Su, Yifan Peng, Xiaoyu Geng, Hua Liu, Feng
contents	This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part II, we focus on methods for applying our theory to complex power grids. We first propose a method to verify the local condition, i.e., delta dissipativity, for heterogeneous devices in power systems. Then, we propose a method to verify the coupling condition based on Alternating Direction Method of Multipliers (ADMM). Finally, we investigate three applications of our theory including stability assessment toward multiple equilibria, stability assessment under varying operating conditions, and a distributed computing framework. Case studies on modified IEEE 9-bus, 39-bus, and 118-bus benchmarks well verified our theory and methods.
format	Preprint
id	arxiv_https___arxiv_org_abs_2506_11411
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Compositional and Equilibrium-Free Conditions for Power System Stability -- Part II: Method and Application Yang, Peng Su, Yifan Peng, Xiaoyu Geng, Hua Liu, Feng Systems and Control This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part II, we focus on methods for applying our theory to complex power grids. We first propose a method to verify the local condition, i.e., delta dissipativity, for heterogeneous devices in power systems. Then, we propose a method to verify the coupling condition based on Alternating Direction Method of Multipliers (ADMM). Finally, we investigate three applications of our theory including stability assessment toward multiple equilibria, stability assessment under varying operating conditions, and a distributed computing framework. Case studies on modified IEEE 9-bus, 39-bus, and 118-bus benchmarks well verified our theory and methods.
title	Compositional and Equilibrium-Free Conditions for Power System Stability -- Part II: Method and Application
topic	Systems and Control
url	https://arxiv.org/abs/2506.11411

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