Vulnerability and stability of power grids modeled by second-order Kuramoto model: a mini review

Author(s)

Lacerda, Juliana C. ^[1] ; Dias, Jussara ^[1] ; Freitas, Celso ^[1] ; Macau, Elbert ^[2]

Affiliation

^[1] Natl Inst Space Res, Associated Lab Comp & Appl Math, INPE, BR-12243010 Sao Jose Dos Campos, SP - Brazil

^[2] Univ Fed Sao Paulo, Inst Sci & Technol, BR-12247014 Sao Jose Dos Campos, SP - Brazil

• Document type: Review article
• Source: European Physical Journal-Special Topics; v. 230, n. 18-20, SI AUG 2021.
• Web of Science Citations: 2

Abstract

In this work, we derive a model to study and simulate the dynamics of power grids that, after a few approximations, turns out to be the second-order Kuramoto model. We then use this model to perform some numerical simulations that relate to the vulnerability and stability of energy transmission networks. In relation to the stability, assuming the grid is fully functional, and therefore, is in the synchronous state, we analyze how the grid responds to large perturbations, and also, how this response can be influenced by the location of the node being perturbed. We also show how a simple change in the topology or in the transmission capacity of a line can affect the synchronization of the grid. Regarding the vulnerability, some indexes to identify dynamically vulnerable nodes and edges are presented. (AU)

• FAPESP's process: 18/03211-6 - Non linear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants